5632/5625 - Revision history

Overthink: Added another interpretation of comma

2025-10-30T03:40:58Z

Added another interpretation of comma

← Older revision		Revision as of 03:40, 30 October 2025
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	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''vishdel comma''' is an [[11-limit]] [[unnoticeable comma]] with a ratio of '''5632/5625''', a monzo of {{monzo\| 9 -2 -4 0 1 }}, and a size of 2.1531 [[cent]]s. It is the amount that the [[11/1\|eleventh harmonic]] overshoots two [[3/2\|perfect fifths]], four [[5/4\|major thirds]], and an [[2/1\|octave]] combined. It is tempered out in 11-limit extensions of temperaments such as [[vishnu]], [[grendel]], [[quasiorwell]], [[hemithirds]], and [[decoid]].		The '''vishdel comma''' is an [[11-limit]] [[unnoticeable comma]] with a ratio of '''5632/5625''', a monzo of {{monzo\| 9 -2 -4 0 1 }}, and a size of 2.1531 [[cent]]s. It is the amount that the [[11/1\|eleventh harmonic]] overshoots two [[3/2\|perfect fifths]], four [[5/4\|major thirds]], and an [[2/1\|octave]] combined. It is also the amount by which four major thirds falls short of [[11/9]] plus an octave. It is tempered out in 11-limit extensions of temperaments such as [[vishnu]], [[grendel]], [[quasiorwell]], [[hemithirds]], and [[decoid]].

	== Temperament ==		== Temperament ==

BudjarnLambeth at 23:46, 3 November 2024

2024-11-03T23:46:29Z

← Older revision		Revision as of 23:46, 3 November 2024
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	[[Category:Vishdel]]		[[Category:Vishdel]]
			[[Category:Commas named by combining multiple temperament names]]

Godtone: /* Temperament */ brevity

2024-07-16T17:41:45Z

Temperament: brevity

← Older revision		Revision as of 17:41, 16 July 2024
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	== Temperament ==		== Temperament ==
	Tempering this comma out in the full 11-limit gives the rank-4 vishdel temperament. Below ~~however,~~ is a rank-3 subgroup temperament ~~since~~ the vishdel comma doesn't have any ~~sevens in it~~.		Tempering this comma out in the full 11-limit gives the rank-4 vishdel temperament. Below is the rank-3 subgroup temperament as the vishdel comma doesn't have any 7's.

	=== 118 & 65 & 152 ===		=== 118 & 65 & 152 ===

Godtone: /* Temperament */ avoid potentially misleading/confusing wording by clarifying the sense

2024-07-16T17:40:54Z

Temperament: avoid potentially misleading/confusing wording by clarifying the sense

← Older revision		Revision as of 17:40, 16 July 2024
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	== Temperament ==		== Temperament ==
	Tempering this comma out gives the rank-4 vishdel temperament. Below however, is a rank-3 subgroup temperament since the vishdel comma doesn't have any sevens in it.		Tempering this comma out in the full 11-limit gives the rank-4 vishdel temperament. Below however, is a rank-3 subgroup temperament since the vishdel comma doesn't have any sevens in it.

	=== 118 & 65 & 152 ===		=== 118 & 65 & 152 ===

Francium: Added color name

2023-09-07T16:24:44Z

Added color name

← Older revision		Revision as of 16:24, 7 September 2023
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	\| Ratio = 5632/5625		\| Ratio = 5632/5625
	\| Name = vishdel comma		\| Name = vishdel comma
			\| Color name = s1og<sup>4</sup>2, saloquadgu 2nd
	\| Comma = yes		\| Comma = yes
	}}		}}

Cmloegcmluin: "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

2023-05-07T17:15:38Z

"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

← Older revision		Revision as of 17:15, 7 May 2023
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	[[POTE generator]]s: ~3/2 = 702.1744, ~5/4 = 386.7968		[[POTE generator]]s: ~3/2 = 702.1744, ~5/4 = 386.7968

	[[Optimal ~~GPV~~ sequence~~]]:~~ 31, 34, 53, 65, 87, 118, 152, 183, 217, 270		{{Optimal ET sequence\|legend=1\| 31, 34, 53, 65, 87, 118, 152, 183, 217, 270}}

	== See also ==		== See also ==

Plumtree: Infobox Interval added

2022-10-27T16:30:34Z

Infobox Interval added

← Older revision		Revision as of 16:30, 27 October 2022
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			{{Infobox Interval
			\| Ratio = 5632/5625
			\| Name = vishdel comma
			\| Comma = yes
			}}
	The '''vishdel comma''' is an [[11-limit]] [[unnoticeable comma]] with a ratio of '''5632/5625''', a monzo of {{monzo\| 9 -2 -4 0 1 }}, and a size of 2.1531 [[cent]]s. It is the amount that the [[11/1\|eleventh harmonic]] overshoots two [[3/2\|perfect fifths]], four [[5/4\|major thirds]], and an [[2/1\|octave]] combined. It is tempered out in 11-limit extensions of temperaments such as [[vishnu]], [[grendel]], [[quasiorwell]], [[hemithirds]], and [[decoid]].		The '''vishdel comma''' is an [[11-limit]] [[unnoticeable comma]] with a ratio of '''5632/5625''', a monzo of {{monzo\| 9 -2 -4 0 1 }}, and a size of 2.1531 [[cent]]s. It is the amount that the [[11/1\|eleventh harmonic]] overshoots two [[3/2\|perfect fifths]], four [[5/4\|major thirds]], and an [[2/1\|octave]] combined. It is tempered out in 11-limit extensions of temperaments such as [[vishnu]], [[grendel]], [[quasiorwell]], [[hemithirds]], and [[decoid]].

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	* [[Rank-4 temperament]], where this comma's rank-4 temperament should be added to.		* [[Rank-4 temperament]], where this comma's rank-4 temperament should be added to.

	~~[[Category:11-limit]]~~
	~~[[Category:Unnoticeable comma]]~~
	[[Category:Vishdel]]		[[Category:Vishdel]]

FloraC: Cleanup

2022-10-01T03:25:59Z

Cleanup

← Older revision		Revision as of 03:25, 1 October 2022
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	The vishdel comma is an [[11-limit]] [[unnoticeable comma]] with a ratio of 5632/5625, a monzo of [9 -2 -4 0 1⟩, and a size of 2.1531 ~~cents~~. It is the amount that the [[11/1\|eleventh harmonic]] overshoots two [[3/2\|perfect fifths]], four [[5/4\|major thirds]], and an [[2/1\|octave]] combined. It is tempered out in 11-limit extensions of temperaments such as [[vishnu]], [[grendel]], [[quasiorwell]], [[hemithirds]], and [[decoid]].		The '''vishdel comma''' is an [[11-limit]] [[unnoticeable comma]] with a ratio of '''5632/5625''', a monzo of {{monzo\| 9 -2 -4 0 1 }}, and a size of 2.1531 [[cent]]s. It is the amount that the [[11/1\|eleventh harmonic]] overshoots two [[3/2\|perfect fifths]], four [[5/4\|major thirds]], and an [[2/1\|octave]] combined. It is tempered out in 11-limit extensions of temperaments such as [[vishnu]], [[grendel]], [[quasiorwell]], [[hemithirds]], and [[decoid]].

	== Temperament ==		== Temperament ==
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	[[Comma list]]: 5632/5625		[[Comma list]]: 5632/5625

	[[Mapping]]: [⟨1 0 0 -9], ⟨0 1 0 2], ⟨0 0 1 4]]		[[Mapping]]: [{{val\| 1 0 0 -9 }}, {{val\| 0 1 0 2 }}, {{val\| 0 0 1 4 }}]

	[[POTE generator~~\|POTE generators~~]]: ~3 = ~~1902~~.1744, ~5 = ~~2786~~.7968		[[POTE generator]]s: ~3/2 = 702.1744, ~5/4 = 386.7968

	[[~~Val\|Vals~~]]: 31, 34, 53, 65, 87, 118, 152, 183, 217, 270		[[Optimal GPV sequence]]: 31, 34, 53, 65, 87, 118, 152, 183, 217, 270

	== See also ==		== See also ==

	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]
	* [[Rank-4 temperament~~\|Rank-4 temperaments~~]], where this comma's rank-4 temperament should be added to.		* [[Rank-4 temperament]], where this comma's rank-4 temperament should be added to.

	[[Category:11-limit]]		[[Category:11-limit]]
	[[Category:Unnoticeable comma]]		[[Category:Unnoticeable comma]]
			[[Category:Vishdel]]

FloraC: FloraC moved page Vishdel comma to 5632/5625 over redirect: 4-digit ratios

2022-10-01T03:23:35Z

FloraC moved page Vishdel comma to 5632/5625 over redirect: 4-digit ratios

← Older revision	Revision as of 03:23, 1 October 2022
(No difference)

Xenwolf: add categories

2022-09-29T16:03:21Z

add categories

← Older revision		Revision as of 16:03, 29 September 2022
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	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]
	* [[Rank-4 temperament\|Rank-4 temperaments]], where this comma's rank-4 temperament should be added to.		* [[Rank-4 temperament\|Rank-4 temperaments]], where this comma's rank-4 temperament should be added to.

			[[Category:11-limit]]
			[[Category:Unnoticeable comma]]