676/675 - Revision history

Godtone: link

2026-06-04T18:34:51Z

link

← Older revision		Revision as of 18:34, 4 June 2026
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	}}		}}

	'''676/675''', otherwise known as the '''island comma''', or the '''parizekma''', is the difference between two [[15/13]]'s and a [[4/3]] perfect fourth, and also between [[26/25]] and [[27/26]]. Tempering this comma out divides the perfect fourth into two equal halves, making [[island chords]] possible.		'''676/675''', otherwise known as the '''island comma''', or the '''parizekma''', is the difference between two [[15/13]]'s and a [[4/3]] perfect fourth (from which its S-expression of [[169/168\|S13]]/[[225/224\|S15]] = (16/12)/(15/13)<sup>2</sup> is derived), and also between [[26/25]] and [[27/26]] (from which its [[S-expression]] of S26 is derived). Tempering this comma out divides the perfect fourth into two equal halves, making [[island chords]] possible.

			== Temperaments ==
			See [[The Archipelago]] for the "rag-tag collection of various regular temperaments of different ranks, including subgroup temperaments" associated with tempering out this comma, and [[Island chords]] for chords making use of the resulting structure.

	== Etymology ==		== Etymology ==
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	== See also ==		== See also ==
	* [[~~Island chords]]~~		* [[Semifourth]]
	* [[The Archipelago]]
	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

2025-01-03T23:34:02Z

← Older revision		Revision as of 23:34, 3 January 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Name = island comma, ~~parizeksma~~		\| Name = island comma, parizekma
	\| Color name = 3oogg2, bithogu 2nd,<br>Bithogu comma		\| Color name = 3oogg2, bithogu 2nd,<br>Bithogu comma
	\| Comma = yes		\| Comma = yes
	}}		}}

	'''676/675''', otherwise known as the '''island comma''', or the '''~~parizeksma~~''', is the difference between two [[15/13]]'s and a [[4/3]] perfect fourth, and also between [[26/25]] and [[27/26]]. Tempering this comma out divides the perfect fourth into two equal halves, making [[island chords]] possible.		'''676/675''', otherwise known as the '''island comma''', or the '''parizekma''', is the difference between two [[15/13]]'s and a [[4/3]] perfect fourth, and also between [[26/25]] and [[27/26]]. Tempering this comma out divides the perfect fourth into two equal halves, making [[island chords]] possible.

	== Etymology ==		== Etymology ==

2024-11-04T03:11:20Z

← Older revision		Revision as of 03:11, 4 November 2024
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	[[Category:Island]]		[[Category:Island]]
			[[Category:Commas named for their regular temperament properties]]

2023-07-20T06:19:32Z

Naming

← Older revision		Revision as of 06:19, 20 July 2023
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	'''676/675''', otherwise known as the '''island comma''', or the '''parizeksma''', is the difference between two [[15/13]]'s and a [[4/3]] perfect fourth, and also between [[26/25]] and [[27/26]]. Tempering this comma out divides the perfect fourth into two equal halves, making [[island chords]] possible.		'''676/675''', otherwise known as the '''island comma''', or the '''parizeksma''', is the difference between two [[15/13]]'s and a [[4/3]] perfect fourth, and also between [[26/25]] and [[27/26]]. Tempering this comma out divides the perfect fourth into two equal halves, making [[island chords]] possible.

			== Etymology ==
			The name ''island comma'' was given by [[Mike Battaglia]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95448.html#95608 Yahoo! Tuning Group \| ''Parizekmic temperament?'']</ref>.

			<blockquote>
			The 9-note MOS sounds like you're on some kind of tropical island off the coast of Barbados playing jubilant sun-music with the natives or something. More specifically, I feel like it takes the "island" feel of 5-equal and expands it out into diatonic and chromatic versions.
			</blockquote>
			—Mike Battaglia

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

			== Notes ==

	[[Category:Island]]		[[Category:Island]]

2023-07-13T06:53:59Z

This itself isn't an interseptimal interval

← Older revision		Revision as of 06:53, 13 July 2023
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	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

	~~[[Category:Interseptimal intervals]]~~
	[[Category:Island]]		[[Category:Island]]

2023-04-28T03:27:04Z

← Older revision		Revision as of 03:27, 28 April 2023
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	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

	[[Category:Interseptimal]]		[[Category:Interseptimal intervals]]
	[[Category:Island]]		[[Category:Island]]

2023-01-14T07:23:54Z

← Older revision		Revision as of 07:23, 14 January 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = island comma, parizeksma		\| Name = island comma, parizeksma
	\| Color name = Bithogu		\| Color name = 3oogg2, bithogu 2nd,<br>Bithogu comma
	\| Comma = yes		\| Comma = yes
	}}		}}

2022-10-25T16:44:11Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 16:44, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~		\| Name = island comma, parizeksma
	~~\| Ratio = 676/675~~
	~~\| Monzo = 2 -3 -2 0 0 2~~
	~~\| Cents = 2.5628~~
	\| Name = island comma, ~~<br>~~ parizeksma
	\| Color name = Bithogu		\| Color name = Bithogu
	\| ~~FJS name = dd2<sup>169</sup><sub>25</sub>~~		\| Comma = yes
	~~\| Sound~~ =
	}}		}}

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	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

	~~[[Category:13-limit]]~~
	~~[[Category:Unnoticeable commas]]~~
	~~[[Category:Superparticular]]~~
	[[Category:Interseptimal]]		[[Category:Interseptimal]]
	[[Category:Island]]		[[Category:Island]]

2022-03-20T22:01:54Z

← Older revision		Revision as of 22:01, 20 March 2022
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	[[Category:13-limit]]		[[Category:13-limit]]
	[[Category:Unnoticeable ~~comma~~]]		[[Category:Unnoticeable commas]]
	[[Category:Superparticular]]		[[Category:Superparticular]]
	[[Category:Interseptimal]]		[[Category:Interseptimal]]
	[[Category:Island]]		[[Category:Island]]

2021-12-30T17:20:48Z

Update links

← Older revision		Revision as of 17:20, 30 December 2021
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	}}		}}

	'''676/675''', otherwise known as the '''island comma''', or the '''parizeksma''', is the difference between two [[15/13]]'s and a [[4/3]] perfect fourth, and also between [[26/25]] and [[27/26]]. Tempering this comma out divides the perfect fourth into two equal halves, making [[~~island tetrad\|~~island chords]] possible.		'''676/675''', otherwise known as the '''island comma''', or the '''parizeksma''', is the difference between two [[15/13]]'s and a [[4/3]] perfect fourth, and also between [[26/25]] and [[27/26]]. Tempering this comma out divides the perfect fourth into two equal halves, making [[island chords]] possible.

	== See also ==		== See also ==
	* [[Island ~~tetrad~~]]		* [[Island chords]]
	* [[The Archipelago]]		* [[The Archipelago]]
	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]