-
Harmonic Series
This calculus 2 video provides a basic introduction into the harmonic series. It explains why the harmonic series diverges using the integral test for series.
Improper Integrals: https://www.youtube.com/watch?v=ND9cEdfCFr0
Converging & Diverging Sequences:
https://www.youtube.com/watch?v=XdkoTb8PEG0
Monotonic & Bounded Sequences:
https://www.youtube.com/watch?v=tHy3TXmZpF0
Absolute Value Theorem - Sequences:
https://www.youtube.com/watch?v=kH5Zqg5j-3M
Squeeze Theorem - Sequences:
https://www.youtube.com/watch?v=21loY9MBK3A
________________________________
Geometric Series & Sequences:
https://www.youtube.com/watch?v=zRKZ0-kOUZM
Introduction to Series - Convergence:
https://www.youtube.com/watch?v=zg9...
published: 28 Mar 2018
-
The most mind-blowing concept in music (Harmonic Series)
Order my book Make Your Own Rules! https://andrewhuang.com/book
The literal foundation of almost all music! FYI a good one to watch all the way through / not skip around because everything builds on what came before. Leave a comment if you have any questions - also some resources linked further down here. :)
→ Subscribe http://bit.ly/subAndrewHuang
→ Sign up for my online music production class: http://learnmonthly.com/andrew
→ Learn more about production & music theory with this playlist: http://bit.ly/AHMusicandProduction
Support my work on Patreon and be the first to get all my new music: http://patreon.com/andrewhuang
Merch!
https://teespring.com/stores/andrewismusic
★ LISTEN TO MY MUSIC ★
Spotify http://spoti.fi/2pF0qRB
iTunes http://apple.co/2psaUmL
Google Play http:/...
published: 07 May 2020
-
Harmonic Series - Explained
Excellent explanation of the harmonic series
published: 10 Dec 2016
-
Intro To The Harmonic Series - TWO MINUTE MUSIC THEORY #31
Music is made by sound waves. The objects that make those waves make complex waves. Which create what we call Harmonics. Today we look at some Music Physics and get an intro to the Harmonic Series.
Bernstein Lecture at Harvard: https://www.youtube.com/watch?v=8fHi36dvTdE
Exclusive and Curated content in Music Theory, Composition, and Musicology are yours for free in my email newsletter: https://www.jessestrickland.com/email-newsletter-landing
MUSIC COMMUNITY
_____________________
Join a community of people who want to get better at composition, music theory, and musicology; and get access to my music courses, resources, and exclusive content. https://www.jessestrickland.com/membership-signup
COURSES AND RESOURCES
____________________________
►► Understanding Music Theory: Overcoming t...
published: 18 Jan 2018
-
The Harmonic Series | Illustrated Theory of Music #8
Keep up to date with the Illustrated Theory of Music. Subscribe to our YouTube channel today by clicking the red 'subscribe' button. It is free for you and it would mean a lot to us! https://www.youtube.com/channel/UCrHICovzXa3ePnfRqUV5wkQ
Welcome to the Orchestra of the Age of Enlightenment's, 'Illustrated Theory of Music'. This series of short, informal videos animate the stories behind music theory and provoke new questions about what we think we know. What does a 'quaver' really mean? Why do we use bars? Why does it have to be so slow? The series is led by the OAE’s dedicated musicians but audiences are invited to ask questions, challenge conventional wisdom and help to build a new understanding of music. Please share your thoughts in the comment box below!
Covid-19 has meant that al...
published: 17 Nov 2020
-
Harmonic series and 𝑝-series | AP®︎ Calculus BC | Khan Academy
Keep going! Check out the next lesson and practice what you’re learning:
https://www.khanacademy.org/math/ap-calculus-bc/bc-series-new/bc-10-5/v/p-series-convergence
𝑝-series is a family of series where the terms are of the form 1/(nᵖ) for some value of 𝑝. The Harmonic series is the special case where 𝑝=1. These series are very interesting and useful.
View more lessons or practice this subject at https://www.khanacademy.org/v/harmonic-and-p-series
Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide t...
published: 07 Aug 2019
-
Harmonic Series | It diverges, but insanely slowly!
After the Geometric Series, the Harmonic Series is one of the most important examples in Calculus. This is a series that we will show - by investigating the partial sums - diverges. But it turns out to diverge incredibly slowly, taking over 10^43 terms just to add up to 100.
****************************************************
YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems!
****************************************************
►Full Course Playlist: CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
****************************************************
Other Course Playlists:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
...
published: 15 Feb 2019
-
Mikrotöne: Small is beautiful V - X
Presentations X at the Symposium "Mikrotöne: Small is beautiful V" on 1 July 2023, at the Mozarteum University Salzburg:
0:00:00 Dongryul Lee (KOR) - Redefining Harmony: Limited Consonant Ratio Integers and Thresholds in Microtonal Tuning Systems
0:46:30 Katarzyna Bartos (POL) - Between freedom and structure in "Iluzje" by Adam Porębski
1:28:46 Stephen Tian-You Ai (USA) - Danger! Wolf Crossing: Expressive Discordance in Froberger’s Keyboard Music
2:03:59 Jonathan Dawe (USA) - Cellular Automata in a Microtonal Realm: "Mottetti Microscopicio" for two Scordatura Guitars
published: 06 Aug 2023
-
Geometry of the Alternating Harmonic Series (visual proof)
This is a short, animated visual proof computing the sum of a the alternating harmonic series using a geometric argument. In particular, we recognize the sum of the alternating harmonic series as the area under the rectangular hyperbola, y=1/x over the interval [1,2]. To do this, we carefully describe a dissection process where we cut rectangles in half and replace half strategically with new rectangles, thus resulting in the final desired infinite series. We then use the fundamental theorem of calculus to compute the sum of the alternating harmonic series to be ln(2).
If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks!
This animation is based on a visual proof by Matt Hudelson from the October 201...
published: 16 Jun 2023
3:52
Harmonic Series
This calculus 2 video provides a basic introduction into the harmonic series. It explains why the harmonic series diverges using the integral test for series.
...
This calculus 2 video provides a basic introduction into the harmonic series. It explains why the harmonic series diverges using the integral test for series.
Improper Integrals: https://www.youtube.com/watch?v=ND9cEdfCFr0
Converging & Diverging Sequences:
https://www.youtube.com/watch?v=XdkoTb8PEG0
Monotonic & Bounded Sequences:
https://www.youtube.com/watch?v=tHy3TXmZpF0
Absolute Value Theorem - Sequences:
https://www.youtube.com/watch?v=kH5Zqg5j-3M
Squeeze Theorem - Sequences:
https://www.youtube.com/watch?v=21loY9MBK3A
________________________________
Geometric Series & Sequences:
https://www.youtube.com/watch?v=zRKZ0-kOUZM
Introduction to Series - Convergence:
https://www.youtube.com/watch?v=zg9N2gAf6a4
Divergence Test For Series:
https://www.youtube.com/watch?v=nC_IU1IzzS4
Harmonic Series:
https://www.youtube.com/watch?v=OqBZCycIYfw
Telescoping Series:
https://www.youtube.com/watch?v=XVkdhU6nJbo
__________________________________
Integral Test For Divergence:
https://www.youtube.com/watch?v=f9SJz4-UaQQ
Remainder Estimate - Integral Test:
https://www.youtube.com/watch?v=vaU5DDcTfZk
P-Series:
https://www.youtube.com/watch?v=x621rtIwb_4
Direct Comparison Test:
https://www.youtube.com/watch?v=oZtAgihok5s
Limit Comparison Test:
https://www.youtube.com/watch?v=LBxYQ0TJxYM
___________________________________
Calculus Final Exam and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
https://wn.com/Harmonic_Series
This calculus 2 video provides a basic introduction into the harmonic series. It explains why the harmonic series diverges using the integral test for series.
Improper Integrals: https://www.youtube.com/watch?v=ND9cEdfCFr0
Converging & Diverging Sequences:
https://www.youtube.com/watch?v=XdkoTb8PEG0
Monotonic & Bounded Sequences:
https://www.youtube.com/watch?v=tHy3TXmZpF0
Absolute Value Theorem - Sequences:
https://www.youtube.com/watch?v=kH5Zqg5j-3M
Squeeze Theorem - Sequences:
https://www.youtube.com/watch?v=21loY9MBK3A
________________________________
Geometric Series & Sequences:
https://www.youtube.com/watch?v=zRKZ0-kOUZM
Introduction to Series - Convergence:
https://www.youtube.com/watch?v=zg9N2gAf6a4
Divergence Test For Series:
https://www.youtube.com/watch?v=nC_IU1IzzS4
Harmonic Series:
https://www.youtube.com/watch?v=OqBZCycIYfw
Telescoping Series:
https://www.youtube.com/watch?v=XVkdhU6nJbo
__________________________________
Integral Test For Divergence:
https://www.youtube.com/watch?v=f9SJz4-UaQQ
Remainder Estimate - Integral Test:
https://www.youtube.com/watch?v=vaU5DDcTfZk
P-Series:
https://www.youtube.com/watch?v=x621rtIwb_4
Direct Comparison Test:
https://www.youtube.com/watch?v=oZtAgihok5s
Limit Comparison Test:
https://www.youtube.com/watch?v=LBxYQ0TJxYM
___________________________________
Calculus Final Exam and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
- published: 28 Mar 2018
- views: 259863
15:07
The most mind-blowing concept in music (Harmonic Series)
Order my book Make Your Own Rules! https://andrewhuang.com/book
The literal foundation of almost all music! FYI a good one to watch all the way through / not s...
Order my book Make Your Own Rules! https://andrewhuang.com/book
The literal foundation of almost all music! FYI a good one to watch all the way through / not skip around because everything builds on what came before. Leave a comment if you have any questions - also some resources linked further down here. :)
→ Subscribe http://bit.ly/subAndrewHuang
→ Sign up for my online music production class: http://learnmonthly.com/andrew
→ Learn more about production & music theory with this playlist: http://bit.ly/AHMusicandProduction
Support my work on Patreon and be the first to get all my new music: http://patreon.com/andrewhuang
Merch!
https://teespring.com/stores/andrewismusic
★ LISTEN TO MY MUSIC ★
Spotify http://spoti.fi/2pF0qRB
iTunes http://apple.co/2psaUmL
Google Play http://bit.ly/2qlhAjy
Bandcamp http://bit.ly/2oRWCby
★ FOLLOW ME HERE ★
Instagram http://instagram.com/andrewismusic
Twitter http://twitter.com/andrewhuang
Facebook http://facebook.com/andrewismusic
★ GEAR ★
Disclosure: Most of these are affiliate links - if you buy anything through them (even if it's not the linked item) I'll receive a small percentage, which helps support my channel.
Keyboard https://bit.ly/2MH4xbN
Modular https://www.pntrac.com/t/TUJGR0tHS0JHSUZFSE1CR0hMRUZL
Headphones - lots of hype https://amzn.to/2JmTmDK
Headphones - super pro omg https://amzn.to/2VOcmjz
Small audio interface https://amzn.to/2H7x4mx
Big audio interface https://bit.ly/33r0SER
Analog preamp/comp https://bit.ly/2RvrYIe
OP-1 https://bit.ly/3zeypjP
How I learned synthesis https://bit.ly/2PROCoT
Mic 1 https://bit.ly/3uqMrwH
Mic 2 https://bit.ly/3eWuBv1
Vlog mic http://amzn.to/2lpjHEq
Main camera http://amzn.to/2aHkv35
I use Distrokid to get my music on streaming platforms - get 7% off your first year here: http://distrokid.com/vip/huang
★ RESOURCES ★
Interactive diagram
https://alexanderchen.github.io/harmonics/
"What is a Fourier Series?" by SmarterEveryDay
https://www.youtube.com/watch?v=ds0cmAV-Yek
Most of my other diagrams are straight from the harmonic series Wikipedia page - also a good spot to brush up on these concepts but definitely very technical!
https://en.wikipedia.org/wiki/Harmonic_series_(music)
★ SPECIAL THANKS TO ALL MY TOP PATRONS ★
Adrian Durand
arin hanson
Brian Estlin
Corey Frang
cubedparadox
Curtis Chambers
David Kincaid
F L R COUCH
Gnare
Jack Morris
José Miguel
Julie Bandin
kris flores
Kristopher Charles
Luke Gilliam
Mark Yardley
Nick Simmons
Peter Vermeychuk
rd1994
Robert de Forest
robert jornayvaz
Samuel Costa
Shannon manning
Silas Reaper
Timothy McLane
Tobias Gurdan
TobiCaboose
Vach Man
--
If you're new here, my name is Andrew Huang and I'm a musician who works with many genres and many instruments - and I've also made music with many things that aren't instruments like balloons, pants, water, and dentist equipment. For more info visit my website: http://andrewhuang.com
You can also stream and download my 40+ albums and EPs at http://andrewhuang.bandcamp.com or check out my other videos at http://youtube.com/andrewhuang
Thanks for watching today and a big hug to you if you share this video with someone!
https://wn.com/The_Most_Mind_Blowing_Concept_In_Music_(Harmonic_Series)
Order my book Make Your Own Rules! https://andrewhuang.com/book
The literal foundation of almost all music! FYI a good one to watch all the way through / not skip around because everything builds on what came before. Leave a comment if you have any questions - also some resources linked further down here. :)
→ Subscribe http://bit.ly/subAndrewHuang
→ Sign up for my online music production class: http://learnmonthly.com/andrew
→ Learn more about production & music theory with this playlist: http://bit.ly/AHMusicandProduction
Support my work on Patreon and be the first to get all my new music: http://patreon.com/andrewhuang
Merch!
https://teespring.com/stores/andrewismusic
★ LISTEN TO MY MUSIC ★
Spotify http://spoti.fi/2pF0qRB
iTunes http://apple.co/2psaUmL
Google Play http://bit.ly/2qlhAjy
Bandcamp http://bit.ly/2oRWCby
★ FOLLOW ME HERE ★
Instagram http://instagram.com/andrewismusic
Twitter http://twitter.com/andrewhuang
Facebook http://facebook.com/andrewismusic
★ GEAR ★
Disclosure: Most of these are affiliate links - if you buy anything through them (even if it's not the linked item) I'll receive a small percentage, which helps support my channel.
Keyboard https://bit.ly/2MH4xbN
Modular https://www.pntrac.com/t/TUJGR0tHS0JHSUZFSE1CR0hMRUZL
Headphones - lots of hype https://amzn.to/2JmTmDK
Headphones - super pro omg https://amzn.to/2VOcmjz
Small audio interface https://amzn.to/2H7x4mx
Big audio interface https://bit.ly/33r0SER
Analog preamp/comp https://bit.ly/2RvrYIe
OP-1 https://bit.ly/3zeypjP
How I learned synthesis https://bit.ly/2PROCoT
Mic 1 https://bit.ly/3uqMrwH
Mic 2 https://bit.ly/3eWuBv1
Vlog mic http://amzn.to/2lpjHEq
Main camera http://amzn.to/2aHkv35
I use Distrokid to get my music on streaming platforms - get 7% off your first year here: http://distrokid.com/vip/huang
★ RESOURCES ★
Interactive diagram
https://alexanderchen.github.io/harmonics/
"What is a Fourier Series?" by SmarterEveryDay
https://www.youtube.com/watch?v=ds0cmAV-Yek
Most of my other diagrams are straight from the harmonic series Wikipedia page - also a good spot to brush up on these concepts but definitely very technical!
https://en.wikipedia.org/wiki/Harmonic_series_(music)
★ SPECIAL THANKS TO ALL MY TOP PATRONS ★
Adrian Durand
arin hanson
Brian Estlin
Corey Frang
cubedparadox
Curtis Chambers
David Kincaid
F L R COUCH
Gnare
Jack Morris
José Miguel
Julie Bandin
kris flores
Kristopher Charles
Luke Gilliam
Mark Yardley
Nick Simmons
Peter Vermeychuk
rd1994
Robert de Forest
robert jornayvaz
Samuel Costa
Shannon manning
Silas Reaper
Timothy McLane
Tobias Gurdan
TobiCaboose
Vach Man
--
If you're new here, my name is Andrew Huang and I'm a musician who works with many genres and many instruments - and I've also made music with many things that aren't instruments like balloons, pants, water, and dentist equipment. For more info visit my website: http://andrewhuang.com
You can also stream and download my 40+ albums and EPs at http://andrewhuang.bandcamp.com or check out my other videos at http://youtube.com/andrewhuang
Thanks for watching today and a big hug to you if you share this video with someone!
- published: 07 May 2020
- views: 1195100
8:48
Harmonic Series - Explained
Excellent explanation of the harmonic series
Excellent explanation of the harmonic series
https://wn.com/Harmonic_Series_Explained
Excellent explanation of the harmonic series
- published: 10 Dec 2016
- views: 86487
3:44
Intro To The Harmonic Series - TWO MINUTE MUSIC THEORY #31
Music is made by sound waves. The objects that make those waves make complex waves. Which create what we call Harmonics. Today we look at some Music Physics and...
Music is made by sound waves. The objects that make those waves make complex waves. Which create what we call Harmonics. Today we look at some Music Physics and get an intro to the Harmonic Series.
Bernstein Lecture at Harvard: https://www.youtube.com/watch?v=8fHi36dvTdE
Exclusive and Curated content in Music Theory, Composition, and Musicology are yours for free in my email newsletter: https://www.jessestrickland.com/email-newsletter-landing
MUSIC COMMUNITY
_____________________
Join a community of people who want to get better at composition, music theory, and musicology; and get access to my music courses, resources, and exclusive content. https://www.jessestrickland.com/membership-signup
COURSES AND RESOURCES
____________________________
►► Understanding Music Theory: Overcoming the Mental Blocks to Music Theory Fluency - https://www.jessestrickland.com/understanding-music-theory
►► Start Write Now: Write Your First Composition In 30 Days: https://www.jessestrickland.com/start-write-now
►► DIGITAL MUSIC RESOURCES: https://www.jessestrickland.com/resources
Support the creation of new music resources (and my coffee habit): https://www.buymeacoffee.com/jessestrickland
Check out my composition focused youtube channel: https://www.youtube.com/@JesseStrickland
► Gear I Use/Music Recommendations: www.jessestrickland.com/blog-exclusives/2024/4/1/a-list-of-music-recommendations-and-gear-i-use
CONNECT WITH ME
________________________________
Website: www.jessestrickland.com
Instagram: instagram.com/jessestricklandmusic
Newsletter sign up: https://www.jessestrickland.com/email-newsletter-landing
Music Latest: www.jessestrickland.com/music
Hey, I'm Jesse, a composer and music theorist. I believe that Music Theory is a practical and valuable artform for all musicians throughout their lifetime. On this channel, I am making videos to help all musicians grow in their understanding of music theory and how it can make them a better musician.
https://wn.com/Intro_To_The_Harmonic_Series_Two_Minute_Music_Theory_31
Music is made by sound waves. The objects that make those waves make complex waves. Which create what we call Harmonics. Today we look at some Music Physics and get an intro to the Harmonic Series.
Bernstein Lecture at Harvard: https://www.youtube.com/watch?v=8fHi36dvTdE
Exclusive and Curated content in Music Theory, Composition, and Musicology are yours for free in my email newsletter: https://www.jessestrickland.com/email-newsletter-landing
MUSIC COMMUNITY
_____________________
Join a community of people who want to get better at composition, music theory, and musicology; and get access to my music courses, resources, and exclusive content. https://www.jessestrickland.com/membership-signup
COURSES AND RESOURCES
____________________________
►► Understanding Music Theory: Overcoming the Mental Blocks to Music Theory Fluency - https://www.jessestrickland.com/understanding-music-theory
►► Start Write Now: Write Your First Composition In 30 Days: https://www.jessestrickland.com/start-write-now
►► DIGITAL MUSIC RESOURCES: https://www.jessestrickland.com/resources
Support the creation of new music resources (and my coffee habit): https://www.buymeacoffee.com/jessestrickland
Check out my composition focused youtube channel: https://www.youtube.com/@JesseStrickland
► Gear I Use/Music Recommendations: www.jessestrickland.com/blog-exclusives/2024/4/1/a-list-of-music-recommendations-and-gear-i-use
CONNECT WITH ME
________________________________
Website: www.jessestrickland.com
Instagram: instagram.com/jessestricklandmusic
Newsletter sign up: https://www.jessestrickland.com/email-newsletter-landing
Music Latest: www.jessestrickland.com/music
Hey, I'm Jesse, a composer and music theorist. I believe that Music Theory is a practical and valuable artform for all musicians throughout their lifetime. On this channel, I am making videos to help all musicians grow in their understanding of music theory and how it can make them a better musician.
- published: 18 Jan 2018
- views: 184182
12:34
The Harmonic Series | Illustrated Theory of Music #8
Keep up to date with the Illustrated Theory of Music. Subscribe to our YouTube channel today by clicking the red 'subscribe' button. It is free for you and it w...
Keep up to date with the Illustrated Theory of Music. Subscribe to our YouTube channel today by clicking the red 'subscribe' button. It is free for you and it would mean a lot to us! https://www.youtube.com/channel/UCrHICovzXa3ePnfRqUV5wkQ
Welcome to the Orchestra of the Age of Enlightenment's, 'Illustrated Theory of Music'. This series of short, informal videos animate the stories behind music theory and provoke new questions about what we think we know. What does a 'quaver' really mean? Why do we use bars? Why does it have to be so slow? The series is led by the OAE’s dedicated musicians but audiences are invited to ask questions, challenge conventional wisdom and help to build a new understanding of music. Please share your thoughts in the comment box below!
Covid-19 has meant that all our live concerts have been cancelled. This is a devastating loss of income.
Please consider making a donation to
support the OAE through this crisis:
https://oae.co.uk/donate
Website: http://oae.co.uk
Facebook: https://www.facebook.com/orchestraoftheageofenlightenment
Twitter: https://twitter.com/theoae
Instagram: https://www.instagram.com/oae_photos/
We are grateful for the support of our OAE Corporate Partners:
Gramophone: https://www.gramophone.co.uk/
Swan Turton: https://swanturton.com/
Champagne Deutz: https://www.champagne-deutz.com/en/
https://wn.com/The_Harmonic_Series_|_Illustrated_Theory_Of_Music_8
Keep up to date with the Illustrated Theory of Music. Subscribe to our YouTube channel today by clicking the red 'subscribe' button. It is free for you and it would mean a lot to us! https://www.youtube.com/channel/UCrHICovzXa3ePnfRqUV5wkQ
Welcome to the Orchestra of the Age of Enlightenment's, 'Illustrated Theory of Music'. This series of short, informal videos animate the stories behind music theory and provoke new questions about what we think we know. What does a 'quaver' really mean? Why do we use bars? Why does it have to be so slow? The series is led by the OAE’s dedicated musicians but audiences are invited to ask questions, challenge conventional wisdom and help to build a new understanding of music. Please share your thoughts in the comment box below!
Covid-19 has meant that all our live concerts have been cancelled. This is a devastating loss of income.
Please consider making a donation to
support the OAE through this crisis:
https://oae.co.uk/donate
Website: http://oae.co.uk
Facebook: https://www.facebook.com/orchestraoftheageofenlightenment
Twitter: https://twitter.com/theoae
Instagram: https://www.instagram.com/oae_photos/
We are grateful for the support of our OAE Corporate Partners:
Gramophone: https://www.gramophone.co.uk/
Swan Turton: https://swanturton.com/
Champagne Deutz: https://www.champagne-deutz.com/en/
- published: 17 Nov 2020
- views: 56176
5:10
Harmonic series and 𝑝-series | AP®︎ Calculus BC | Khan Academy
Keep going! Check out the next lesson and practice what you’re learning:
https://www.khanacademy.org/math/ap-calculus-bc/bc-series-new/bc-10-5/v/p-series-conver...
Keep going! Check out the next lesson and practice what you’re learning:
https://www.khanacademy.org/math/ap-calculus-bc/bc-series-new/bc-10-5/v/p-series-convergence
𝑝-series is a family of series where the terms are of the form 1/(nᵖ) for some value of 𝑝. The Harmonic series is the special case where 𝑝=1. These series are very interesting and useful.
View more lessons or practice this subject at https://www.khanacademy.org/v/harmonic-and-p-series
Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help!
Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc
Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc
https://wn.com/Harmonic_Series_And_𝑝_Series_|_Ap®︎_Calculus_Bc_|_Khan_Academy
Keep going! Check out the next lesson and practice what you’re learning:
https://www.khanacademy.org/math/ap-calculus-bc/bc-series-new/bc-10-5/v/p-series-convergence
𝑝-series is a family of series where the terms are of the form 1/(nᵖ) for some value of 𝑝. The Harmonic series is the special case where 𝑝=1. These series are very interesting and useful.
View more lessons or practice this subject at https://www.khanacademy.org/v/harmonic-and-p-series
Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help!
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- published: 07 Aug 2019
- views: 28788
4:39
Harmonic Series | It diverges, but insanely slowly!
After the Geometric Series, the Harmonic Series is one of the most important examples in Calculus. This is a series that we will show - by investigating the par...
After the Geometric Series, the Harmonic Series is one of the most important examples in Calculus. This is a series that we will show - by investigating the partial sums - diverges. But it turns out to diverge incredibly slowly, taking over 10^43 terms just to add up to 100.
****************************************************
YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems!
****************************************************
►Full Course Playlist: CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
****************************************************
Other Course Playlists:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
***************************************************
► Want to learn math effectively? Check out my "Learning Math" Series:
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Want some cool math? Check out my "Cool Math" Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
*****************************************************
►Check out my 2nd Channel for lower production quality "live" math videos: https://www.youtube.com/channel/UCFNL8G1CZ4dH0p-Jf7UXqdQ
*****************************************************
►Follow me on Twitter: http://twitter.com/treforbazett
*****************************************************
This video was created by Dr. Trefor Bazett, an Assistant Professor, Educator at the University of Cincinnati.
BECOME A MEMBER:
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https://wn.com/Harmonic_Series_|_It_Diverges,_But_Insanely_Slowly
After the Geometric Series, the Harmonic Series is one of the most important examples in Calculus. This is a series that we will show - by investigating the partial sums - diverges. But it turns out to diverge incredibly slowly, taking over 10^43 terms just to add up to 100.
****************************************************
YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems!
****************************************************
►Full Course Playlist: CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
****************************************************
Other Course Playlists:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
***************************************************
► Want to learn math effectively? Check out my "Learning Math" Series:
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Want some cool math? Check out my "Cool Math" Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
*****************************************************
►Check out my 2nd Channel for lower production quality "live" math videos: https://www.youtube.com/channel/UCFNL8G1CZ4dH0p-Jf7UXqdQ
*****************************************************
►Follow me on Twitter: http://twitter.com/treforbazett
*****************************************************
This video was created by Dr. Trefor Bazett, an Assistant Professor, Educator at the University of Cincinnati.
BECOME A MEMBER:
►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join
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- published: 15 Feb 2019
- views: 33340
2:50:36
Mikrotöne: Small is beautiful V - X
Presentations X at the Symposium "Mikrotöne: Small is beautiful V" on 1 July 2023, at the Mozarteum University Salzburg:
0:00:00 Dongryul Lee (KOR) - Redefining...
Presentations X at the Symposium "Mikrotöne: Small is beautiful V" on 1 July 2023, at the Mozarteum University Salzburg:
0:00:00 Dongryul Lee (KOR) - Redefining Harmony: Limited Consonant Ratio Integers and Thresholds in Microtonal Tuning Systems
0:46:30 Katarzyna Bartos (POL) - Between freedom and structure in "Iluzje" by Adam Porębski
1:28:46 Stephen Tian-You Ai (USA) - Danger! Wolf Crossing: Expressive Discordance in Froberger’s Keyboard Music
2:03:59 Jonathan Dawe (USA) - Cellular Automata in a Microtonal Realm: "Mottetti Microscopicio" for two Scordatura Guitars
https://wn.com/Mikrotöne_Small_Is_Beautiful_V_X
Presentations X at the Symposium "Mikrotöne: Small is beautiful V" on 1 July 2023, at the Mozarteum University Salzburg:
0:00:00 Dongryul Lee (KOR) - Redefining Harmony: Limited Consonant Ratio Integers and Thresholds in Microtonal Tuning Systems
0:46:30 Katarzyna Bartos (POL) - Between freedom and structure in "Iluzje" by Adam Porębski
1:28:46 Stephen Tian-You Ai (USA) - Danger! Wolf Crossing: Expressive Discordance in Froberger’s Keyboard Music
2:03:59 Jonathan Dawe (USA) - Cellular Automata in a Microtonal Realm: "Mottetti Microscopicio" for two Scordatura Guitars
- published: 06 Aug 2023
- views: 6
4:20
Geometry of the Alternating Harmonic Series (visual proof)
This is a short, animated visual proof computing the sum of a the alternating harmonic series using a geometric argument. In particular, we recognize the sum of...
This is a short, animated visual proof computing the sum of a the alternating harmonic series using a geometric argument. In particular, we recognize the sum of the alternating harmonic series as the area under the rectangular hyperbola, y=1/x over the interval [1,2]. To do this, we carefully describe a dissection process where we cut rectangles in half and replace half strategically with new rectangles, thus resulting in the final desired infinite series. We then use the fundamental theorem of calculus to compute the sum of the alternating harmonic series to be ln(2).
If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks!
This animation is based on a visual proof by Matt Hudelson from the October 2010 issue of Mathematics Magazine (https://www.maa.org/sites/default/files/Hudleson-MMz-201007804.pdf p. 294).
#math #infiniteseries #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #calculus #harmonicseries #alternatingharmonicseries #series #mathvideo #naturallogarithm #logarithm #ln2 #Riemannsums #dissectionproof #dissection #area #integral #integralcalculus
To learn more about animating with manim, check out:
https://manim.community
___________________________________
Music in this video:
Meditation Impromptu 03 by Kevin MacLeod is licensed under a Creative Commons Attribution 4.0 license. https://creativecommons.org/licenses/by/4.0/
Source: http://incompetech.com/music/royalty-free/index.html?isrc=USUAN1100161
Artist: http://incompetech.com/
https://wn.com/Geometry_Of_The_Alternating_Harmonic_Series_(Visual_Proof)
This is a short, animated visual proof computing the sum of a the alternating harmonic series using a geometric argument. In particular, we recognize the sum of the alternating harmonic series as the area under the rectangular hyperbola, y=1/x over the interval [1,2]. To do this, we carefully describe a dissection process where we cut rectangles in half and replace half strategically with new rectangles, thus resulting in the final desired infinite series. We then use the fundamental theorem of calculus to compute the sum of the alternating harmonic series to be ln(2).
If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks!
This animation is based on a visual proof by Matt Hudelson from the October 2010 issue of Mathematics Magazine (https://www.maa.org/sites/default/files/Hudleson-MMz-201007804.pdf p. 294).
#math #infiniteseries #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #calculus #harmonicseries #alternatingharmonicseries #series #mathvideo #naturallogarithm #logarithm #ln2 #Riemannsums #dissectionproof #dissection #area #integral #integralcalculus
To learn more about animating with manim, check out:
https://manim.community
___________________________________
Music in this video:
Meditation Impromptu 03 by Kevin MacLeod is licensed under a Creative Commons Attribution 4.0 license. https://creativecommons.org/licenses/by/4.0/
Source: http://incompetech.com/music/royalty-free/index.html?isrc=USUAN1100161
Artist: http://incompetech.com/
- published: 16 Jun 2023
- views: 4049
-
The most mind-blowing concept in music (Harmonic Series)
Order my book Make Your Own Rules! https://andrewhuang.com/book
The literal foundation of almost all music! FYI a good one to watch all the way through / not skip around because everything builds on what came before. Leave a comment if you have any questions - also some resources linked further down here. :)
→ Subscribe http://bit.ly/subAndrewHuang
→ Sign up for my online music production class: http://learnmonthly.com/andrew
→ Learn more about production & music theory with this playlist: http://bit.ly/AHMusicandProduction
Support my work on Patreon and be the first to get all my new music: http://patreon.com/andrewhuang
Merch!
https://teespring.com/stores/andrewismusic
★ LISTEN TO MY MUSIC ★
Spotify http://spoti.fi/2pF0qRB
iTunes http://apple.co/2psaUmL
Google Play http:/...
published: 07 May 2020
-
The Harmonic Series | Illustrated Theory of Music #8
Keep up to date with the Illustrated Theory of Music. Subscribe to our YouTube channel today by clicking the red 'subscribe' button. It is free for you and it would mean a lot to us! https://www.youtube.com/channel/UCrHICovzXa3ePnfRqUV5wkQ
Welcome to the Orchestra of the Age of Enlightenment's, 'Illustrated Theory of Music'. This series of short, informal videos animate the stories behind music theory and provoke new questions about what we think we know. What does a 'quaver' really mean? Why do we use bars? Why does it have to be so slow? The series is led by the OAE’s dedicated musicians but audiences are invited to ask questions, challenge conventional wisdom and help to build a new understanding of music. Please share your thoughts in the comment box below!
Covid-19 has meant that al...
published: 17 Nov 2020
-
Intro To The Harmonic Series - TWO MINUTE MUSIC THEORY #31
Music is made by sound waves. The objects that make those waves make complex waves. Which create what we call Harmonics. Today we look at some Music Physics and get an intro to the Harmonic Series.
Bernstein Lecture at Harvard: https://www.youtube.com/watch?v=8fHi36dvTdE
Exclusive and Curated content in Music Theory, Composition, and Musicology are yours for free in my email newsletter: https://www.jessestrickland.com/email-newsletter-landing
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COURSES AND RESOURCES
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►► Understanding Music Theory: Overcoming t...
published: 18 Jan 2018
-
Why composers must learn the overtone series
The overtone series is one of the most important concepts to learn for composition, orchestration and arrangement. A composer that understands the harmonic series can do almost anything with an ensemble or orchestra...
Alex Vaughan - https://www.alex-vaughan.com
Frequency to Pitch: https://www.alex-vaughan.com/frequency_to_pitch.html
Ravel 'Bolero' - West–Eastern Divan Orchestra - Daniel Barenboim: https://www.youtube.com/watch?v=s_pSJOkmYBA&ab_channel=BBC
The content on this channel is for educational and promotional purposes only. We have the deepest respect for hard working artists and only wish to point others towards their work. If you believe that there has been a copyright infringement, please contact us here: [email protected]
#composition #arrangement #musictheory #o...
published: 17 Jul 2023
-
Harmonic series of C BUT it's in the description
Harmonic series of C but it's only the first 20 harmonics of C and each harmonic is repeated as many times as its position in the series, creating a "harmonically perfect" polyrhythmic mess
published: 07 Jul 2020
-
What does the harmonic series sound like?
What does the harmonic series sound like? Hear it through this simple interactive diagram. Try it: https://alexanderchen.github.io/harmonics/?howmany=16 (You can also change how many in the URL)
published: 29 Aug 2016
-
Harmonic Series - Explained
Excellent explanation of the harmonic series
published: 10 Dec 2016
-
Harmonic series as a giant piano arpeggio
Twenty up-and-down arpeggios, each adding an additional note from the harmonic series.
You might notice the notes aren't all "in tune" with a normal piano. The numbers after each note represent the pitch change in cents, e.g. F# -49 is about halfway between F and F#. (Read up on different temperament/tuning systems to get an idea of why this matters...I'm too lazy to explain it)
Musically this isn't a very meaningful experiment, but I thought I'd do it anyway!
published: 17 Oct 2022
-
The harmonic series in music | Assaff Weisman | TEDxNYIT
This talk refers to a Bobby Mcferrin demonstration called "Watch me play the audience"(http://www.ted.com/talks/bobby_mcferr...), and explores the universality of music by examining the naturally--occurring phenomenon of the harmonic series. It makes use of a demonstration of the principles of the harmonic series, presented by Leonard Bernstein as part of his Norton Lectures at Harvard University in 1973.
Pianist Assaff Weisman’s solo and chamber music performances have taken him to some of the major venues in Europe, the Middle East, and the Americas; from Lincoln Center and Carnegie Hall in New York, to the Beethovenhalle in Bonn, and Rudolfinum in Prague. He is frequently heard on radio stations across the United States, in music ranging from Bach to the present day. His 2002 release o...
published: 11 Nov 2014
-
The Math Behind Music and Sound Synthesis
We hear sound because our ears can detect vibrations in the air, which come from sources like everyday objects, speakers and other people talking. Why do certain musical intervals sound the way they do? How are electronic music instruments made? This video will be all about sound frequencies, wave shapes and the math behind it all.
Timestamps
00:00 Intro
00:37 Pitch vs Frequency
01:27 Chromatic Scale, Consonance & Dissonance
05:18 Harmonic Series, Tonality & Instrument Timbre
07:37 Wave Shapes & Sound Design
Music by Karl Casey @ White Bat Audio
https://www.youtube.com/channel/UC_6hQy4elsyHhCOskZo0U5g
Thanks for watching, Inspecto
published: 13 Mar 2021
-
The Overtone Series - The Foundation of Music Theory
Hi everyone! Here is ep. 2 of the music fundamentals series. This is a very, very brief overview of the overtone series and why it matters!
Time Stamps:
00:00 Intro
00:45 Part One: Pythagoras
02:36 Part Two: Examples
05:57 Part Three: Functionality
Watch the rest of the fundamentals series:
https://youtube.com/playlist?list=PLCP4tarJe44vVD5zMafMkkiTvG4EOTIzU
Read the scripts here:
https://musictheoriesdotblog.wordpress.com/
Follow my socials (:
https://www.instagram.com/musictheories_/
https://www.tiktok.com/@musictheories_
Sources:
https://www.jstor.org/stable/24045969
https://www.unyp.cz/news/music-and-mathematics-pythagorean-perspective
https://www.loc.gov/resource/rbc0001.2018rosen0228/?st=gallery
https://www.jstor.org/stable/427754?read-now=1&refreqid=excelsior%3Ae9196949623a0...
published: 13 Feb 2022
-
How I wish HARMONY was explained to me as a student
➡ Elements of Music BOOK: https://www.nahresol.com/elementsofmusic
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Main Keyboard: https://amzn.to/2Qwy2A6
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Microphone: https://amzn.to/3tPHs8i
(Affiliate links that contribute to my channel)
Check out my playlists to better navigate videos on my channel, and thank you for subscribing :)
As always, thank you so much for watching, an...
published: 18 Feb 2023
-
9. The Overtone Series and Timbre
If you like this Tutorial on Acoustics, please subscribe: https://www.youtube.com/c/WalkThatBass
For more information check out my website: https://www.thejazzpianosite.com/how-music-works/
When you pluck the A string on a guitar, it vibrates back and forth 110 times per second (or at 110 Hz). The vibration is then passed on to the hollow body of the guitar which vibrates at the same rate as the string, and amplifies the sound. But when you pluck the string, it doesn’t just vibrate back and forth at that one frequency. Actually, it vibrates at many different frequencies all at the same time, the lowest of which is 110 Hz – this is called the fundamental frequency.
But because the string is fixed at both ends, it can only vibrate in multiples of the fundamental frequency:
- The whole len...
published: 10 May 2017
-
Overtone series demonstration video
A description of the overtones that exist when playing a single note on a piano
published: 11 Oct 2015
15:07
The most mind-blowing concept in music (Harmonic Series)
Order my book Make Your Own Rules! https://andrewhuang.com/book
The literal foundation of almost all music! FYI a good one to watch all the way through / not s...
Order my book Make Your Own Rules! https://andrewhuang.com/book
The literal foundation of almost all music! FYI a good one to watch all the way through / not skip around because everything builds on what came before. Leave a comment if you have any questions - also some resources linked further down here. :)
→ Subscribe http://bit.ly/subAndrewHuang
→ Sign up for my online music production class: http://learnmonthly.com/andrew
→ Learn more about production & music theory with this playlist: http://bit.ly/AHMusicandProduction
Support my work on Patreon and be the first to get all my new music: http://patreon.com/andrewhuang
Merch!
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★ LISTEN TO MY MUSIC ★
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Google Play http://bit.ly/2qlhAjy
Bandcamp http://bit.ly/2oRWCby
★ FOLLOW ME HERE ★
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Facebook http://facebook.com/andrewismusic
★ GEAR ★
Disclosure: Most of these are affiliate links - if you buy anything through them (even if it's not the linked item) I'll receive a small percentage, which helps support my channel.
Keyboard https://bit.ly/2MH4xbN
Modular https://www.pntrac.com/t/TUJGR0tHS0JHSUZFSE1CR0hMRUZL
Headphones - lots of hype https://amzn.to/2JmTmDK
Headphones - super pro omg https://amzn.to/2VOcmjz
Small audio interface https://amzn.to/2H7x4mx
Big audio interface https://bit.ly/33r0SER
Analog preamp/comp https://bit.ly/2RvrYIe
OP-1 https://bit.ly/3zeypjP
How I learned synthesis https://bit.ly/2PROCoT
Mic 1 https://bit.ly/3uqMrwH
Mic 2 https://bit.ly/3eWuBv1
Vlog mic http://amzn.to/2lpjHEq
Main camera http://amzn.to/2aHkv35
I use Distrokid to get my music on streaming platforms - get 7% off your first year here: http://distrokid.com/vip/huang
★ RESOURCES ★
Interactive diagram
https://alexanderchen.github.io/harmonics/
"What is a Fourier Series?" by SmarterEveryDay
https://www.youtube.com/watch?v=ds0cmAV-Yek
Most of my other diagrams are straight from the harmonic series Wikipedia page - also a good spot to brush up on these concepts but definitely very technical!
https://en.wikipedia.org/wiki/Harmonic_series_(music)
★ SPECIAL THANKS TO ALL MY TOP PATRONS ★
Adrian Durand
arin hanson
Brian Estlin
Corey Frang
cubedparadox
Curtis Chambers
David Kincaid
F L R COUCH
Gnare
Jack Morris
José Miguel
Julie Bandin
kris flores
Kristopher Charles
Luke Gilliam
Mark Yardley
Nick Simmons
Peter Vermeychuk
rd1994
Robert de Forest
robert jornayvaz
Samuel Costa
Shannon manning
Silas Reaper
Timothy McLane
Tobias Gurdan
TobiCaboose
Vach Man
--
If you're new here, my name is Andrew Huang and I'm a musician who works with many genres and many instruments - and I've also made music with many things that aren't instruments like balloons, pants, water, and dentist equipment. For more info visit my website: http://andrewhuang.com
You can also stream and download my 40+ albums and EPs at http://andrewhuang.bandcamp.com or check out my other videos at http://youtube.com/andrewhuang
Thanks for watching today and a big hug to you if you share this video with someone!
https://wn.com/The_Most_Mind_Blowing_Concept_In_Music_(Harmonic_Series)
Order my book Make Your Own Rules! https://andrewhuang.com/book
The literal foundation of almost all music! FYI a good one to watch all the way through / not skip around because everything builds on what came before. Leave a comment if you have any questions - also some resources linked further down here. :)
→ Subscribe http://bit.ly/subAndrewHuang
→ Sign up for my online music production class: http://learnmonthly.com/andrew
→ Learn more about production & music theory with this playlist: http://bit.ly/AHMusicandProduction
Support my work on Patreon and be the first to get all my new music: http://patreon.com/andrewhuang
Merch!
https://teespring.com/stores/andrewismusic
★ LISTEN TO MY MUSIC ★
Spotify http://spoti.fi/2pF0qRB
iTunes http://apple.co/2psaUmL
Google Play http://bit.ly/2qlhAjy
Bandcamp http://bit.ly/2oRWCby
★ FOLLOW ME HERE ★
Instagram http://instagram.com/andrewismusic
Twitter http://twitter.com/andrewhuang
Facebook http://facebook.com/andrewismusic
★ GEAR ★
Disclosure: Most of these are affiliate links - if you buy anything through them (even if it's not the linked item) I'll receive a small percentage, which helps support my channel.
Keyboard https://bit.ly/2MH4xbN
Modular https://www.pntrac.com/t/TUJGR0tHS0JHSUZFSE1CR0hMRUZL
Headphones - lots of hype https://amzn.to/2JmTmDK
Headphones - super pro omg https://amzn.to/2VOcmjz
Small audio interface https://amzn.to/2H7x4mx
Big audio interface https://bit.ly/33r0SER
Analog preamp/comp https://bit.ly/2RvrYIe
OP-1 https://bit.ly/3zeypjP
How I learned synthesis https://bit.ly/2PROCoT
Mic 1 https://bit.ly/3uqMrwH
Mic 2 https://bit.ly/3eWuBv1
Vlog mic http://amzn.to/2lpjHEq
Main camera http://amzn.to/2aHkv35
I use Distrokid to get my music on streaming platforms - get 7% off your first year here: http://distrokid.com/vip/huang
★ RESOURCES ★
Interactive diagram
https://alexanderchen.github.io/harmonics/
"What is a Fourier Series?" by SmarterEveryDay
https://www.youtube.com/watch?v=ds0cmAV-Yek
Most of my other diagrams are straight from the harmonic series Wikipedia page - also a good spot to brush up on these concepts but definitely very technical!
https://en.wikipedia.org/wiki/Harmonic_series_(music)
★ SPECIAL THANKS TO ALL MY TOP PATRONS ★
Adrian Durand
arin hanson
Brian Estlin
Corey Frang
cubedparadox
Curtis Chambers
David Kincaid
F L R COUCH
Gnare
Jack Morris
José Miguel
Julie Bandin
kris flores
Kristopher Charles
Luke Gilliam
Mark Yardley
Nick Simmons
Peter Vermeychuk
rd1994
Robert de Forest
robert jornayvaz
Samuel Costa
Shannon manning
Silas Reaper
Timothy McLane
Tobias Gurdan
TobiCaboose
Vach Man
--
If you're new here, my name is Andrew Huang and I'm a musician who works with many genres and many instruments - and I've also made music with many things that aren't instruments like balloons, pants, water, and dentist equipment. For more info visit my website: http://andrewhuang.com
You can also stream and download my 40+ albums and EPs at http://andrewhuang.bandcamp.com or check out my other videos at http://youtube.com/andrewhuang
Thanks for watching today and a big hug to you if you share this video with someone!
- published: 07 May 2020
- views: 1195100
12:34
The Harmonic Series | Illustrated Theory of Music #8
Keep up to date with the Illustrated Theory of Music. Subscribe to our YouTube channel today by clicking the red 'subscribe' button. It is free for you and it w...
Keep up to date with the Illustrated Theory of Music. Subscribe to our YouTube channel today by clicking the red 'subscribe' button. It is free for you and it would mean a lot to us! https://www.youtube.com/channel/UCrHICovzXa3ePnfRqUV5wkQ
Welcome to the Orchestra of the Age of Enlightenment's, 'Illustrated Theory of Music'. This series of short, informal videos animate the stories behind music theory and provoke new questions about what we think we know. What does a 'quaver' really mean? Why do we use bars? Why does it have to be so slow? The series is led by the OAE’s dedicated musicians but audiences are invited to ask questions, challenge conventional wisdom and help to build a new understanding of music. Please share your thoughts in the comment box below!
Covid-19 has meant that all our live concerts have been cancelled. This is a devastating loss of income.
Please consider making a donation to
support the OAE through this crisis:
https://oae.co.uk/donate
Website: http://oae.co.uk
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We are grateful for the support of our OAE Corporate Partners:
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https://wn.com/The_Harmonic_Series_|_Illustrated_Theory_Of_Music_8
Keep up to date with the Illustrated Theory of Music. Subscribe to our YouTube channel today by clicking the red 'subscribe' button. It is free for you and it would mean a lot to us! https://www.youtube.com/channel/UCrHICovzXa3ePnfRqUV5wkQ
Welcome to the Orchestra of the Age of Enlightenment's, 'Illustrated Theory of Music'. This series of short, informal videos animate the stories behind music theory and provoke new questions about what we think we know. What does a 'quaver' really mean? Why do we use bars? Why does it have to be so slow? The series is led by the OAE’s dedicated musicians but audiences are invited to ask questions, challenge conventional wisdom and help to build a new understanding of music. Please share your thoughts in the comment box below!
Covid-19 has meant that all our live concerts have been cancelled. This is a devastating loss of income.
Please consider making a donation to
support the OAE through this crisis:
https://oae.co.uk/donate
Website: http://oae.co.uk
Facebook: https://www.facebook.com/orchestraoftheageofenlightenment
Twitter: https://twitter.com/theoae
Instagram: https://www.instagram.com/oae_photos/
We are grateful for the support of our OAE Corporate Partners:
Gramophone: https://www.gramophone.co.uk/
Swan Turton: https://swanturton.com/
Champagne Deutz: https://www.champagne-deutz.com/en/
- published: 17 Nov 2020
- views: 56176
3:44
Intro To The Harmonic Series - TWO MINUTE MUSIC THEORY #31
Music is made by sound waves. The objects that make those waves make complex waves. Which create what we call Harmonics. Today we look at some Music Physics and...
Music is made by sound waves. The objects that make those waves make complex waves. Which create what we call Harmonics. Today we look at some Music Physics and get an intro to the Harmonic Series.
Bernstein Lecture at Harvard: https://www.youtube.com/watch?v=8fHi36dvTdE
Exclusive and Curated content in Music Theory, Composition, and Musicology are yours for free in my email newsletter: https://www.jessestrickland.com/email-newsletter-landing
MUSIC COMMUNITY
_____________________
Join a community of people who want to get better at composition, music theory, and musicology; and get access to my music courses, resources, and exclusive content. https://www.jessestrickland.com/membership-signup
COURSES AND RESOURCES
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►► Understanding Music Theory: Overcoming the Mental Blocks to Music Theory Fluency - https://www.jessestrickland.com/understanding-music-theory
►► Start Write Now: Write Your First Composition In 30 Days: https://www.jessestrickland.com/start-write-now
►► DIGITAL MUSIC RESOURCES: https://www.jessestrickland.com/resources
Support the creation of new music resources (and my coffee habit): https://www.buymeacoffee.com/jessestrickland
Check out my composition focused youtube channel: https://www.youtube.com/@JesseStrickland
► Gear I Use/Music Recommendations: www.jessestrickland.com/blog-exclusives/2024/4/1/a-list-of-music-recommendations-and-gear-i-use
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Hey, I'm Jesse, a composer and music theorist. I believe that Music Theory is a practical and valuable artform for all musicians throughout their lifetime. On this channel, I am making videos to help all musicians grow in their understanding of music theory and how it can make them a better musician.
https://wn.com/Intro_To_The_Harmonic_Series_Two_Minute_Music_Theory_31
Music is made by sound waves. The objects that make those waves make complex waves. Which create what we call Harmonics. Today we look at some Music Physics and get an intro to the Harmonic Series.
Bernstein Lecture at Harvard: https://www.youtube.com/watch?v=8fHi36dvTdE
Exclusive and Curated content in Music Theory, Composition, and Musicology are yours for free in my email newsletter: https://www.jessestrickland.com/email-newsletter-landing
MUSIC COMMUNITY
_____________________
Join a community of people who want to get better at composition, music theory, and musicology; and get access to my music courses, resources, and exclusive content. https://www.jessestrickland.com/membership-signup
COURSES AND RESOURCES
____________________________
►► Understanding Music Theory: Overcoming the Mental Blocks to Music Theory Fluency - https://www.jessestrickland.com/understanding-music-theory
►► Start Write Now: Write Your First Composition In 30 Days: https://www.jessestrickland.com/start-write-now
►► DIGITAL MUSIC RESOURCES: https://www.jessestrickland.com/resources
Support the creation of new music resources (and my coffee habit): https://www.buymeacoffee.com/jessestrickland
Check out my composition focused youtube channel: https://www.youtube.com/@JesseStrickland
► Gear I Use/Music Recommendations: www.jessestrickland.com/blog-exclusives/2024/4/1/a-list-of-music-recommendations-and-gear-i-use
CONNECT WITH ME
________________________________
Website: www.jessestrickland.com
Instagram: instagram.com/jessestricklandmusic
Newsletter sign up: https://www.jessestrickland.com/email-newsletter-landing
Music Latest: www.jessestrickland.com/music
Hey, I'm Jesse, a composer and music theorist. I believe that Music Theory is a practical and valuable artform for all musicians throughout their lifetime. On this channel, I am making videos to help all musicians grow in their understanding of music theory and how it can make them a better musician.
- published: 18 Jan 2018
- views: 184182
6:46
Why composers must learn the overtone series
The overtone series is one of the most important concepts to learn for composition, orchestration and arrangement. A composer that understands the harmonic seri...
The overtone series is one of the most important concepts to learn for composition, orchestration and arrangement. A composer that understands the harmonic series can do almost anything with an ensemble or orchestra...
Alex Vaughan - https://www.alex-vaughan.com
Frequency to Pitch: https://www.alex-vaughan.com/frequency_to_pitch.html
Ravel 'Bolero' - West–Eastern Divan Orchestra - Daniel Barenboim: https://www.youtube.com/watch?v=s_pSJOkmYBA&ab_channel=BBC
The content on this channel is for educational and promotional purposes only. We have the deepest respect for hard working artists and only wish to point others towards their work. If you believe that there has been a copyright infringement, please contact us here:
[email protected]
#composition #arrangement #musictheory #orchestration #overtone
https://wn.com/Why_Composers_Must_Learn_The_Overtone_Series
The overtone series is one of the most important concepts to learn for composition, orchestration and arrangement. A composer that understands the harmonic series can do almost anything with an ensemble or orchestra...
Alex Vaughan - https://www.alex-vaughan.com
Frequency to Pitch: https://www.alex-vaughan.com/frequency_to_pitch.html
Ravel 'Bolero' - West–Eastern Divan Orchestra - Daniel Barenboim: https://www.youtube.com/watch?v=s_pSJOkmYBA&ab_channel=BBC
The content on this channel is for educational and promotional purposes only. We have the deepest respect for hard working artists and only wish to point others towards their work. If you believe that there has been a copyright infringement, please contact us here:
[email protected]
#composition #arrangement #musictheory #orchestration #overtone
- published: 17 Jul 2023
- views: 58696
1:34
Harmonic series of C BUT it's in the description
Harmonic series of C but it's only the first 20 harmonics of C and each harmonic is repeated as many times as its position in the series, creating a "harmonical...
Harmonic series of C but it's only the first 20 harmonics of C and each harmonic is repeated as many times as its position in the series, creating a "harmonically perfect" polyrhythmic mess
https://wn.com/Harmonic_Series_Of_C_But_It's_In_The_Description
Harmonic series of C but it's only the first 20 harmonics of C and each harmonic is repeated as many times as its position in the series, creating a "harmonically perfect" polyrhythmic mess
- published: 07 Jul 2020
- views: 279314
0:15
What does the harmonic series sound like?
What does the harmonic series sound like? Hear it through this simple interactive diagram. Try it: https://alexanderchen.github.io/harmonics/?howmany=16 (You ca...
What does the harmonic series sound like? Hear it through this simple interactive diagram. Try it: https://alexanderchen.github.io/harmonics/?howmany=16 (You can also change how many in the URL)
https://wn.com/What_Does_The_Harmonic_Series_Sound_Like
What does the harmonic series sound like? Hear it through this simple interactive diagram. Try it: https://alexanderchen.github.io/harmonics/?howmany=16 (You can also change how many in the URL)
- published: 29 Aug 2016
- views: 149773
8:48
Harmonic Series - Explained
Excellent explanation of the harmonic series
Excellent explanation of the harmonic series
https://wn.com/Harmonic_Series_Explained
Excellent explanation of the harmonic series
- published: 10 Dec 2016
- views: 86487
0:43
Harmonic series as a giant piano arpeggio
Twenty up-and-down arpeggios, each adding an additional note from the harmonic series.
You might notice the notes aren't all "in tune" with a normal piano. The...
Twenty up-and-down arpeggios, each adding an additional note from the harmonic series.
You might notice the notes aren't all "in tune" with a normal piano. The numbers after each note represent the pitch change in cents, e.g. F# -49 is about halfway between F and F#. (Read up on different temperament/tuning systems to get an idea of why this matters...I'm too lazy to explain it)
Musically this isn't a very meaningful experiment, but I thought I'd do it anyway!
https://wn.com/Harmonic_Series_As_A_Giant_Piano_Arpeggio
Twenty up-and-down arpeggios, each adding an additional note from the harmonic series.
You might notice the notes aren't all "in tune" with a normal piano. The numbers after each note represent the pitch change in cents, e.g. F# -49 is about halfway between F and F#. (Read up on different temperament/tuning systems to get an idea of why this matters...I'm too lazy to explain it)
Musically this isn't a very meaningful experiment, but I thought I'd do it anyway!
- published: 17 Oct 2022
- views: 73182
11:21
The harmonic series in music | Assaff Weisman | TEDxNYIT
This talk refers to a Bobby Mcferrin demonstration called "Watch me play the audience"(http://www.ted.com/talks/bobby_mcferr...), and explores the universality ...
This talk refers to a Bobby Mcferrin demonstration called "Watch me play the audience"(http://www.ted.com/talks/bobby_mcferr...), and explores the universality of music by examining the naturally--occurring phenomenon of the harmonic series. It makes use of a demonstration of the principles of the harmonic series, presented by Leonard Bernstein as part of his Norton Lectures at Harvard University in 1973.
Pianist Assaff Weisman’s solo and chamber music performances have taken him to some of the major venues in Europe, the Middle East, and the Americas; from Lincoln Center and Carnegie Hall in New York, to the Beethovenhalle in Bonn, and Rudolfinum in Prague. He is frequently heard on radio stations across the United States, in music ranging from Bach to the present day. His 2002 release of an all-Schubert recording for Yamaha’s “NYC Rising Star” series quickly became one of its best sellers. An avid chamber musician, Mr. Weisman has collaborated with Isidore Cohen, Michael Tree, Samuel Rhodes, and Peter Wiley, among others, and has taken part in the Aspen Music Festival, Campos do Jordão (Brazil), Lima Chamber Music Festival (Peru), The Music Festival of the Hamptons, and Verbier (Switzerland). He is a founding member, and the Executive Director of the award-winning Israeli Chamber Project, with which he has toured and recorded since 2008. Mr. Weisman is a graduate of The Juilliard School, where he received both his Bachelor’s and Master’s degrees as a student of Herbert Stessin, and where he now is a member of the Evening Division piano faculty. Prior to his studies in New York, Mr. Weisman worked with Professor Victor Derevianko in Israel, where he was a winner of the America-Israel Cultural Foundation Scholarships. Mr. Weisman is a Yamaha Artist.
www.assaffweisman.com
This talk was given at a TEDx event using the TED conference format but independently organized by a local community. Learn more at http://ted.com/tedx
https://wn.com/The_Harmonic_Series_In_Music_|_Assaff_Weisman_|_Tedxnyit
This talk refers to a Bobby Mcferrin demonstration called "Watch me play the audience"(http://www.ted.com/talks/bobby_mcferr...), and explores the universality of music by examining the naturally--occurring phenomenon of the harmonic series. It makes use of a demonstration of the principles of the harmonic series, presented by Leonard Bernstein as part of his Norton Lectures at Harvard University in 1973.
Pianist Assaff Weisman’s solo and chamber music performances have taken him to some of the major venues in Europe, the Middle East, and the Americas; from Lincoln Center and Carnegie Hall in New York, to the Beethovenhalle in Bonn, and Rudolfinum in Prague. He is frequently heard on radio stations across the United States, in music ranging from Bach to the present day. His 2002 release of an all-Schubert recording for Yamaha’s “NYC Rising Star” series quickly became one of its best sellers. An avid chamber musician, Mr. Weisman has collaborated with Isidore Cohen, Michael Tree, Samuel Rhodes, and Peter Wiley, among others, and has taken part in the Aspen Music Festival, Campos do Jordão (Brazil), Lima Chamber Music Festival (Peru), The Music Festival of the Hamptons, and Verbier (Switzerland). He is a founding member, and the Executive Director of the award-winning Israeli Chamber Project, with which he has toured and recorded since 2008. Mr. Weisman is a graduate of The Juilliard School, where he received both his Bachelor’s and Master’s degrees as a student of Herbert Stessin, and where he now is a member of the Evening Division piano faculty. Prior to his studies in New York, Mr. Weisman worked with Professor Victor Derevianko in Israel, where he was a winner of the America-Israel Cultural Foundation Scholarships. Mr. Weisman is a Yamaha Artist.
www.assaffweisman.com
This talk was given at a TEDx event using the TED conference format but independently organized by a local community. Learn more at http://ted.com/tedx
- published: 11 Nov 2014
- views: 286889
13:26
The Math Behind Music and Sound Synthesis
We hear sound because our ears can detect vibrations in the air, which come from sources like everyday objects, speakers and other people talking. Why do certai...
We hear sound because our ears can detect vibrations in the air, which come from sources like everyday objects, speakers and other people talking. Why do certain musical intervals sound the way they do? How are electronic music instruments made? This video will be all about sound frequencies, wave shapes and the math behind it all.
Timestamps
00:00 Intro
00:37 Pitch vs Frequency
01:27 Chromatic Scale, Consonance & Dissonance
05:18 Harmonic Series, Tonality & Instrument Timbre
07:37 Wave Shapes & Sound Design
Music by Karl Casey @ White Bat Audio
https://www.youtube.com/channel/UC_6hQy4elsyHhCOskZo0U5g
Thanks for watching, Inspecto
https://wn.com/The_Math_Behind_Music_And_Sound_Synthesis
We hear sound because our ears can detect vibrations in the air, which come from sources like everyday objects, speakers and other people talking. Why do certain musical intervals sound the way they do? How are electronic music instruments made? This video will be all about sound frequencies, wave shapes and the math behind it all.
Timestamps
00:00 Intro
00:37 Pitch vs Frequency
01:27 Chromatic Scale, Consonance & Dissonance
05:18 Harmonic Series, Tonality & Instrument Timbre
07:37 Wave Shapes & Sound Design
Music by Karl Casey @ White Bat Audio
https://www.youtube.com/channel/UC_6hQy4elsyHhCOskZo0U5g
Thanks for watching, Inspecto
- published: 13 Mar 2021
- views: 563246
8:51
The Overtone Series - The Foundation of Music Theory
Hi everyone! Here is ep. 2 of the music fundamentals series. This is a very, very brief overview of the overtone series and why it matters!
Time Stamps:
00:00...
Hi everyone! Here is ep. 2 of the music fundamentals series. This is a very, very brief overview of the overtone series and why it matters!
Time Stamps:
00:00 Intro
00:45 Part One: Pythagoras
02:36 Part Two: Examples
05:57 Part Three: Functionality
Watch the rest of the fundamentals series:
https://youtube.com/playlist?list=PLCP4tarJe44vVD5zMafMkkiTvG4EOTIzU
Read the scripts here:
https://musictheoriesdotblog.wordpress.com/
Follow my socials (:
https://www.instagram.com/musictheories_/
https://www.tiktok.com/@musictheories_
Sources:
https://www.jstor.org/stable/24045969
https://www.unyp.cz/news/music-and-mathematics-pythagorean-perspective
https://www.loc.gov/resource/rbc0001.2018rosen0228/?st=gallery
https://www.jstor.org/stable/427754?read-now=1&refreqid=excelsior%3Ae9196949623a090c3ca75815a9fe8317&seq=6#page_scan_tab_contents
https://answersdrive.com/what-did-pythagoras-discover-about-music-16759431
https://musicstudent101.com/46-the-overtone-series.html
Leonard Berstein: https://www.youtube.com/watch?v=3TlQryUBz3Ef
Motion of plucked string: https://www.youtube.com/watch?v=_X72on6CSL0
Modes on a String: https://www.youtube.com/watch?v=cnH2ltfW48U
Standing Waves and Harmonics: https://www.youtube.com/watch?v=0Rfushlee0U
The Physics of Music: https://www.youtube.com/watch?v=XDsk6tZX55g
Guitar Strings Oscillating: https://www.youtube.com/watch?v=8YGQmV3NxMI
Bowed violin string in slow motion: https://www.youtube.com/watch?v=6JeyiM0YNo4
https://wn.com/The_Overtone_Series_The_Foundation_Of_Music_Theory
Hi everyone! Here is ep. 2 of the music fundamentals series. This is a very, very brief overview of the overtone series and why it matters!
Time Stamps:
00:00 Intro
00:45 Part One: Pythagoras
02:36 Part Two: Examples
05:57 Part Three: Functionality
Watch the rest of the fundamentals series:
https://youtube.com/playlist?list=PLCP4tarJe44vVD5zMafMkkiTvG4EOTIzU
Read the scripts here:
https://musictheoriesdotblog.wordpress.com/
Follow my socials (:
https://www.instagram.com/musictheories_/
https://www.tiktok.com/@musictheories_
Sources:
https://www.jstor.org/stable/24045969
https://www.unyp.cz/news/music-and-mathematics-pythagorean-perspective
https://www.loc.gov/resource/rbc0001.2018rosen0228/?st=gallery
https://www.jstor.org/stable/427754?read-now=1&refreqid=excelsior%3Ae9196949623a090c3ca75815a9fe8317&seq=6#page_scan_tab_contents
https://answersdrive.com/what-did-pythagoras-discover-about-music-16759431
https://musicstudent101.com/46-the-overtone-series.html
Leonard Berstein: https://www.youtube.com/watch?v=3TlQryUBz3Ef
Motion of plucked string: https://www.youtube.com/watch?v=_X72on6CSL0
Modes on a String: https://www.youtube.com/watch?v=cnH2ltfW48U
Standing Waves and Harmonics: https://www.youtube.com/watch?v=0Rfushlee0U
The Physics of Music: https://www.youtube.com/watch?v=XDsk6tZX55g
Guitar Strings Oscillating: https://www.youtube.com/watch?v=8YGQmV3NxMI
Bowed violin string in slow motion: https://www.youtube.com/watch?v=6JeyiM0YNo4
- published: 13 Feb 2022
- views: 19161
8:33
How I wish HARMONY was explained to me as a student
➡ Elements of Music BOOK: https://www.nahresol.com/elementsofmusic
➡ Thank you for supporting me on Patreon!
https://www.patreon.com/nahresol
➡ Sheet music for...
➡ Elements of Music BOOK: https://www.nahresol.com/elementsofmusic
➡ Thank you for supporting me on Patreon!
https://www.patreon.com/nahresol
➡ Sheet music for music from my videos: https://bit.ly/3Bvjh2R
➡ My Piano Intensive Video Course: https://bit.ly/2MtUsNR
Instagram @nahresol
Twitter @nahresol
Facebook @practicenotes
If you’d like to send mail to my P.O. Box:
3410 La Sierra Ave STE F1123
Riverside, CA 92503
Main Keyboard: https://amzn.to/2Qwy2A6
Camera: https://amzn.to/3v9FeRs
Lens: https://amzn.to/3dIYpf3
Recording Interface: https://amzn.to/2S1iRj1
Microphone: https://amzn.to/3tPHs8i
(Affiliate links that contribute to my channel)
Check out my playlists to better navigate videos on my channel, and thank you for subscribing :)
As always, thank you so much for watching, and thank you to all of you that leave comments.
https://wn.com/How_I_Wish_Harmony_Was_Explained_To_Me_As_A_Student
➡ Elements of Music BOOK: https://www.nahresol.com/elementsofmusic
➡ Thank you for supporting me on Patreon!
https://www.patreon.com/nahresol
➡ Sheet music for music from my videos: https://bit.ly/3Bvjh2R
➡ My Piano Intensive Video Course: https://bit.ly/2MtUsNR
Instagram @nahresol
Twitter @nahresol
Facebook @practicenotes
If you’d like to send mail to my P.O. Box:
3410 La Sierra Ave STE F1123
Riverside, CA 92503
Main Keyboard: https://amzn.to/2Qwy2A6
Camera: https://amzn.to/3v9FeRs
Lens: https://amzn.to/3dIYpf3
Recording Interface: https://amzn.to/2S1iRj1
Microphone: https://amzn.to/3tPHs8i
(Affiliate links that contribute to my channel)
Check out my playlists to better navigate videos on my channel, and thank you for subscribing :)
As always, thank you so much for watching, and thank you to all of you that leave comments.
- published: 18 Feb 2023
- views: 1737606
10:50
9. The Overtone Series and Timbre
If you like this Tutorial on Acoustics, please subscribe: https://www.youtube.com/c/WalkThatBass
For more information check out my website: https://www.thejazz...
If you like this Tutorial on Acoustics, please subscribe: https://www.youtube.com/c/WalkThatBass
For more information check out my website: https://www.thejazzpianosite.com/how-music-works/
When you pluck the A string on a guitar, it vibrates back and forth 110 times per second (or at 110 Hz). The vibration is then passed on to the hollow body of the guitar which vibrates at the same rate as the string, and amplifies the sound. But when you pluck the string, it doesn’t just vibrate back and forth at that one frequency. Actually, it vibrates at many different frequencies all at the same time, the lowest of which is 110 Hz – this is called the fundamental frequency.
But because the string is fixed at both ends, it can only vibrate in multiples of the fundamental frequency:
- The whole length of the string vibrates at the fundamental frequency of 110 Hz (this is AKA the 1st harmonic)
- The string can vibrate in halves = second harmonic (or the first overtone) at 220 Hz
- The string can also vibrate in thirds = third harmonic (or the second overtone) at 330 Hz
- The string can vibrate in quarters = fourth harmonic (or the third overtone) at 440 Hz
- And so on…
This is called the Overtone Series or the Harmonic Series – and it’s the basis of how we structure music, as we discover over the next few videos.
Some of the animations in this video were sourced from the below websites. A big thank you to them.
Title: Vibration_corde_trois_modes_petit.gif
Author: Christophe Dang Ngoc Chan
Link: https://commons.wikimedia.org/wiki/File:Vibration_corde_trois_modes_petit.gif
License: Creative Commons Attribution-Share Alike 3.0 Unported
Title: Vibration_corde_trois_harmoniques_combinees_petit.gif
Author: Christophe Dang Ngoc Chan
Link: https://commons.wikimedia.org/wiki/File:Vibration_corde_trois_harmoniques_combinees_petit.gif
License: Creative Commons Attribution-Share Alike 3.0 Unported
Title: Bowed violin string in slow motion.gif
Author: ViolinB0W
Link: https://commons.wikimedia.org/wiki/File:Bowed_violin_string_in_slow_motion.gif
License: Creative Commons Attribution 3.0 Unported
https://wn.com/9._The_Overtone_Series_And_Timbre
If you like this Tutorial on Acoustics, please subscribe: https://www.youtube.com/c/WalkThatBass
For more information check out my website: https://www.thejazzpianosite.com/how-music-works/
When you pluck the A string on a guitar, it vibrates back and forth 110 times per second (or at 110 Hz). The vibration is then passed on to the hollow body of the guitar which vibrates at the same rate as the string, and amplifies the sound. But when you pluck the string, it doesn’t just vibrate back and forth at that one frequency. Actually, it vibrates at many different frequencies all at the same time, the lowest of which is 110 Hz – this is called the fundamental frequency.
But because the string is fixed at both ends, it can only vibrate in multiples of the fundamental frequency:
- The whole length of the string vibrates at the fundamental frequency of 110 Hz (this is AKA the 1st harmonic)
- The string can vibrate in halves = second harmonic (or the first overtone) at 220 Hz
- The string can also vibrate in thirds = third harmonic (or the second overtone) at 330 Hz
- The string can vibrate in quarters = fourth harmonic (or the third overtone) at 440 Hz
- And so on…
This is called the Overtone Series or the Harmonic Series – and it’s the basis of how we structure music, as we discover over the next few videos.
Some of the animations in this video were sourced from the below websites. A big thank you to them.
Title: Vibration_corde_trois_modes_petit.gif
Author: Christophe Dang Ngoc Chan
Link: https://commons.wikimedia.org/wiki/File:Vibration_corde_trois_modes_petit.gif
License: Creative Commons Attribution-Share Alike 3.0 Unported
Title: Vibration_corde_trois_harmoniques_combinees_petit.gif
Author: Christophe Dang Ngoc Chan
Link: https://commons.wikimedia.org/wiki/File:Vibration_corde_trois_harmoniques_combinees_petit.gif
License: Creative Commons Attribution-Share Alike 3.0 Unported
Title: Bowed violin string in slow motion.gif
Author: ViolinB0W
Link: https://commons.wikimedia.org/wiki/File:Bowed_violin_string_in_slow_motion.gif
License: Creative Commons Attribution 3.0 Unported
- published: 10 May 2017
- views: 207647
3:07
Overtone series demonstration video
A description of the overtones that exist when playing a single note on a piano
A description of the overtones that exist when playing a single note on a piano
https://wn.com/Overtone_Series_Demonstration_Video
A description of the overtones that exist when playing a single note on a piano
- published: 11 Oct 2015
- views: 15774