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]]. | 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]]. | == Temperaments == | ||
[[Tempering out]] this interval leads to the [[fifive family]] of temperaments, where the [[3/2|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]]. | |||
== Etymology == | |||
This comma was named by [[Petr Pařízek]] in 2011 in terms of the corresponding temperament, ''fifives'', for the temperament splits the perfect fifth in five<ref>See [[Fifive family]] for sources. </ref>. It is not clear when it lost an ''s''. | |||
== Notes == | |||
Latest revision as of 11:53, 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.
Temperaments
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.
Etymology
This comma was named by Petr Pařízek in 2011 in terms of the corresponding temperament, fifives, for the temperament splits the perfect fifth in five[1]. It is not clear when it lost an s.
Notes
- ↑ See Fifive family for sources.