# 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).

9
questions

**4**

votes

**5**answers

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

**1**answer

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

**7**answers

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

**4**answers

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

**1**answer

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**

votes

**2**answers

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

**0**answers

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

**2**answers

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

**2**answers

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 ...