Ampersand comma - Revision history

FloraC: -data (addressed in the syntonic-31 continuum)

2025-01-06T13:41:23Z

-data (addressed in the syntonic-31 continuum)

@@ Line 6: / Line 6: @@
 }}
-The '''ampersand comma''', or '''Ampersand's comma''', is the [[comma]] of '''34171875/33554432''' of size 31.567 [[cent]]s. It is the amount by which six [[16/15|classical diatonic semitones (16/15)]] fall short of the [[3/2|perfect fifth (3/2)]]; that is, (3/2)/(16/15)<sup>6</sup>, or the amount by which seven such intervals fall short of the [[8/5|classical minor sixth (8/5)]]. The [[5-limit]] temperament tempering it out gives the 5-limit version of [[Gamelismic clan #Miracle|miracle temperament]]. The ampersand comma was named after [[Paul Rapoport]]'s cat, Ampersand.
+The '''ampersand comma''', or '''Ampersand's comma''', is the [[comma]] of '''34171875/33554432''' of size 31.567 [[cent]]s. It is the amount by which six [[16/15|classical diatonic semitones (16/15)]] fall short of the [[3/2|perfect fifth (3/2)]]; that is, (3/2)/(16/15)<sup>6</sup>, or the amount by which seven such intervals fall short of the [[8/5|classical minor sixth (8/5)]]. The [[5-limit]] temperament tempering it out gives the eponymous '''ampersand temperament''', which is the 5-limit version of [[miracle|miracle temperament]]. See [[Syntonic–31 equivalence continuum #Ampersand]] for technical data. The ampersand comma was named after [[Paul Rapoport]]'s cat, Ampersand.
 [[Category:Commas named after individuals]]

FloraC: Ampersand -> ampersand comma to better distinguish the comma from the temp

2025-01-06T13:37:39Z

Ampersand -> ampersand comma to better distinguish the comma from the temp

← Older revision		Revision as of 13:37, 6 January 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 34171875/33554432		\| Ratio = 34171875/33554432
	\| Name = ampersand		\| Name = ampersand comma
	\| Color name = LLy<sup>6</sup>-3, Lala-tribiyo comma		\| Color name = LLy<sup>6</sup>-3, Lala-tribiyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}

	The '''ampersand''', or '''Ampersand's comma''', is the [[comma]] of '''34171875/33554432''' of size 31.567 [[cent]]s. It is the amount by which six [[16/15\|classical diatonic semitones (16/15)]] fall short of the [[3/2\|perfect fifth (3/2)]]; that is, (3/2)/(16/15)<sup>6</sup>, or the amount by which seven such intervals fall short of the [[8/5\|classical minor sixth (8/5)]]. The [[5-limit]] temperament tempering it out gives the 5-limit version of [[Gamelismic clan #Miracle\|miracle temperament]]. The ~~Ampersand's~~ comma was named after [[Paul Rapoport]]'s cat, Ampersand.		The '''ampersand comma''', or '''Ampersand's comma''', is the [[comma]] of '''34171875/33554432''' of size 31.567 [[cent]]s. It is the amount by which six [[16/15\|classical diatonic semitones (16/15)]] fall short of the [[3/2\|perfect fifth (3/2)]]; that is, (3/2)/(16/15)<sup>6</sup>, or the amount by which seven such intervals fall short of the [[8/5\|classical minor sixth (8/5)]]. The [[5-limit]] temperament tempering it out gives the 5-limit version of [[Gamelismic clan #Miracle\|miracle temperament]]. The ampersand comma was named after [[Paul Rapoport]]'s cat, Ampersand.

	== Temperament data ==		== Temperament data ==

BudjarnLambeth at 06:15, 3 November 2024

2024-11-03T06:15:21Z

← Older revision		Revision as of 06:15, 3 November 2024
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	[[Badness]] (Sintel): 3.888		[[Badness]] (Sintel): 3.888

			[[Category:Commas named after individuals]]

Lériendil: /* Temperament data */

2024-08-25T10:01:44Z

Temperament data

← Older revision		Revision as of 10:01, 25 August 2024
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	Optimal tuning ([[CWE]]): ~2 = 1\1, ~16/15 = 116.680		Optimal tuning ([[CWE]]): ~2 = 1\1, ~16/15 = 116.680

	Supporting ETs: 31, 10, 41, 72, 21, 11, 103, 113, 51, 52, 134, 175, ~~154cc~~, ~~185cc~~		Supporting ETs: 31, 10, 41, 72, 21, 11, 103, 113, 51, 52, 134, 175, 154c, 185c

	[[Badness]] (Sintel): 3.888		[[Badness]] (Sintel): 3.888

Lériendil at 09:54, 25 August 2024

2024-08-25T09:54:22Z

← Older revision		Revision as of 09:54, 25 August 2024
Line 7:		Line 7:

	The '''ampersand''', or '''Ampersand's comma''', is the [[comma]] of '''34171875/33554432''' of size 31.567 [[cent]]s. It is the amount by which six [[16/15\|classical diatonic semitones (16/15)]] fall short of the [[3/2\|perfect fifth (3/2)]]; that is, (3/2)/(16/15)<sup>6</sup>, or the amount by which seven such intervals fall short of the [[8/5\|classical minor sixth (8/5)]]. The [[5-limit]] temperament tempering it out gives the 5-limit version of [[Gamelismic clan #Miracle\|miracle temperament]]. The Ampersand's comma was named after [[Paul Rapoport]]'s cat, Ampersand.		The '''ampersand''', or '''Ampersand's comma''', is the [[comma]] of '''34171875/33554432''' of size 31.567 [[cent]]s. It is the amount by which six [[16/15\|classical diatonic semitones (16/15)]] fall short of the [[3/2\|perfect fifth (3/2)]]; that is, (3/2)/(16/15)<sup>6</sup>, or the amount by which seven such intervals fall short of the [[8/5\|classical minor sixth (8/5)]]. The [[5-limit]] temperament tempering it out gives the 5-limit version of [[Gamelismic clan #Miracle\|miracle temperament]]. The Ampersand's comma was named after [[Paul Rapoport]]'s cat, Ampersand.

			== Temperament data ==

			=== Ampersand ===
			{{see also\| Gamelismic clan #Miracle }}

			Subgroup: 2.3.5

			[[Comma]]: 34171875/33554432

			[[Mapping]]: [{{Val\| 1 1 3 }}, {{Val\| 0 6 -7 }}]

			Optimal tuning ([[CWE]]): ~2 = 1\1, ~16/15 = 116.680

			Supporting ETs: 31, 10, 41, 72, 21, 11, 103, 113, 51, 52, 134, 175, 154cc, 185cc

			[[Badness]] (Sintel): 3.888

ArrowHead294: ArrowHead294 moved page Ampersand to Ampersand comma

2024-03-26T00:04:50Z

ArrowHead294 moved page Ampersand to Ampersand comma

← Older revision	Revision as of 00:04, 26 March 2024
(No difference)

FloraC: Octave reduction should be made explicit, in which case 16/15 turns out still more convenient

2023-04-06T05:56:39Z

Octave reduction should be made explicit, in which case 16/15 turns out still more convenient

← Older revision		Revision as of 05:56, 6 April 2023
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	}}		}}

	The '''ampersand''', or '''Ampersand's [[comma]]''', is the ~~interval~~ of '''34171875/33554432''' of size 31.567 [[cent]]s. It is the amount by which six [[16/15\|~~classic~~ diatonic semitones (16/15)]] fall short of a fifth; that is, (3/2)/(16/15)<sup>6</sup>~~. It also~~ the amount by which 7 [[15/8~~]] exceed [[~~5/4]]. The [[5-limit]] temperament tempering it out gives the 5-limit version of [[Gamelismic clan #Miracle\|miracle temperament]]. The Ampersand's comma was named after [[Paul Rapoport]]'s cat, Ampersand.		The '''ampersand''', or '''Ampersand's comma''', is the [[comma]] of '''34171875/33554432''' of size 31.567 [[cent]]s. It is the amount by which six [[16/15\|classical diatonic semitones (16/15)]] fall short of the [[3/2\|perfect fifth (3/2)]]; that is, (3/2)/(16/15)<sup>6</sup>, or the amount by which seven such intervals fall short of the [[8/5\|classical minor sixth (8/5)]]. The [[5-limit]] temperament tempering it out gives the 5-limit version of [[Gamelismic clan #Miracle\|miracle temperament]]. The Ampersand's comma was named after [[Paul Rapoport]]'s cat, Ampersand.

CompactStar at 00:28, 6 April 2023

2023-04-06T00:28:47Z

← Older revision		Revision as of 00:28, 6 April 2023
Line 6:		Line 6:
	}}		}}

	The '''ampersand''', or '''Ampersand's [[comma]]''', is the interval of '''34171875/33554432''' of size 31.567 [[cent]]s. It is the amount by which six [[16/15\|classic diatonic semitones (16/15)]] fall short of a fifth; that is, (3/2)/(16/15)<sup>6</sup>. The [[5-limit]] temperament tempering it out gives the 5-limit version of [[Gamelismic clan #Miracle\|miracle temperament]]. The Ampersand's comma was named after [[Paul Rapoport]]'s cat, Ampersand.		The '''ampersand''', or '''Ampersand's [[comma]]''', is the interval of '''34171875/33554432''' of size 31.567 [[cent]]s. It is the amount by which six [[16/15\|classic diatonic semitones (16/15)]] fall short of a fifth; that is, (3/2)/(16/15)<sup>6</sup>. It also the amount by which 7 [[15/8]] exceed [[5/4]]. The [[5-limit]] temperament tempering it out gives the 5-limit version of [[Gamelismic clan #Miracle\|miracle temperament]]. The Ampersand's comma was named after [[Paul Rapoport]]'s cat, Ampersand.

TallKite: added color name

2022-12-29T03:34:02Z

added color name

← Older revision		Revision as of 03:34, 29 December 2022
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	\| Ratio = 34171875/33554432		\| Ratio = 34171875/33554432
	\| Name = ampersand		\| Name = ampersand
			\| Color name = LLy<sup>6</sup>-3, Lala-tribiyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}

	The '''ampersand''', or '''Ampersand's [[comma]]''', is the interval of '''34171875/33554432''' of size 31.567 [[cent]]s. It is the amount by which six [[16/15\|classic diatonic semitones (16/15)]] fall short of a fifth; that is, (3/2)/(16/15)<sup>6</sup>. The [[5-limit]] temperament tempering it out gives the 5-limit version of [[Gamelismic clan #Miracle\|miracle temperament]]. The Ampersand's comma was named after [[Paul Rapoport]]'s cat, Ampersand.		The '''ampersand''', or '''Ampersand's [[comma]]''', is the interval of '''34171875/33554432''' of size 31.567 [[cent]]s. It is the amount by which six [[16/15\|classic diatonic semitones (16/15)]] fall short of a fifth; that is, (3/2)/(16/15)<sup>6</sup>. The [[5-limit]] temperament tempering it out gives the 5-limit version of [[Gamelismic clan #Miracle\|miracle temperament]]. The Ampersand's comma was named after [[Paul Rapoport]]'s cat, Ampersand.

Plumtree: Normalising usage of Infobox Interval

2022-10-25T17:28:21Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 17:28, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| JI glyph =~~
	\| Ratio = 34171875/33554432		\| Ratio = 34171875/33554432
	~~\| Monzo = -25 7 6~~
	~~\| Cents = 31.567~~
	\| Name = ampersand		\| Name = ampersand
	\| ~~Color name =~~		\| Comma = yes
	~~\| FJS name =~~
	~~\| Sound~~ =
	}}		}}

	The '''ampersand''', or '''Ampersand's [[comma]]''', is the interval of '''34171875/33554432''' of size 31.567 [[cent]]s. It is the amount by which six [[16/15\|classic diatonic semitones (16/15)]] fall short of a fifth; that is, (3/2)/(16/15)<sup>6</sup>. The [[5-limit]] temperament tempering it out gives the 5-limit version of [[Gamelismic clan #Miracle\|miracle temperament]]. The Ampersand's comma was named after [[Paul Rapoport]]'s cat, Ampersand.		The '''ampersand''', or '''Ampersand's [[comma]]''', is the interval of '''34171875/33554432''' of size 31.567 [[cent]]s. It is the amount by which six [[16/15\|classic diatonic semitones (16/15)]] fall short of a fifth; that is, (3/2)/(16/15)<sup>6</sup>. The [[5-limit]] temperament tempering it out gives the 5-limit version of [[Gamelismic clan #Miracle\|miracle temperament]]. The Ampersand's comma was named after [[Paul Rapoport]]'s cat, Ampersand.

	~~[[Category:5-limit]]~~
	~~[[Category:Small commas]]~~
	~~[[Category:Medium commas]]~~