Mathematics of music | Mathematics and art

Music and mathematics

Music theory analyzes the pitch, timing, and structure of music. It uses mathematics to study elements of music such as tempo, chord progression, form, and meter. The attempt to structure and communicate new ways of composing and hearing music has led to musical applications of set theory, abstract algebra and number theory. While music theory has no axiomatic foundation in modern mathematics, the basis of musical sound can be described mathematically (using acoustics) and exhibits "a remarkable array of number properties". (Wikipedia).

Music and mathematics
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A Musical Experiment - Music Composition

Those of you familiar with some of my earlier pieces will know that I like to mix seemingly unrelated musical genres together. However, I wanted to see how far I could take this combining of styles, and eventually created this, which contains all the instruments you see in the image playin

From playlist Music Compositions

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Composing music and creating mathematics - Will Troiani

Full title "An opposite is whole only with its contrary; composing music and creating mathematics". Music and mathematics have many similarities, both requiring creativity and exploration to create something original. Musicians should strive for originality and understand how constraints

From playlist Anything At All seminar

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What is mathematics?

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From playlist Science Unplugged: Mathematics

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What is the point?

Putting an opinion on YouTube - what could possibly go wrong! This is a bit more bloggy than I usually like to do. I'll be back next time with some proper mathematics. "What is the point of mathematics?"

From playlist My Maths Videos

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Pythagorean intervals in music and the magic of numbers | Maths and Music | N J Wildberger

Let's introduce the remarkable connection that the ancient Greeks, in the school of Pythagoras, discovered between ratios or proportions between small natural numbers and pleasant sounding harmonic intervals. The relation is perhaps best introduced by discussing notes on a guitar string,

From playlist Maths and Music

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The Sounds of Music - June 25, 1996

Talk for kids and their parents. It's very charming to see and hear very young kids play their instruments. A few of them also sing.

From playlist Talks for Kids

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The maths behind musical scales

This video uses the python library manim to make some mathematical animation to explain some of the math theory behind scales. Music: https://www.bensound.com/royalty-free-music

From playlist Summer of Math Exposition Youtube Videos

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Gauss Prize & Chern Medal / Social Dinner – ICM2018

Gauss Prize & Chern Medal Award Ceremony/ Social Dinner The 2018 Gauss Prize and Chern Medal had their own award ceremony, in the evening of Saturday, August 4, highlighting the achievements of the winners David Donoho (Gauss) and Masaki Kashiwara (Chern). The ceremony was followed by

From playlist Ceremonies ICM 2018

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Bach and the Cosmos

Oxford Mathematics Public Lectures: James Sparks and City of London Sinfonia - Bach and the Cosmos Johann Sebastian Bach was the most mathematical of composers. Oxford Mathematician and Cambridge organ scholar James Sparks will explain just how mathematical and City of London Sinfonia wil

From playlist Music and Mathematics

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Abel Award Ceremony 2019 - Karen Uhlenbeck

The Abel Prize Award Ceremony, May 21, 2019. Place: The University Aula, Oslo, Norway Programme: 0:08 Procession accompanied by the “Abel Fanfare” (Klaus Sandvik). Performed by musicians from The Staff Band of the Norwegian Armed Forces 1:00 His Majesty King Harald V enters the University

From playlist Karen K. Uhlenbeck

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Abel Prize award ceremony 2021

The ceremony honours both the 2020-winners, Hillel Furstenberg and Gregory Margulis, and the 2021-winners, Avi Wigderson and László́ Lovász. 0:30 Haddy N'jie sings Feeling Good 3:18 Welcome by Master of ceremonies, Haddy N'jie 4:46 On the nomination process and the work of the Abel Prize

From playlist Gregory Margulis

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Abel Award Ceremony 2018 - Robert Langlands

0:02 Procession accompanied by the “Abel Fanfare” (Klaus Sandvik). Performed by musicians from The Staff Band of the Norwegian Armed Forces 0:52 His Majesty King Harald enters the University Aula 2:09 Dance of the Drums. Performed by Teodor Berg og Arild Torvik | Music: Gene Koshinski 7:19

From playlist Abel Prize Ceremonies

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Abel Award ceremony 2017 - Yves Meyer

The Abel Prize Award Ceremony, May 23, 2017. Place: The University Aula, Oslo, Norway 0:00 Procession accompanied by the “Abel Fanfare” (Klaus Sandvik) Performed by musicians from The Staff Band of the Norwegian Armed Forces 0:39 His Majesty King Harald enters the University Aula 1:37 Ri

From playlist Abel Prize Ceremonies

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Story telling (in mathematics and music) - Will Troiani

Will explores the relationship between music and mathematics. He suggests that narratives behind the foundations are part of the foundations themselves, and use the example of topology to demonstrate this. Chess is also used to illustrate how learning the basic rules and concepts can lead

From playlist Anything At All seminar

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Closing Ceremony — ICM 2018

ICM 2018 - Rio de Janeiro | http://www.icm2018.org © 2018 Rio ICM2018 & International Mathematical Union     Os direitos sobre todo o material deste canal pertencem ao Instituto de Matemática Pura e Aplicada, sendo vedada a utilização total ou parcial do conteúdo sem autorização prévia e

From playlist Ceremonies ICM 2018

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Using Algebra and Geometry in the Real World

You hear terms like “algebra” and “geometry” and these theories we memorized in high school start to dance a jig in our heads – a jig many of us weren’t overly interested in! But the past decade has seen an explosion of applications of algebra, geometry, and topology to the real world, lik

From playlist What is math used for?

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NUMBERS: "X", Number of Freedom | Five numbers that changed the world | Cool Math

NUMBERS - secrets of Math. Mathematics is shrouded behind a veil and does not easily reveal itself. Students resort to rote memorization of math formulas to solve problems in a boring exercise of the mind that is also repetitive. However, if you knew the history of mathematics, the way the

From playlist Civilization

Related pages

Fundamental frequency | Twelfth root of two | Set theory | Mathematics and art | Quarter tone | Archytas | Perfect fifth | Albert Einstein | Equal temperament | Harmonices Mundi | Hertz | Superparticular ratio | Harmonic seventh | Topology | 19 equal temperament | Diatonic scale | Cent (music) | Grassmannian | 53 equal temperament | Rational number | Tonnetz | Regular number | Golden ratio | Perfect fourth | Frequency | Unison | Free abelian group | Logarithmic scale | Syntonic comma | Cyclic group | Category theory | Number theory | Arab tone system | Ratio | Abstract algebra | Irrational number | Differential geometry | Pythagorean tuning | Philolaus | Abelian group | Pythagoreanism | Transformational theory