16/15: Difference between revisions
m + It is a Mersenne comma. |
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{{Wikipedia|Semitone}} | {{Wikipedia|Semitone}} | ||
The [[5-limit]] [[superparticular]] interval '''16/15''' is the '''just diatonic semitone''', '''classic(al) diatonic semitone''' or '''ptolemaic diatonic semitone'''<ref>For reference, see [[5-limit]]. </ref> – the difference between the major third [[5/4]] and the fourth [[4/3]], and between [[3/2]] and [[8/5 | The [[5-limit]] [[superparticular]] interval '''16/15''' is the '''just diatonic semitone''', '''classic(al) diatonic semitone''' or '''ptolemaic diatonic semitone'''<ref>For reference, see [[5-limit]]. </ref> – the difference between the major third [[5/4]] and the fourth [[4/3]], and between [[3/2]] and [[8/5]]. | ||
== Temperaments == | == Temperaments == | ||
When this ratio is taken as a comma to be tempered, it produces [[father]] temperament, | When this ratio is taken as a [[comma]] to be [[tempering out|tempered out]], it produces [[father]] temperament, and lends itself the name '''father comma'''. In this [[exotemperament]], 4/3 and 5/4 are equated, and major thirds and fifths become [[octave complement]]s of each other. It is a [[Mersenne comma]]. | ||
== See also == | == See also == | ||
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[[Category:Second]] | [[Category:Second]] | ||
[[Category:Semitone]] | [[Category:Semitone]] | ||
[[Category:Father]] | |||