4131/4096 - Revision history

Fredg999: Clarify direction of deviation

2025-07-29T20:10:17Z

Clarify direction of deviation

← Older revision		Revision as of 20:10, 29 July 2025
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	\| Comma = yes		\| Comma = yes
	}}		}}
	'''4131/4096''', the '''septendecimal comma''' or '''Hunt flat 2 comma''', is a [[17-limit]] [[comma]] measuring about 14.7{{cent}}. It is the amount by which [[17/16]] ~~deviates from~~ [[256/243]].		'''4131/4096''', the '''septendecimal comma''' or '''Hunt flat 2 comma''', is a [[17-limit]] [[comma]] measuring about 14.7{{cent}}. It is the amount by which [[17/16]] exceeds [[256/243]].

	Besides the relationship above, it is also the difference between [[18/17]] and [[2187/2048]], between [[17/12]] and [[1024/729]], and their respective inverses. Furthermore, it and the septendecimal schisma [[2187/2176]] make a [[Pythagorean comma]].		Besides the relationship above, it is also the difference between [[18/17]] and [[2187/2048]], between [[17/12]] and [[1024/729]], and their respective inverses. Furthermore, it and the septendecimal schisma [[2187/2176]] make a [[Pythagorean comma]].

BudjarnLambeth at 00:25, 16 November 2024

2024-11-16T00:25:01Z

← Older revision		Revision as of 00:25, 16 November 2024
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	== See also ==		== See also ==
	* [[Small comma]]		* [[Small comma]]

			[[Category:Commas named for the intervals they stack]]

Dave Keenan: Added sagittal section

2024-10-16T12:09:25Z

Added sagittal section

← Older revision		Revision as of 12:09, 16 October 2024
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	The septendecimal comma is significant in the [[Functional Just System]] as the 17-limit formal comma which translates a Pythagorean interval to a nearby septendecimal interval. Consequently, 17/16 is represented as a minor second. In the 2020 version of [[Helmholtz-Ellis notation]], however, that role is taken by [[2187/2176]], so 17/16 is represented as an augmented unison.		The septendecimal comma is significant in the [[Functional Just System]] as the 17-limit formal comma which translates a Pythagorean interval to a nearby septendecimal interval. Consequently, 17/16 is represented as a minor second. In the 2020 version of [[Helmholtz-Ellis notation]], however, that role is taken by [[2187/2176]], so 17/16 is represented as an augmented unison.

			== Sagittal notation ==
			In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal \| ~\|( }} and is called the '''17 comma''', or '''17C''' for short, because the simplest interval it notates is 17/1 (equiv. 17/16), as for example in E-F{{nbhsp}}{{sagittal \| ~\|( }}. The downward version is called '''1/17C''' or '''17C down''' and is represented by {{sagittal\| ~!( }}.

	== See also ==		== See also ==
	* [[Small comma]]		* [[Small comma]]

Kaiveran at 18:58, 31 May 2023

2023-05-31T18:58:23Z

← Older revision		Revision as of 18:58, 31 May 2023
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	Besides the relationship above, it is also the difference between [[18/17]] and [[2187/2048]], between [[17/12]] and [[1024/729]], and their respective inverses. Furthermore, it and the septendecimal schisma [[2187/2176]] make a [[Pythagorean comma]].		Besides the relationship above, it is also the difference between [[18/17]] and [[2187/2048]], between [[17/12]] and [[1024/729]], and their respective inverses. Furthermore, it and the septendecimal schisma [[2187/2176]] make a [[Pythagorean comma]].

	The septendecimal comma is significant in the [[Functional Just System]] as the 17-limit formal comma which translates a Pythagorean interval to a nearby septendecimal interval. Consequently, 17/16 is represented as a minor second. In the 2020 version of [[Helmholtz-Ellis notation]], however, that role is taken by 2187/2176, so 17/16 is represented as an augmented unison.		The septendecimal comma is significant in the [[Functional Just System]] as the 17-limit formal comma which translates a Pythagorean interval to a nearby septendecimal interval. Consequently, 17/16 is represented as a minor second. In the 2020 version of [[Helmholtz-Ellis notation]], however, that role is taken by [[2187/2176]], so 17/16 is represented as an augmented unison.

	== See also ==		== See also ==
	* [[Small comma]]		* [[Small comma]]

Kaiveran at 18:57, 31 May 2023

2023-05-31T18:57:56Z

← Older revision		Revision as of 18:57, 31 May 2023
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	Besides the relationship above, it is also the difference between [[18/17]] and [[2187/2048]], between [[17/12]] and [[1024/729]], and their respective inverses. Furthermore, it and the septendecimal schisma [[2187/2176]] make a [[Pythagorean comma]].		Besides the relationship above, it is also the difference between [[18/17]] and [[2187/2048]], between [[17/12]] and [[1024/729]], and their respective inverses. Furthermore, it and the septendecimal schisma [[2187/2176]] make a [[Pythagorean comma]].

	The septendecimal comma is significant in the [[Functional Just System]] as the 17-limit formal comma which translates a Pythagorean interval to a nearby septendecimal interval. Consequently, 17/16 is represented as a minor second. In [[Helmholtz-Ellis notation]] ~~(2020 version)~~, however, that role is taken by 2187/2176, so 17/16 is represented as an augmented unison.		The septendecimal comma is significant in the [[Functional Just System]] as the 17-limit formal comma which translates a Pythagorean interval to a nearby septendecimal interval. Consequently, 17/16 is represented as a minor second. In the 2020 version of [[Helmholtz-Ellis notation]], however, that role is taken by 2187/2176, so 17/16 is represented as an augmented unison.

	== See also ==		== See also ==
	* [[Small comma]]		* [[Small comma]]

TallKite at 21:43, 11 January 2023

2023-01-11T21:43:10Z

← Older revision		Revision as of 21:43, 11 January 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = septendecimal comma		\| Name = septendecimal comma
	\| Color name = L17o1, Laso comma		\| Color name = L17o1, laso 1sn,<br>Laso comma
	\| Comma = yes		\| Comma = yes
	}}		}}

TallKite: added color name

2022-12-29T02:47:28Z

added color name

← Older revision		Revision as of 02:47, 29 December 2022
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	{{Infobox Interval		{{Infobox Interval
	\| Name = septendecimal comma		\| Name = septendecimal comma
			\| Color name = L17o1, Laso comma
	\| Comma = yes		\| Comma = yes
	}}		}}

Plumtree: Normalising usage of Infobox Interval

2022-10-25T15:45:57Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 15:45, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 4131/4096~~
	~~\| Monzo = -12 5 0 0 0 0 1~~
	~~\| Cents = 14.73041~~
	\| Name = septendecimal comma		\| Name = septendecimal comma
	\| ~~Color name =~~		\| Comma = yes
	~~\| FJS name = P1<sup>17</sup>~~
	~~\| Sound~~ =
	}}		}}
	'''4131/4096''', the '''septendecimal comma''' or '''Hunt flat 2 comma''', is a [[17-limit]] [[comma]] measuring about 14.7{{cent}}. It is the amount by which [[17/16]] deviates from [[256/243]].		'''4131/4096''', the '''septendecimal comma''' or '''Hunt flat 2 comma''', is a [[17-limit]] [[comma]] measuring about 14.7{{cent}}. It is the amount by which [[17/16]] deviates from [[256/243]].
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	== See also ==		== See also ==
	* [[Small comma]]		* [[Small comma]]

	~~[[Category:17-limit]]~~
	~~[[Category:Small commas]]~~

	~~{{todo\|add color name}}~~

Fredg999: Misc. edits, categories

2022-04-12T21:27:11Z

Misc. edits, categories

← Older revision		Revision as of 21:27, 12 April 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| JI glyph =~~
	\| Ratio = 4131/4096		\| Ratio = 4131/4096
	\| Monzo = -12 5 0 0 0 0 1		\| Monzo = -12 5 0 0 0 0 1
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	\| Sound =		\| Sound =
	}}		}}
			'''4131/4096''', the '''septendecimal comma''' or '''Hunt flat 2 comma''', is a [[17-limit]] [[comma]] measuring about 14.7{{cent}}. It is the amount by which [[17/16]] deviates from [[256/243]].
	~~The~~ '''septendecimal comma''' or '''Hunt flat 2 comma~~''', '''4131/4096~~''', is a [[17-limit]] [[comma]] measuring about 14.7 ~~cents~~. It is the amount by which [[17/16]] deviates from [[256/243]].

	Besides the relationship above, it is also the difference between [[18/17]] and [[2187/2048]], between [[17/12]] and [[1024/729]], and their respective inverses. Furthermore, it and the septendecimal schisma [[2187/2176]] make a [[Pythagorean comma]].		Besides the relationship above, it is also the difference between [[18/17]] and [[2187/2048]], between [[17/12]] and [[1024/729]], and their respective inverses. Furthermore, it and the septendecimal schisma [[2187/2176]] make a [[Pythagorean comma]].

	The septendecimal comma is significant in [[Functional Just System]] as the 17-limit formal comma which translates a Pythagorean interval to a nearby septendecimal interval. Consequently, 17/16 is represented as a minor second. In [[Helmholtz-Ellis notation]] (2020 version), however, that role is taken by 2187/2176, so 17/16 is represented as an augmented unison.		The septendecimal comma is significant in the [[Functional Just System]] as the 17-limit formal comma which translates a Pythagorean interval to a nearby septendecimal interval. Consequently, 17/16 is represented as a minor second. In [[Helmholtz-Ellis notation]] (2020 version), however, that role is taken by 2187/2176, so 17/16 is represented as an augmented unison.

	== See also ==		== See also ==
	* [[~~Comma~~]]		* [[Small comma]]

	[[Category:17-limit]]		[[Category:17-limit]]
	[[Category:Small commas]]		[[Category:Small commas]]
	~~[[Category:Ratio]]~~
			{{todo\|add color name}}

Fredg999 category edits: Moving from Category:Small comma to Category:Small commas using Cat-a-lot

2022-03-20T21:59:56Z

Moving from Category:Small comma to Category:Small commas using Cat-a-lot

← Older revision		Revision as of 21:59, 20 March 2022
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	[[Category:17-limit]]		[[Category:17-limit]]
	[[Category:Small ~~comma~~]]		[[Category:Small commas]]
	[[Category:Ratio]]		[[Category:Ratio]]