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]].

== 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 ==

@@ Line 7: / Line 7: @@
 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 ==