Fifive comma - Revision history

FloraC: +etymology

2025-04-01T11:53:22Z

+etymology

← Older revision		Revision as of 11:53, 1 April 2025
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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 ==

FloraC: Cleanup

2025-04-01T11:47:48Z

Cleanup

← Older revision		Revision as of 11:47, 1 April 2025
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	\| Comma = yes		\| Comma = yes
	}}		}}
			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]].

Tristanbay: Corrected some info

2025-03-30T18:56:26Z

Corrected some info

← Older revision		Revision as of 18:56, 30 March 2025
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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]].

Tristanbay: added page for Fifive comma

2025-03-30T18:53:55Z

added page for Fifive comma

New page

{{Infobox Interval
| Ratio = 9765625/9565938
| Name = fifive comma
| Color name = sy<sup>10</sup>-2,<br>saquinbiyo negative 2nd
| Comma = yes
}}

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.

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]].