Mathematics of music | Computational complexity theory

The Complexity of Songs

"The Complexity of Songs" is a scholarly article by computer scientist Donald Knuth in 1977, as an in-joke about computational complexity theory. The article capitalizes on the tendency of popular songs to devolve from long and content-rich ballads to highly repetitive texts with little or no meaningful content. The article notes that a song of length N words may be produced remembering, e.g., only O(log N) words ("space complexity" of the song). (Wikipedia).

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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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Musimathics: Rhythm & Meter (Part 4)

Welcome to the Musimathics series! Musimathics gives an overview of some of the most interesting topics in the field of mathematical music theory! You are watching the fourth video in the series. In this video, Chloe goes over calculating note durations using summations, different metric

From playlist Musimathics: Music & Math

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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 Sand - Music Composition

Note: In the final chorus, the lines in brackets are sung at the same time as the main melody, which continues. This is a song/piece of music I've been composing over the last week. It started with a repeating piano melody, which you can hear from the beginning throughout the song, and gr

From playlist Music Compositions

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What is a G Chord?

A review of the notes common to all formations of a G chord.

From playlist Music Lessons

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What makes a happy song? Chances are it has more seventh chords

Pairing guitar chords and lyrics from 90K popular North American songs reveals the key to happiness: seventh chords. Learn more: http://scim.ag/2zIHWBW

From playlist News Features

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Birdsong as a model for learned, complex behavior by Bernardo Gabriel Mindlin

DISCUSSION MEETING NEUROSCIENCE, DATA SCIENCE AND DYNAMICS (ONLINE) ORGANIZERS: Amit Apte (IISER-Pune, India), Neelima Gupte (IIT-Madras, India) and Ramakrishna Ramaswamy (IIT-Delhi, India) DATE : 07 February 2022 to 10 February 2022 VENUE: Online This discussion meeting on Neuroscien

From playlist Neuroscience, Data Science and Dynamics (ONLINE)

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Animal Melodies: 5 of Nature’s Sweetest Singers

Humans are known to carry a tune, but we're hardly the only animals that sing. In fact we've got five of nature's finest singers, and what makes them so unique. Hosted by: Hank Green SciShow has a spinoff podcast! It's called SciShow Tangents. Check it out at http://www.scishowtangents.o

From playlist Biology

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The physics of birdsong by Gabriel Mindlin

Dynamics of Complex Systems - 2017 DATES: 10 May 2017 to 08 July 2017 VENUE: Madhava Lecture Hall, ICTS Bangalore This Summer Program on Dynamics of Complex Systems is second in the series. The theme for the program this year is Mathematical Biology. Over the past decades, the focus o

From playlist Dynamics of Complex Systems - 2017

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Songs About Space - Oliver Lugg

http://oliverlugg.com/ DOWNLOAD: https://oliverlugg.bandcamp.com/track/songs-about-space This is a bit all over the place structurally, but it's by far my strongest work in terms of production. It sounds a bit like the FTL soundtrack mixed with Daft Punk. Maybe. I don't know. Also, sinc

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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NIPS 2011 Music and Machine Learning Workshop: This is the Remix: Structural Improvisation...

International Music and Machine Learning Workshop: Learning from Musical Structure at NIPS 2011 Invited Talk: This is the Remix: Structural Improvisation using Automated Pattern Discovery by Sean Whalen Sean Whalen is a postdoctoral researcher in the IDS lab at Columbia University, f

From playlist NIPS 2011 Music and Machine Learning Workshop

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What does traditional music around the world have in common?

An analysis of thousands of song descriptions ties together music from different cultures Music is ubiquitous—but do societies around the world use similar building blocks to construct their songs? Researchers dove into detailed descriptions and samples of songs to understand what univers

From playlist Research Features

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Whale Songs in the South Pacific

Scientists thought that different groups of humpback whales all sang different songs. But what if whale songs spread like popular music? NOVA on Facebook: https://www.facebook.com/NOVAonline NOVA on Twitter: @novapbs NOVA on Instagram: @novapbs

From playlist Original shorts

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A Data Scientist Breaks Down All 10 Taylor Swift Albums

As a data scientist and Swiftie, I did a deep dive analysis into Taylor Swift's 10 studio albums in preparation for The Eras Tour. I used data visualizations to break down her popularity, sound, lyrics, collaborators and the Midnights album. I also found a few data-backed Easter eggs along

From playlist Data Visualizations

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Mathematica Tutorial 27 - The Data of Music

In this mathematica tutorial you will learn about the conversion of music files to lists of data or numbers so that you can edit the data and turn it back into music, hence the title, the data of music. Some of the skills you will learn include filtering and the application of tools of sig

From playlist Mathematica Tutorials

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RailsConf 2016 - Succession by Katrina Owen

Succession by Katrina Owen Refactoring sometimes devolves into an appalling mess. You're chasing a broken test suite, and every change just makes it worse. An even more insidious antipattern is the slow, perfectly controlled process culminating in dreadful design. This talk presents an e

From playlist RailsConf 2016

Related pages

Big O notation | Communications of the ACM | Logarithm | Recurrence relation | Computational complexity theory | Lemma (mathematics) | Space complexity