1701/1700 - Revision history

FloraC: Improve intro

2026-03-28T12:17:43Z

Improve intro

← Older revision		Revision as of 12:17, 28 March 2026
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	\| Comma = yes		\| Comma = yes
	}}		}}
	'''1701/1700''', the '''palingenetic comma''', also known as the '''palingenesis''', or '''palingenesma''', is a [[17-limit]] [[~~unnoticeable~~ comma]] with a size of roughly 1.02 ~~cents~~. It identifies the [[21/17\|septendecimal submajor third (21/17)]] by a stack of two [[10/9]] intervals, therefore making it comparable with the [[325/324\|marveltwin (325/324)]]. It is, in fact, the difference between the ~~tannisma~~ and the ~~marveltwin~~. See [[#Commatic relations]] below. It also arises as the amount by which a stack consisting of [[27/16]] and [[28/25]] exceeds [[17/9]], and as the difference between [[63/50]] and [[34/27]].		'''1701/1700''', the '''palingenetic comma''', also known as the '''palingenesis''' or '''palingenesma''', is an [[unnoticeable comma\|unnoticeable]] [[17-limit]] [[comma]] with a size of roughly 1.02 [[cent]]s. It identifies the [[21/17\|septendecimal submajor third (21/17)]] by a stack of two [[10/9]] intervals, therefore making it comparable with the [[325/324\|marveltwin (325/324)]]. It is, in fact, the difference between the marveltwin and the [[442/441\|tannisma]]. See [[#Commatic relations]] below. It also arises as the amount by which a stack consisting of [[27/16]] and [[28/25]] exceeds [[17/9]], and as the difference between [[63/50]] and [[34/27]].

	In [[Sagittal notation]], it is the default comma represented by seven [[tina]]s.		In [[Sagittal notation]], it is the default comma represented by seven [[tina]]s.
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	== See also ==		== See also ==
	* [[Unnoticeable comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

	[[Category:Palingenetic]]		[[Category:Palingenetic]]
	[[Category:Commas named by translating something into another language]]		[[Category:Commas named by translating something into another language]]

FloraC: + data

2026-03-28T12:15:35Z

+ data

@@ Line 4: / Line 4: @@
 | Comma = yes
 }}
 '''1701/1700''', the '''palingenetic comma''', also known as the '''palingenesis''', or '''palingenesma''', is a [[17-limit]] [[unnoticeable comma]] with a size of roughly 1.02 cents. It identifies the [[21/17|septendecimal submajor third (21/17)]] by a stack of two [[10/9]] intervals, therefore making it comparable with the [[325/324|marveltwin (325/324)]]. It is, in fact, the difference between the tannisma and the marveltwin. See [[#Commatic relations]] below. It also arises as the amount by which a stack consisting of [[27/16]] and [[28/25]] exceeds [[17/9]], and as the difference between [[63/50]] and [[34/27]].
@@ Line 29: / Line 28: @@
 * [[1716/1715]] and [[194481/194480]]
-<nowiki>*</nowiki> both of these commas are also within the 2.3.5.7.17 subgroup.
+<nowiki/>* both of these commas are also within the 2.3.5.7.17 subgroup.
 == Temperaments ==
-When tempered out in the full 17-limit, the resulting temperament is called the '''palingenetic temperament''', or in the 2.3.5.7.17 subgroup, the '''palingenetian temperament'''. Both are characterized by the presence of [[Dyadic chord|essentially tempered chord]]s called [[palingenetic chords]] in the [[21-odd-limit|21-]] and [[27-odd-limit]].
+When tempered out in the full 17-limit, the resulting temperament is called the '''palingenetic''' temperament, or in the 2.3.5.7.17 subgroup, the '''palingenetian''' temperament. Both are characterized by the presence of [[essentially tempered chord]]s called [[palingenetic chords]] in the [[21-odd-limit|21-]] and [[27-odd-limit]].
 == Etymology ==

Lucius Chiaraviglio: Also is the difference between 63/50 and 34/27.

2025-12-29T09:37:34Z

Also is the difference between 63/50 and 34/27.

← Older revision		Revision as of 09:37, 29 December 2025
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	}}		}}

	'''1701/1700''', the '''palingenetic comma''', also known as the '''palingenesis''', or '''palingenesma''', is a [[17-limit]] [[unnoticeable comma]] with a size of roughly 1.02 cents. It identifies the [[21/17\|septendecimal submajor third (21/17)]] by a stack of two [[10/9]] intervals, therefore making it comparable with the [[325/324\|marveltwin (325/324)]]. It is, in fact, the difference between the tannisma and the marveltwin. See [[#Commatic relations]] below. It also arises as the amount by which a stack consisting of [[27/16]] and [[28/25]] exceeds [[17/9]].		'''1701/1700''', the '''palingenetic comma''', also known as the '''palingenesis''', or '''palingenesma''', is a [[17-limit]] [[unnoticeable comma]] with a size of roughly 1.02 cents. It identifies the [[21/17\|septendecimal submajor third (21/17)]] by a stack of two [[10/9]] intervals, therefore making it comparable with the [[325/324\|marveltwin (325/324)]]. It is, in fact, the difference between the tannisma and the marveltwin. See [[#Commatic relations]] below. It also arises as the amount by which a stack consisting of [[27/16]] and [[28/25]] exceeds [[17/9]], and as the difference between [[63/50]] and [[34/27]].

	In [[Sagittal notation]], it is the default comma represented by seven [[tina]]s.		In [[Sagittal notation]], it is the default comma represented by seven [[tina]]s.

BudjarnLambeth at 01:57, 16 November 2024

2024-11-16T01:57:01Z

← Older revision		Revision as of 01:57, 16 November 2024
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	[[Category:Palingenetic]]		[[Category:Palingenetic]]
			[[Category:Commas named by translating something into another language]]

Dummy index: /* Commatic relations */ complete list within the 17-llimit

2024-05-11T13:15:33Z

Commatic relations: complete list within the 17-llimit

← Older revision		Revision as of 13:15, 11 May 2024
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	* [[351/350]] and [[442/441]]		* [[351/350]] and [[442/441]]
	* [[441/440]] and [[595/594]]		* [[441/440]] and [[595/594]]
			* [[729/728]] and [[1275/1274]]
	* [[936/935]] and [[2080/2079]]		* [[936/935]] and [[2080/2079]]
			* [[1001/1000]] and [[2431/2430]]
	* [[1089/1088]] and [[3025/3024]]		* [[1089/1088]] and [[3025/3024]]
	* [[1225/1224]] and [[4375/4374]] *		* [[1225/1224]] and [[4375/4374]] *

Dummy index: /* Commatic relations */ mark the subgroup-strict decomposition

2024-05-11T12:34:17Z

Commatic relations: mark the subgroup-strict decomposition

← Older revision		Revision as of 12:34, 11 May 2024
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	This comma is the difference between the following superparticular pairs:		This comma is the difference between the following superparticular pairs:

	* [[81/80]] and [[85/84]]		* [[81/80]] and [[85/84]] *
	* [[126/125]] and [[136/135]]		* [[126/125]] and [[136/135]] *
	* [[273/272]] and [[325/324]]		* [[273/272]] and [[325/324]]
	* [[351/350]] and [[442/441]]		* [[351/350]] and [[442/441]]
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	* [[936/935]] and [[2080/2079]]		* [[936/935]] and [[2080/2079]]
	* [[1089/1088]] and [[3025/3024]]		* [[1089/1088]] and [[3025/3024]]
	* [[1225/1224]] and [[4375/4374]]		* [[1225/1224]] and [[4375/4374]] *

	It factors into the following superparticular pairs:		It factors into the following superparticular pairs:
	* [[2601/2600]] and [[4914/4913]]		* [[2601/2600]] and [[4914/4913]]
	* [[2401/2400]] and [[5832/5831]]		* [[2401/2400]] and [[5832/5831]] *
	* [[2058/2057]] and [[9801/9800]]		* [[2058/2057]] and [[9801/9800]]
	* [[1716/1715]] and [[194481/194480]]		* [[1716/1715]] and [[194481/194480]]

			<nowiki>*</nowiki> both of these commas are also within the 2.3.5.7.17 subgroup.

	== Temperaments ==		== Temperaments ==

Francium: Added color name

2023-09-07T13:10:24Z

Added color name

← Older revision		Revision as of 13:10, 7 September 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = palingenetic comma, palingenesis, palingenesma		\| Name = palingenetic comma, palingenesis, palingenesma
			\| Color name = 17uzgg1, suzogugu unison
	\| Comma = yes		\| Comma = yes
	}}		}}

FloraC: Rework

2023-05-23T07:41:39Z

Rework

← Older revision		Revision as of 07:41, 23 May 2023
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	== Temperaments ==		== Temperaments ==
	When tempered out in ~~a linearly independent fashion~~, the resulting ~~temperaments are~~ called '''palingenetic ~~temperaments~~''', ~~and~~ are characterized by the presence of [[Dyadic chord\|essentially tempered chord]]s called [[palingenetic chords]] in the [[27-odd-limit]].		When tempered out in the full 17-limit, the resulting temperament is called the '''palingenetic temperament''', or in the 2.3.5.7.17 subgroup, the '''palingenetian temperament'''. Both are characterized by the presence of [[Dyadic chord\|essentially tempered chord]]s called [[palingenetic chords]] in the [[21-odd-limit\|21-]] and [[27-odd-limit]].

	== Etymology ==		== Etymology ==
	This comma's names ultimately come from the Ancient Greek word "palingenesía" (~~meaning~~ "rebirth", "regeneration" or "renaissance"~~<ref>[[Wiktionary: palingenesis #English]]</ref>~~), a fitting name since people often hope for a new start after each year. The name is also appropriate in light of how certain essentially tempered chords generated by this comma are evocative of the kinds of chords heard in [[12edo]], which, oddly enough, actually tempers out this comma.		This comma was named by [[Aura]] in 2020. Its names ultimately come from the Ancient Greek word [[Wiktionary: palingenesis #English\|''palingenesía'']] ("rebirth", "regeneration" or "renaissance"), a fitting name since people often hope for a new start after each year. The name is also appropriate in light of how certain essentially tempered chords generated by this comma are evocative of the kinds of chords heard in [[12edo]], which, oddly enough, actually tempers out this comma.

	== See also ==		== See also ==
	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

	~~== References ==~~
	~~<references/>~~

	[[Category:Palingenetic]]		[[Category:Palingenetic]]

FloraC: "Palingenesis" (without "comma")

2022-11-14T16:15:16Z

"Palingenesis" (without "comma")

← Older revision		Revision as of 16:15, 14 November 2022
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	{{Infobox Interval		{{Infobox Interval
	\| Name = palingenetic comma, palingenesis ~~comma~~, palingenesma		\| Name = palingenetic comma, palingenesis, palingenesma
	\| Comma = yes		\| Comma = yes
	}}		}}

	'''1701/1700''', the '''palingenetic comma''', also known as the '''palingenesis ~~comma~~''', or '''palingenesma''', is a [[17-limit]] [[unnoticeable comma]] with a size of roughly 1.02 cents. It identifies the [[21/17\|septendecimal submajor third (21/17)]] by a stack of two [[10/9]] intervals, therefore making it comparable with the [[325/324\|marveltwin (325/324)]]. It is, in fact, the difference between the tannisma and the marveltwin. See [[#Commatic relations]] below. It also arises as the amount by which a stack consisting of [[27/16]] and [[28/25]] exceeds [[17/9]].		'''1701/1700''', the '''palingenetic comma''', also known as the '''palingenesis''', or '''palingenesma''', is a [[17-limit]] [[unnoticeable comma]] with a size of roughly 1.02 cents. It identifies the [[21/17\|septendecimal submajor third (21/17)]] by a stack of two [[10/9]] intervals, therefore making it comparable with the [[325/324\|marveltwin (325/324)]]. It is, in fact, the difference between the tannisma and the marveltwin. See [[#Commatic relations]] below. It also arises as the amount by which a stack consisting of [[27/16]] and [[28/25]] exceeds [[17/9]].

	In [[Sagittal notation]], it is the default comma represented by seven [[tina]]s.		In [[Sagittal notation]], it is the default comma represented by seven [[tina]]s.

FloraC: Hopefully this improves readability

2022-11-13T05:14:15Z

Hopefully this improves readability

← Older revision		Revision as of 05:14, 13 November 2022
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	This comma is the difference between the following superparticular pairs:		This comma is the difference between the following superparticular pairs:

	* ([[81/80]]~~)/(~~[[85/84]])		* [[81/80]] and [[85/84]]
	* ([[126/125]]~~)/(~~[[136/135]])		* [[126/125]] and [[136/135]]
	* ([[273/272]]~~)/(~~[[325/324]])		* [[273/272]] and [[325/324]]
	* ([[351/350]]~~)/(~~[[442/441]])		* [[351/350]] and [[442/441]]
	* ([[441/440]]~~)/(~~[[595/594]])		* [[441/440]] and [[595/594]]
	* ([[936/935]]~~)/(~~[[2080/2079]])		* [[936/935]] and [[2080/2079]]
	* ([[1089/1088]]~~)/(~~[[3025/3024]])		* [[1089/1088]] and [[3025/3024]]
	* ([[1225/1224]]~~)/(~~[[4375/4374]])		* [[1225/1224]] and [[4375/4374]]

	It factors into the following superparticular pairs:		It factors into the following superparticular pairs:
	* ([[2601/2600]])([[4914/4913]])		* [[2601/2600]] and [[4914/4913]]
	* ([[2401/2400]])([[5832/5831]])		* [[2401/2400]] and [[5832/5831]]
	* ([[2058/2057]])([[9801/9800]])		* [[2058/2057]] and [[9801/9800]]
	* ([[1716/1715]])([[194481/194480]])		* [[1716/1715]] and [[194481/194480]]

	== Temperaments ==		== Temperaments ==