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Results tagged with music-theory
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user 165920
For questions on mathematical problems arising from music theory, e.g. scales, harmonies, rhythms, and compositional techniques (such as dodecaphony or minimalism).
1
vote
Techniques from number theory used in algorithmic compositions?
In Reddit/composer Tom Johnson was mentioned about using mathematical ideas in compositions, and who has written two books about this:
"Self-similar Melodies"
and
"Looking at Numbers"
I have not looke …
- 3,054
1
vote
Techniques from number theory used in algorithmic compositions?
I would like to add one technique based on a positive definite kernel over the natural numbers:
$$k(a,b) = \frac{\gcd(a,b)^2}{ab}$$
and
$$k(a,b) = \frac{\min(a,b)}{\max(a,b)}$$
Details of this method …
- 3,054
1
vote
Kolmogorov complexity of classical music
See for instance Normalized Compression Distance ( https://en.wikipedia.org/wiki/Normalized_compression_distance ) which is based on Kolmogorov Complexity and has been used to cluster music:
Cilibrasi …
- 3,054