16/15: Difference between revisions
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The [[5-limit]] just diatonic semitone is the [[superparticular]] interval '''16/15''' -- the difference between the major third [[5/4]] and the fourth [[4/3]], and between [[3/2]] and [[8/5]]. | The [[5-limit]] just '''diatonic semitone''' is the [[superparticular]] interval '''16/15''' -- the difference between the major third [[5/4]] and the fourth [[4/3]], and between [[3/2]] and [[8/5]]. | ||
When this ratio is taken as a comma to be tempered, it produces [[father]] temperament, where 4/3 and 5/4 are equated. In this temperament, major thirds and fifths become [[octave-inverses]] of each other. | When this ratio is taken as a comma to be tempered, it produces [[father]] temperament, where 4/3 and 5/4 are equated. In this temperament, major thirds and fifths become [[octave-inverses]] of each other. | ||
Revision as of 23:23, 31 May 2020
| Interval information |
classic minor second
reduced,
reduced subharmonic
[sound info]
The 5-limit just diatonic semitone is the superparticular interval 16/15 -- the difference between the major third 5/4 and the fourth 4/3, and between 3/2 and 8/5.
When this ratio is taken as a comma to be tempered, it produces father temperament, where 4/3 and 5/4 are equated. In this temperament, major thirds and fifths become octave-inverses of each other.