2 citations · 3 across the 3 of their papers we have counts for
3 papers
cs.SD2016
An algorithm to assign musical prime commas to every prime number and construct a universal and compact free Just Intonation musical notation
David Ryan
Musical frequencies in Just Intonation are comprised of rational numbers. The structure of rational numbers is determined by prime factorisations. Just Intonation frequencies can b…
cs.SD2016★ 2 cited
Mathematical Harmony Analysis
David Ryan
Musical chords, harmonies or melodies in Just Intonation have note frequencies which are described by a base frequency multiplied by rational numbers. For any local section, these…
cs.SD2015★ 1 cited
Transposition of Notations in Just Intonation
David Ryan
A notation system was previously presented which can notate any rational frequency in free Just Intonation. Transposition of music is carried out by multiplying each member of a se…