Uniwiz comma - Revision history

Xenllium at 03:34, 20 May 2026

2026-05-20T03:34:44Z

← Older revision		Revision as of 03:34, 20 May 2026
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	{{Infobox ~~Interval~~		{{Infobox interval
			\| Ratio = 1500625/1492992
	\| Monzo = -11 -6 4 4		\| Monzo = -11 -6 4 4
	\| Name = uniwiz comma, uniwizma		\| Name = uniwiz comma, uniwizma
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	== Temperaments ==		== Temperaments ==
	When tempered out alone, it leads to the 7-limit version of the rank-3 [[uniwiz]] temperament, which has ~36/35 (or ~35/24) and ~5/4 as generators, and a [[semi-octave]] period. This has the effect of splitting the whole tone in four equal parts. Because it has 2 periods per octave, odd edos cannot be tempering out this comma.		When tempered out alone, it leads to the 7-limit version of the rank-3 [[uniwiz]] temperament, which has ~36/35 (or ~35/24) and ~5/4 as generators, and a [[semi-octave]] period. This has the effect of splitting the whole tone in four equal parts. Because it has 2 periods per octave, odd-numbered edos cannot be tempering out this comma.

	When the [[schisma]] is added, it leads to the rank-2 [[kleischismic]], for which [[94edo\|94]] and [[118edo\|118]] are great edos. Despite the name ''kleischismic'', it does not temper out the [[15625/15552\|kleisma]]. It finds ~3/2 at 2 generators plus a semioctave. By tempering out [[1225/1224]], it also finds ~[[17/16]] at two generators.		When the [[schisma]] is added, it leads to the rank-2 [[kleischismic]], for which [[94edo\|94]] and [[118edo\|118]] are great edos. Despite the name ''kleischismic'', it does not temper out the [[15625/15552\|kleisma]]. It finds ~3/2 at 2 generators plus a semioctave. By tempering out [[1225/1224]], it also finds ~[[17/16]] at two generators.

	[[Category:Uniwiz]]		[[Category:Uniwiz]]

FloraC: Cleanup

2025-11-27T15:39:20Z

Cleanup

← Older revision		Revision as of 15:39, 27 November 2025
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	\| Comma = true		\| Comma = true
	}}		}}
	The '''uniwiz comma''' ({{monzo\|legend=1\| -11 -6 4 4 }}, [[ratio]]: 1500625/1492992), is the small interval that separates a stack of four [[35/24]] subfifths with the just major ninth [[9/2]]. It also is the difference between [[9/8]] and a stack of four [[36/35]] quartertones~~. This has the effect of splitting the whole tone in 4 equal parts, and the octave to be split in half~~.		The '''uniwiz comma''' ({{monzo\|legend=1\| -11 -6 4 4 }}, [[ratio]]: 1500625/1492992), is the small interval that separates a stack of four [[35/24]] subfifths with the just major ninth [[9/2]]. It also is the difference between [[9/8]] and a stack of four [[36/35]] quartertones.

	== Approximations ==		== Approximations ==
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	== Temperaments ==		== Temperaments ==
	When tempered out alone, it leads to the rank-3 [[uniwiz]] temperament, which has ~36/35 (or ~35/24) and ~5/4 as generators, and [[~~sqrt(2/1)\|semioctave~~]] period. Because it has 2 periods per octave, odd edos cannot be tempering out this comma~~. When the [[schisma]] is added, it leads to the rank-2 [[kleischismic]], for which [[94edo\|94]] and [[118edo\|118]] are great edos~~.		When tempered out alone, it leads to the 7-limit version of the rank-3 [[uniwiz]] temperament, which has ~36/35 (or ~35/24) and ~5/4 as generators, and a [[semi-octave]] period. This has the effect of splitting the whole tone in four equal parts. Because it has 2 periods per octave, odd edos cannot be tempering out this comma.

	Despite the name "kleischismic", it does not temper out the [[15625/15552\|kleisma]]. It finds ~3/2 at 2 generators plus a semioctave. By tempering out [[1225/1224]], it also finds ~[[17/16]] at two generators.		When the [[schisma]] is added, it leads to the rank-2 [[kleischismic]], for which [[94edo\|94]] and [[118edo\|118]] are great edos. Despite the name ''kleischismic'', it does not temper out the [[15625/15552\|kleisma]]. It finds ~3/2 at 2 generators plus a semioctave. By tempering out [[1225/1224]], it also finds ~[[17/16]] at two generators.

	[[Category:Uniwiz]]		[[Category:Uniwiz]]

FloraC at 15:39, 15 September 2025

2025-09-15T15:39:26Z

← Older revision		Revision as of 15:39, 15 September 2025
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	{{Infobox Interval		{{Infobox Interval
			\| Monzo = -11 -6 4 4
	\| Name = uniwiz comma, uniwizma		\| Name = uniwiz comma, uniwizma
	\| Color name = quadzoyo 2nd, z^4y^42		\| Color name = quadzoyo 2nd, z^4y^42

FloraC: FloraC moved page 1500625/1492992 to Uniwiz comma: Excessively large ratio

2025-09-15T15:35:35Z

FloraC moved page 1500625/1492992 to Uniwiz comma: Excessively large ratio

← Older revision	Revision as of 15:35, 15 September 2025
(No difference)

FloraC: Review

2025-09-15T15:35:07Z

Review

← Older revision		Revision as of 15:35, 15 September 2025
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	{{Infobox Interval\|Name=uniwiz comma		{{Infobox Interval
	~~uniwizma~~\|Color name=quadzoyo 2nd, z^4y^42\|~~Sound~~=\|~~Comma~~=1}}1500625/1492992~~, the uniwiz comma~~, is the small interval that separates a stack of four [[35/24]] subfifths with the just major ninth [[9/2]]. It also is the difference between [[9/8]] and a stack of four [[36/35]] quartertones. This has the effect of splitting the whole tone in 4 equal parts, and the octave to be split in half.		\| Name = uniwiz comma, uniwizma
			\| Color name = quadzoyo 2nd, z^4y^42
			\| Comma = true
			}}
			The '''uniwiz comma''' ({{monzo\|legend=1\| -11 -6 4 4 }}, [[ratio]]: 1500625/1492992), is the small interval that separates a stack of four [[35/24]] subfifths with the just major ninth [[9/2]]. It also is the difference between [[9/8]] and a stack of four [[36/35]] quartertones. This has the effect of splitting the whole tone in 4 equal parts, and the octave to be split in half.

	== Approximations ==		== Approximations ==
	It is very well approximated by 1\[[145edo\|145]] and 2\[[270edo\|270]], and consistently represented in edos such as [[171edo\|171]], [[224edo\|224]], and [[441edo\|441]].		It is very well approximated by [[145edo\|1\145]] and [[270edo\|2\270]], and consistently represented in edos such as [[171edo\|171]], [[224edo\|224]], and [[441edo\|441]].

	== Temperaments ==		== Temperaments ==
	When tempered alone, it leads to the rank-3 [[uniwiz]] temperament, which has ~36/35 (or ~35/24) and ~5/4 as generators, and [[~~Sqrt~~(2/1)\|semioctave]] period. Because it has 2 periods per octave, odd edos cannot be tempering this comma. When the [[schisma]] is added, it leads to the rank-2 [[kleischismic]], for which [[94edo\|94]] and [[118edo\|118]] are great edos.		When tempered out alone, it leads to the rank-3 [[uniwiz]] temperament, which has ~36/35 (or ~35/24) and ~5/4 as generators, and [[sqrt(2/1)\|semioctave]] period. Because it has 2 periods per octave, odd edos cannot be tempering out this comma. When the [[schisma]] is added, it leads to the rank-2 [[kleischismic]], for which [[94edo\|94]] and [[118edo\|118]] are great edos.

	Despite the name "kleischismic", it does not temper the [[15625/15552\|kleisma]]. It finds ~3/2 at 2 generators plus a semioctave. By tempering [[1225/1224]], it also finds ~[[17/16]] at two generators.		Despite the name "kleischismic", it does not temper out the [[15625/15552\|kleisma]]. It finds ~3/2 at 2 generators plus a semioctave. By tempering out [[1225/1224]], it also finds ~[[17/16]] at two generators.

			[[Category:Uniwiz]]

Eufalesio: Birth

2025-09-13T13:02:36Z

Birth

New page

{{Infobox Interval|Name=uniwiz comma
uniwizma|Color name=quadzoyo 2nd, z^4y^42|Sound=|Comma=1}}1500625/1492992, the uniwiz comma, is the small interval that separates a stack of four [[35/24]] subfifths with the just major ninth [[9/2]]. It also is the difference between [[9/8]] and a stack of four [[36/35]] quartertones. This has the effect of splitting the whole tone in 4 equal parts, and the octave to be split in half.

== Approximations ==
It is very well approximated by 1\[[145edo|145]] and 2\[[270edo|270]], and consistently represented in edos such as [[171edo|171]], [[224edo|224]], and [[441edo|441]].

== Temperaments ==
When tempered alone, it leads to the rank-3 [[uniwiz]] temperament, which has ~36/35 (or ~35/24) and ~5/4 as generators, and [[Sqrt(2/1)|semioctave]] period. Because it has 2 periods per octave, odd edos cannot be tempering this comma. When the [[schisma]] is added, it leads to the rank-2 [[kleischismic]], for which [[94edo|94]] and [[118edo|118]] are great edos.

Despite the name "kleischismic", it does not temper the [[15625/15552|kleisma]]. It finds ~3/2 at 2 generators plus a semioctave. By tempering [[1225/1224]], it also finds ~[[17/16]] at two generators.