2023edo - Revision history

FloraC: Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

2026-03-13T13:33:03Z

Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

← Older revision		Revision as of 13:33, 13 March 2026
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	\| [[Leaves]]		\| [[Leaves]]
	\|}		\|}
	<nowiki />* [[Normal ~~lists~~\|Octave-reduced form]], reduced to the first half-octave, and [[~~Normal lists~~\|minimal form]] in parentheses if distinct		<nowiki />* [[Normal forms #Equave-reduced-generator form\|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form\|minimal form]] in parentheses if distinct

	== Music ==		== Music ==

ArrowHead294 at 23:06, 20 February 2025

2025-02-20T23:06:10Z

← Older revision		Revision as of 23:06, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|2023~~}}		{{ED intro}}

	== Theory ==		== Theory ==

ArrowHead294 at 15:59, 15 January 2025

2025-01-15T15:59:05Z

← Older revision		Revision as of 15:59, 15 January 2025
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	\| [[Leaves]]		\| [[Leaves]]
	\|}		\|}
	<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if ~~it is~~ distinct		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if distinct

	== Music ==		== Music ==

ArrowHead294: Partial undo

2024-11-16T13:22:18Z

Partial undo

← Older revision		Revision as of 13:22, 16 November 2024
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	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	Note: 5-limit temperaments supported by 289edo are not included.		Note: 5-limit temperaments supported by 289edo are not included.
	{{rank-2 ~~begin}}~~		{\| class="wikitable center-all left-5"
			\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator
			\|-
			! Periods<br />per 8ve
			! Generator*
			! Cents*
			! Associated<br />ratio*
			! Temperaments
	\|-		\|-
	\| 17		\| 17
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	\| 1024/975<br />(8192/8125)		\| 1024/975<br />(8192/8125)
	\| [[Leaves]]		\| [[Leaves]]
	~~{{rank-2 end}~~}		\|}
	~~{{orf}}~~		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct

	== Music ==		== Music ==

ArrowHead294 at 01:25, 16 November 2024

2024-11-16T01:25:24Z

← Older revision		Revision as of 01:25, 16 November 2024
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	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	Note: 5-limit temperaments supported by 289edo are not included.		Note: 5-limit temperaments supported by 289edo are not included.
	{~~\| class="wikitable center~~-~~all left-5"~~		{{rank-2 begin}}
	\|-
	~~! Periods<br />per 8ve~~
	! Generator*
	! Cents*
	! Associated<br />Ratio*
	~~! Temperament~~
	\|-		\|-
	\| 17		\| 17
Line 31:		Line 25:
	\| 1024/975<br />(8192/8125)		\| 1024/975<br />(8192/8125)
	\| [[Leaves]]		\| [[Leaves]]
	\|}		{{rank-2 end}}
	{{orf}}		{{orf}}

ArrowHead294 at 00:44, 16 November 2024

2024-11-16T00:44:18Z

← Older revision		Revision as of 00:44, 16 November 2024
Line 19:		Line 19:
	Note: 5-limit temperaments supported by 289edo are not included.		Note: 5-limit temperaments supported by 289edo are not included.
	{\| class="wikitable center-all left-5"		{\| class="wikitable center-all left-5"
	! Periods<br>per 8ve		\|-
			! Periods<br />per 8ve
	! Generator*		! Generator*
	! Cents*		! Cents*
	! Associated<br>Ratio*		! Associated<br />Ratio*
	! Temperament		! Temperament
	\|-		\|-
	\| 17		\| 17
	\| 144\2023<br>(25\2023)		\| 144\2023<br />(25\2023)
	\| 85.417<br>(14.829)		\| 85.417<br />(14.829)
	\| 1024/975<br>(8192/8125)		\| 1024/975<br />(8192/8125)
	\| [[Leaves]]		\| [[Leaves]]
	\|}		\|}
	~~<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct~~		{{orf}}

	== Music ==		== Music ==

Francium: +categories

2024-02-13T18:31:40Z

+categories

← Older revision		Revision as of 18:31, 13 February 2024
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	; [[Eliora]]		; [[Eliora]]
	* [https://www.youtube.com/watch?v=8K2RYO_oCnM ''Bagatelle in 11/8♭ Leaves''] (2023)		* [https://www.youtube.com/watch?v=8K2RYO_oCnM ''Bagatelle in 11/8♭ Leaves''] (2023)

			[[Category:Listen]]

FloraC: Adopt template: Factorization

2023-10-30T11:36:37Z

Adopt template: Factorization

← Older revision		Revision as of 11:36, 30 October 2023
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 2023 factors as ~~7 × 17<sup>2</sup>~~, 2023edo has subset edos {{EDOs\| 7, 17, 119, and 289 }}.		Since 2023 factors as {{factorization\|2023}}, 2023edo has subset edos {{EDOs\| 7, 17, 119, and 289 }}.

	== Regular temperament properties ==		== Regular temperament properties ==
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	! Generator*		! Generator*
	! Cents*		! Cents*
	! Associated<br>Ratio		! Associated<br>Ratio*
	! Temperament		! Temperament
	\|-		\|-

FloraC: Cleanup; clarify the title row of the rank-2 temp table; -redundant categories

2023-10-15T13:40:36Z

Cleanup; clarify the title row of the rank-2 temp table; -redundant categories

← Older revision		Revision as of 13:40, 15 October 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|2023}}		{{EDO intro\|2023}}

	== Theory ==		== Theory ==
	2023edo is enfactored in the 5-limit, with the same mapping as [[289edo]]. As such it maps the period to 25/24, which means [[septendecima]] is also tempered out. In the 17-limit on the patent val, it is a tuning for the [[leaves]] temperament.		2023edo is [[Enfactoring\|enfactored]] in the 5-limit, with the same mapping as [[289edo]]. As such it maps the period to [[25/24]], which means [[septendecima]] is also tempered out. In the 17-limit on the [[patent val]], it is a tuning for the [[leaves]] temperament.

	If we impose a stricter harmonic approach, and require all errors to be below 25%, the subgroup consisting of first 7 such harmonics for 2023edo is 2.13.17.23.47.61.71.		If we impose a stricter harmonic approach, and require all errors to be below 25%, the subgroup consisting of first 7 such harmonics for 2023edo is 2.13.17.23.47.61.71.

	In the 2023e val, it supports the altierran rank-3 temperament tempering out the [[schisma]] and the [[quartisma]].		In the 2023e val, it supports the altierran rank-3 temperament tempering out the [[schisma]] and the [[quartisma]].

	=== Prime harmonics ===		=== Prime harmonics ===
	{{~~harmonics~~ in equal\|2023}}		{{Harmonics in equal\|2023}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	~~The divisors of~~ 2023 ~~are~~ {{EDOs\|1, 7, 17, 119, 289}}~~. It factors as 7 * 17<sup>2</sup>~~.		Since 2023 factors as 7 × 17<sup>2</sup>, 2023edo has subset edos {{EDOs\| 7, 17, 119, and 289 }}.

	== Regular temperament properties ==		== Regular temperament properties ==

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	Note: 5-limit temperaments ~~represented~~ by 289edo are not included.		Note: 5-limit temperaments supported by 289edo are not included.
	{\| class="wikitable center-all left-5"		{\| class="wikitable center-all left-5"
	!Periods		! Periods<br>per 8ve
	per 8ve		! Generator*
	!Generator		! Cents*
	~~(Reduced)~~		! Associated<br>Ratio
	!Cents		! Temperament
	~~(Reduced)~~
	!Associated
	Ratio
	!Temperament
	\|-		\|-
	\|17		\| 17
	\|144\2023<br>(25\2023)		\| 144\2023<br>(25\2023)
	\|85.417<br>(14.829)		\| 85.417<br>(14.829)
	\|1024/975<br>(8192/8125)		\| 1024/975<br>(8192/8125)
	\|[[Leaves]]		\| [[Leaves]]
	\|}		\|}
			<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct

	== Music ==		== Music ==
			; [[Eliora]]
	* [https://www.youtube.com/watch?v=8K2RYO_oCnM Bagatelle in 11/8♭ Leaves, (~~Op. 2, No. 2~~)~~] by [[Eliora]]~~		* [https://www.youtube.com/watch?v=8K2RYO_oCnM ''Bagatelle in 11/8♭ Leaves''] (2023)

	~~[[Category:Equal divisions of the octave\|####]]<!-- 4-digit number -->~~

Eliora: remove quartismic category (not a patent val temperament in 2023edo)

2023-08-11T13:58:26Z

remove quartismic category (not a patent val temperament in 2023edo)

← Older revision		Revision as of 13:58, 11 August 2023
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	[[Category:Equal divisions of the octave\|####]]<!-- 4-digit number -->		[[Category:Equal divisions of the octave\|####]]<!-- 4-digit number -->
	~~[[Category:Quartismic]]~~