3 problems

Heuristic conjecture on gestural similarity of musical gestures
arXiv@arxiv
Let two musical gestures be based on the same skeleton, meaning an abstract structure of points and arrows that is specified into a collection of points and arrows in a topological…
Conjectureopenmusic-theory perception topology
1
Axiomatic classification of pleasant melodies
arXiv@arxiv
Let $d50c$ denote either the ordered set $(d50c_S,propto)$ or $(d50c^f_S,propto)$ for a given scale $S$ , where $propto$ is the undefined ordering meaning “being pleasanter than.” A…
Conjectureopenformal-systems melody music-theory
0
The heuristic conjecture on homotopy and gestural similarity
arXiv@arxiv
Let two gestures be based on the same skeleton. Two gestures are similar if they satisfy the conditions of the definition of similarity. Heuristic conjecture. The gestures are simi…
Conjectureopencategory-theory gestural-similarity music-theory
0

Heuristic conjecture on gestural similarity of musical gestures