2023edo - Revision history

Eliora: /* Theory */

2026-08-30T19:18:09Z

Theory

← Older revision		Revision as of 19:18, 30 August 2026
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	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]]. I		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}}

2026-08-30T19:17:53Z

Theory: even if its a deleted temperament nominally - music has been composed in it, so just a slight correction to not mislead readers

← Older revision		Revision as of 19:17, 30 August 2026
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	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]]. I

	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|2023}}		{{Harmonics in equal\|2023}}
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 2023 factors as {{factorization\|2023}}, 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 }}.

			=== Other uses ===
			2023edo also supports a high badness 323 & 2023 temperament, which [[Eliora]] designated as [[User:Eliora/Leaves\|leaves]].

	== Music ==		== Music ==

2026-08-20T09:22:21Z

- deleted temp

@@ Line 3: / Line 3: @@
 == Theory ==
-edo 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.
+edo is [[enfactoring|enfactored]] in the 5-limit, with the same mapping and commas as [[289edo]].
 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.
@@ Line 14: / Line 14: @@
 === Subsets and supersets ===
 Since 2023 factors as {{factorization|2023}}, 2023edo has subset edos {{EDOs| 7, 17, 119, and 289 }}.
 == Music ==

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 ==

2025-02-20T23:06:10Z

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 ==

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 ==

2024-11-16T01:25:24Z

← Older revision		Revision as of 01:25, 16 November 2024
Line 18:		Line 18:
	=== 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
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	\| 1024/975<br />(8192/8125)		\| 1024/975<br />(8192/8125)
	\| [[Leaves]]		\| [[Leaves]]
	\|}		{{rank-2 end}}
	{{orf}}		{{orf}}

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 ==

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]]