Fifive comma: Difference between revisions

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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 exceeds [[3/2]] by, and also the amount by which a stack of 10 [[5/3]]s exceeds harmonic 162.
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|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]].
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]].