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 [[5-limit]] interval with a width of about a third of a semitone. It is the amount that a stack of 5 [[27/25]]s falls short of [[3/2]] by, and also the amount by which a stack of 10 [[5/3]]s exceeds harmonic 162.
[[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]].
 
Tempering out this interval leads to the [[Fifive family|fifive family]] of temperaments, where the perfect fifth is divided into 5 equal parts and the octave is split in half. [[26edo]] and [[34edo]] are two notable examples of [[EDO|edo]]s that support the basic 5-limit temperament in this family, simply known as [[Fifive family#Fifive|fifive]].