Fifive comma: Difference between revisions
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The '''fifive comma''' is a [[medium comma|medium]] [[5-limit]] [[comma]] with a width of about a third of a semitone. It is the amount that a stack of five [[27/25]]'s falls short of [[3/2]] by, and also the amount by which a stack of ten [[5/3]]'s [[octave reduction|octave-reduced]] exceeds [[81/64]]. | |||
[[Tempering out]] this interval leads to the [[fifive family]] of temperaments, where the perfect fifth is divided into five equal parts and the octave is split in half. [[26edo]] and [[34edo]] are two notable examples of [[edo]]s that support the basic 5-limit temperament in this family, simply known as [[fifive]]. | |||
Revision as of 11:47, 1 April 2025
| Interval information |
saquinbiyo negative 2nd
The fifive comma is a medium 5-limit comma with a width of about a third of a semitone. It is the amount that a stack of five 27/25's falls short of 3/2 by, and also the amount by which a stack of ten 5/3's octave-reduced exceeds 81/64.
Tempering out this interval leads to the fifive family of temperaments, where the perfect fifth is divided into five equal parts and the octave is split in half. 26edo and 34edo are two notable examples of edos that support the basic 5-limit temperament in this family, simply known as fifive.