Musical set theory

Set theory (music)

Musical set theory provides concepts for categorizing musical objects and describing their relationships. Howard Hanson first elaborated many of the concepts for analyzing tonal music. Other theorists, such as Allen Forte, further developed the theory for analyzing atonal music, drawing on the twelve-tone theory of Milton Babbitt. The concepts of musical set theory are very general and can be applied to tonal and atonal styles in any equal temperament tuning system, and to some extent more generally than that. One branch of musical set theory deals with collections (sets and permutations) of pitches and pitch classes (pitch-class set theory), which may be ordered or unordered, and can be related by musical operations such as transposition, melodic inversion, and complementation. Some theorists apply the methods of musical set theory to the analysis of rhythm as well. (Wikipedia).

Set theory (music)
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Introduction to Set Theory (Discrete Mathematics)

Introduction to Set Theory (Discrete Mathematics) This is a basic introduction to set theory starting from the very beginning. This is typically found near the beginning of a discrete mathematics course in college or at the beginning of other advanced mathematics courses. ***************

From playlist Set Theory

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Set Theory (Part 1): Notation and Operations

Please feel free to leave comments/questions on the video and practice problems below! In this video series, we'll explore the basics of set theory. I assume no experience with set theory in the video series and anyone who's "been around town" in math should understand the videos. To make

From playlist Set Theory by Mathoma

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Introduction to sets || Set theory Overview - Part 2

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty

From playlist Set Theory

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Set Theory 1.1 : Axioms of Set Theory

In this video, I introduce the axioms of set theory and Russel's Paradox. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : http://docdro.id/5ITQHUW

From playlist Set Theory

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Set Theory (Part 2): ZFC Axioms

Please feel free to leave comments/questions on the video and practice problems below! In this video, I introduce some common axioms in set theory using the Zermelo-Fraenkel w/ choice (ZFC) system. Five out of nine ZFC axioms are covered and the remaining four will be introduced in their

From playlist Set Theory by Mathoma

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An Introduction to Sets (Set Theory)

What is a set in math? What are elements? What is cardinality? What are subsets? In this video we will answer all of those questions. We will pinpoint the definition of sets in math, talk about elements, explain what cardinality is, and what a subset is. I hope you find this video helpful,

From playlist Set Theory

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The perfect number of axioms | Axiomatic Set Theory, Section 1.1

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From playlist Axiomatic Set Theory

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Introduction to sets || Set theory Overview - Part 1

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty

From playlist Set Theory

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Review of set theory -- Proofs

This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.

From playlist Proofs

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Category Theory: The Beginner’s Introduction (Lesson 1 Video 1)

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From playlist Category Theory: The Beginner’s Introduction

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Egbert Rijke: Daily applications of the univalence axiom - lecture 1

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From playlist Combinatorics

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Mandelbrot fractal zoom // featuring Euler bio

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From playlist Misc.

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Egbert Rijke: Daily applications of the univalence axiom - lecture 3

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From playlist Combinatorics

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Gauß Lecture in Leipzig 2022 | László Lovász - Discrete or Continuous

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From playlist Various Lectures

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NOTACON 9: Code That Sounds Good: Music Theory and Algorithmic Composition (EN) | enh. audio

Speaker: nicolle "rogueclown" neulist Whether you are interested in using code to develop or adapt musical ideas, turn mathematical functions or data into music, or generally explore the intersection of music and programming, this talk will give you a place to start. This talk will introd

From playlist Notacon 9

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Symmetries in QFT and their Relationship with Category Theory (Lecture 3) by Lakshya Bhardwaj

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From playlist Infosys-ICTS String Theory Lectures

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Proof: If A is a Subset of B then P(A) is a Subset of P(B) | Power Sets, Set Theory

Here is an unsurprising result. If A is a subset of B then the power set of A is a subset of the power set of B. This is equivalent to saying that if A is a subset of B then every subset of A is a subset of B, which is pretty clearly true! In this video set theory lesson we will sharpen ou

From playlist Set Theory

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Introduction to Sets and Set Notation

This video defines a set, special sets, and set notation.

From playlist Sets (Discrete Math)

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NOTACON 9: Code That Sounds Good: Music Theory and Algorithmic Composition (EN)

Speaker: nicolle "rogueclown" neulist Whether you are interested in using code to develop or adapt musical ideas, turn mathematical functions or data into music, or generally explore the intersection of music and programming, this talk will give you a place to start. This talk will introd

From playlist Notacon 9

Related pages

Translation (geometry) | Set theory | Identity (music) | Equal temperament | Cyclic permutation | Interval vector | Combinatorics | Pitch class | Pitch class space | Tonnetz | Naive set theory | Forte number | Transitive relation | Reflexive relation | Isometry | Group theory | Permutation (music) | Order theory | Equivalence relation | Reflection (mathematics) | Pitch interval | Set (music) | Symmetry in mathematics | Combination | Transformational theory