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.