1521/1520 - Revision history

VectorGraphics at 01:51, 13 November 2025

2025-11-13T01:51:42Z

← Older revision		Revision as of 01:51, 13 November 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Name = pinkanberry		\| Name = pinkanberry comma
	\| Color name = 19u3oog1, nuthothogu 1sn		\| Color name = 19u3oog1, nuthothogu 1sn
	\| Comma = yes		\| Comma = yes
	}}		}}

	'''1521/1520''', the '''pinkanberry''', is an [[unnoticeable comma\|unnoticeable]] [[19-limit]] (also 2.3.5.13.19 [[subgroup]]) [[comma]] and [[19-odd-limit]] [[essential tempering comma]]. It is the amount by which a stack consisting of [[13/10]] and [[9/8]] exceeds [[19/13]]. It is also the difference between [[39/38]] and [[40/39]], as well as other relations detailed in the next section.		'''1521/1520''', the '''pinkanberry comma''' or simply '''pinkanberry''' is an [[unnoticeable comma\|unnoticeable]] [[19-limit]] (also 2.3.5.13.19 [[subgroup]]) [[comma]] and [[19-odd-limit]] [[essential tempering comma]]. It is the amount by which a stack consisting of [[13/10]] and [[9/8]] exceeds [[19/13]]. It is also the difference between [[39/38]] and [[40/39]], as well as other relations detailed in the next section.

	== Commatic relations ==		== Commatic relations ==
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	== Etymology ==		== Etymology ==
	This comma is named for the fact that tempering out both 676/675 and 1216/1215 defines the [[The Archipelago #Pinkan\|pinkan]] temperament, making the tempering of 1521/1520 its most prominent "fruit".		This comma is named ''pinkanberry'' for the fact that tempering out both 676/675 and 1216/1215 defines the [[The Archipelago #Pinkan\|pinkan]] temperament, making the tempering of 1521/1520 its most prominent "fruit". ''Pinkanberry comma'' is proposed for the fact that the corresponding essentially tempered chords page is "[[pinkanberry chords]]", which is usually named after the temperament tempering the comma out.

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

Xenllium at 10:38, 23 February 2025

2025-02-23T10:38:04Z

← Older revision		Revision as of 10:38, 23 February 2025
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	* [[1540/1539]] and [[123201/123200]]		* [[1540/1539]] and [[123201/123200]]

	<nowiki/>* relation within the 2.3.5.13.19 subgroup		<nowiki>*</nowiki> relation within the 2.3.5.13.19 subgroup

	== Temperaments ==		== Temperaments ==
	Tempering out this comma enables ~~'''~~pinkanberry chords~~'''~~, and ~~edos~~ that support these include {{~~EDOs~~\| 24, 27, 53, 77, 80, 84, 104c, 111, 130, 137, 140, 164, 190, 217, 243, 270, 323, 407, 460, and 513 }}.		Tempering out this comma enables [[pinkanberry chords]], and EDOs that support these include {{Optimal ET sequence\| 24, 27, 53, 77, 80, 84, 104c, 111, 130, 137, 140, 164, 190, 217, 243, 270, 323, 407, 460, and 513 }}.

	== Etymology ==		== Etymology ==

FloraC: +a pump based on the essentially tempered triad

2024-12-11T11:07:41Z

+a pump based on the essentially tempered triad

← Older revision		Revision as of 11:07, 11 December 2024
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	}}		}}

	'''1521/1520''', the '''pinkanberry''', is an [[~~Unnoticeable~~ comma\|unnoticeable]] [[19-limit]] (also 2.3.5.13.19 [[subgroup]]) [[comma]] and [[19-odd-limit]] [[~~Essential tempering commas\|~~essential tempering comma]]. It is the difference between [[39/38]] and [[40/39]], as well as other relations detailed in the next section.		'''1521/1520''', the '''pinkanberry''', is an [[unnoticeable comma\|unnoticeable]] [[19-limit]] (also 2.3.5.13.19 [[subgroup]]) [[comma]] and [[19-odd-limit]] [[essential tempering comma]]. It is the amount by which a stack consisting of [[13/10]] and [[9/8]] exceeds [[19/13]]. It is also the difference between [[39/38]] and [[40/39]], as well as other relations detailed in the next section.

	== Commatic relations ==		== Commatic relations ==

FloraC at 10:40, 11 December 2024

2024-12-11T10:40:46Z

← Older revision		Revision as of 10:40, 11 December 2024
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	* [[169/168]] and [[190/189]]		* [[169/168]] and [[190/189]]
	* [[351/350]] and [[456/455]]		* [[351/350]] and [[456/455]]
	* [[676/675]] and [[1216/1215]] ~~(both of these commas are also within the 2.3.5.13.19 subgroup, while most others listed here are not)~~		* [[676/675]] and [[1216/1215]] *
	* [[936/935]] and [[2432/2431]]		* [[936/935]] and [[2432/2431]]
	* [[1001/1000]] and [[2926/2925]]		* [[1001/1000]] and [[2926/2925]]
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	* [[1701/1700]] and [[14365/14364]]		* [[1701/1700]] and [[14365/14364]]
	* [[1540/1539]] and [[123201/123200]]		* [[1540/1539]] and [[123201/123200]]

			<nowiki/>* relation within the 2.3.5.13.19 subgroup

	== Temperaments ==		== Temperaments ==

BudjarnLambeth at 02:17, 16 November 2024

2024-11-16T02:17:42Z

← Older revision		Revision as of 02:17, 16 November 2024
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	[[Category:Pinkanberry]]		[[Category:Pinkanberry]]
			[[Category:Commas named for other reasons]]

Godtone: /* Commatic relations */ clarify

2024-05-10T21:13:06Z

Commatic relations: clarify

← Older revision		Revision as of 21:13, 10 May 2024
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	* [[169/168]] and [[190/189]]		* [[169/168]] and [[190/189]]
	* [[351/350]] and [[456/455]]		* [[351/350]] and [[456/455]]
	* [[676/675]] and [[1216/1215]] *		* [[676/675]] and [[1216/1215]] (both of these commas are also within the 2.3.5.13.19 subgroup, while most others listed here are not)
	* [[936/935]] and [[2432/2431]]		* [[936/935]] and [[2432/2431]]
	* [[1001/1000]] and [[2926/2925]]		* [[1001/1000]] and [[2926/2925]]
	* [[1331/1330]] and [[10648/10647]]		* [[1331/1330]] and [[10648/10647]]
	* [[1445/1444]] and [[28900/28899]]		* [[1445/1444]] and [[28900/28899]]
	~~<nowiki>*</nowiki> all is within the 2.3.5.13.19 subgroup~~

	It factors into the following superparticular pairs:		It factors into the following superparticular pairs:

Dummy index: /* Commatic relations */ mark the subgroup-strict decomposition ((39/38)/(40/39) is obvious)

2024-05-10T16:30:46Z

Commatic relations: mark the subgroup-strict decomposition ((39/38)/(40/39) is obvious)

← Older revision		Revision as of 16:30, 10 May 2024
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	* [[169/168]] and [[190/189]]		* [[169/168]] and [[190/189]]
	* [[351/350]] and [[456/455]]		* [[351/350]] and [[456/455]]
	* [[676/675]] and [[1216/1215]]		* [[676/675]] and [[1216/1215]] *
	* [[936/935]] and [[2432/2431]]		* [[936/935]] and [[2432/2431]]
	* [[1001/1000]] and [[2926/2925]]		* [[1001/1000]] and [[2926/2925]]
	* [[1331/1330]] and [[10648/10647]]		* [[1331/1330]] and [[10648/10647]]
	* [[1445/1444]] and [[28900/28899]]		* [[1445/1444]] and [[28900/28899]]
			<nowiki>*</nowiki> all is within the 2.3.5.13.19 subgroup

	It factors into the following superparticular pairs:		It factors into the following superparticular pairs:

Godtone: /* Temperaments */

2024-04-23T23:20:31Z

Temperaments

← Older revision		Revision as of 23:20, 23 April 2024
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	== Temperaments ==		== Temperaments ==
	Tempering out this comma enables '''pinkanberry chords''', and edos that support these include {{EDOs\| 24, 27, 53, 77, 80, 84, 111, 130, 137, 140, 164, 190, 217, 243, 270, 323, 407, 460, and 513 }}.		Tempering out this comma enables '''pinkanberry chords''', and edos that support these include {{EDOs\| 24, 27, 53, 77, 80, 84, 104c, 111, 130, 137, 140, 164, 190, 217, 243, 270, 323, 407, 460, and 513 }}.

	== Etymology ==		== Etymology ==

Godtone: /* Temperaments */

2024-04-23T23:14:19Z

Temperaments

← Older revision		Revision as of 23:14, 23 April 2024
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	== Temperaments ==		== Temperaments ==
	Tempering out this comma enables '''pinkanberry chords''', and edos that support these include {{EDOs\| 24, 27, 53, 77, 80, 84, 111, 130, 137, 164, 190, 217, 243, 270, 323, 407, 460, and 513 }}.		Tempering out this comma enables '''pinkanberry chords''', and edos that support these include {{EDOs\| 24, 27, 53, 77, 80, 84, 111, 130, 137, 140, 164, 190, 217, 243, 270, 323, 407, 460, and 513 }}.

	== Etymology ==		== Etymology ==

Godtone: /* Temperaments */

2024-04-23T23:13:00Z

Temperaments

← Older revision		Revision as of 23:13, 23 April 2024
Line 26:		Line 26:

	== Temperaments ==		== Temperaments ==
	Tempering out this comma enables '''pinkanberry chords''', and edos that support these include {{EDOs\| 24, 27, 53, 77, 84, 111, 130, 137, 164, 190, 217, 243, 270, 323, 407, 460, and 513 }}.		Tempering out this comma enables '''pinkanberry chords''', and edos that support these include {{EDOs\| 24, 27, 53, 77, 80, 84, 111, 130, 137, 164, 190, 217, 243, 270, 323, 407, 460, and 513 }}.

	== Etymology ==		== Etymology ==