Questions tagged [music-theory]

For questions on mathematical problems arising from music theory, e.g. scales, harmonies, rhythms, and compositional techniques (such as dodecaphony or minimalism).

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4
votes
5answers
480 views

Techniques from number theory used in algorithmic compositions?

I have been experimenting with number theoretic techniques to get some algorithmic compositions. I use python (mingus) to create the midi, import it on musescore 2 and have the corresponing score. The ...
3
votes
1answer
124 views

How to identify the two copies of $D_{24}$ in the homomorphisms of the 2 musical actions? [closed]

Let $S$ be the set of minor and major triads. Two sets of actions are defined on the set: 1) Musical transposition and inversion; 2) P, L, R actions $$P(C-major) = c-minor,$$ $$L(C-major) = e-minor,$...
81
votes
7answers
9k views

Books on music theory intended for mathematicians

Some time ago I attended a colloquium given by Princeton music theorist Dmitri Tymoczko, where he gave a fascinating talk on the connection between music composition and certain geometric objects (as ...
3
votes
4answers
512 views

Survey papers of results (relevant to mathematics) produced during research on the relationship between mathematics and music theory

It is well-known that there is a relationship between music and mathematics, and there are many references that explore this topic (for example, Benson's book). However, I would like to ask if there ...
15
votes
1answer
1k views

Relation between math and piano music

What, if any, is the relation between Cantor's function and Ligeti studio: Devil's Staircase?
34
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2answers
2k views

A Weaker Version of the ABC Conjecture

I posted this question over at stackexchange, where a user informed me that it was probably more appropriate for mathoverflow. Here's to hoping that the answer is out there: The ABC conjecture ...
4
votes
0answers
271 views

What is known about orbifolding ordered groups and sets? Who has been involved? Links to Lee metrics?

In mathematical music theory several ordered groups are considered. Some examples contain the frequency space or Tonnetzes. Other groups (commutative and non-commutative ones) are discussed by Dawid ...
5
votes
2answers
453 views

Computer platforms for combinatorial search problems/mathematical music theory?

I'm finding programming various combinatorial searches (connected to mathematical music theory) in a general purpose computer language tedious, so I'd like pointers to computer platforms/environment ...
8
votes
2answers
615 views

What does the space induced by this unusual metric(?) on R/Z look like?

The motivation for this question comes from music theory. Dmitri Tymoczko models "good" voice leading as minimizing distance between pitches in successive chords. While this theory works well for ...