31edo: Difference between revisions
m →3\31 - 116.13¢ - Major Semitone or Diatonic Semitone or Large Minor Second or minor 2nd: Added a comment on apotomes. |
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===3\31 - 116.13¢ - Major Semitone or Diatonic Semitone or Large Minor Second or minor 2nd=== | ===3\31 - 116.13¢ - Major Semitone or Diatonic Semitone or Large Minor Second or minor 2nd=== | ||
The larger and clunkier of the 31edo semitones. In meantone, it is the ''diatonic semitone'' which appears in the diatonic scale between, for instance, the major third and perfect fourth, and the major seventh and octave. 3\31 stands in for just ratios 16:15 (111.73¢); 15:14 (119.44¢) and others. It is notable that two of these make an 8/7; this implies that the 3\31 is a ''secor'' and generates [[Gamelismic clan|miracle temperament]]. | The larger and clunkier of the 31edo semitones. In meantone, it is the ''diatonic semitone'' which appears in the diatonic scale between, for instance, the major third and perfect fourth, and the major seventh and octave. 3\31 stands in for just ratios 16:15 (111.73¢); 15:14 (119.44¢) and others. It is notable that two of these make an 8/7; this implies that the 3\31 is a ''secor'' and generates [[Gamelismic clan|miracle temperament]]. The Pythagorean apotome 2187:2048 (113.69¢) is close to 3\31 in value, but is not consistent with the mapping of the primes 2 and 3 in 31edo (in fact the apotome of 31edo is the previous degree 2\31). | ||
MOS Scales generated by 3\31 | MOS Scales generated by 3\31 | ||