1407edo - 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"

2026-03-13T13:31:35Z

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 13:31, 13 March 2026
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	\| [[Akjayland]]		\| [[Akjayland]]
	\|}		\|}
	<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

	[[Category:Akjayland]]		[[Category:Akjayland]]

ArrowHead294 at 23:06, 20 February 2025

2025-02-20T23:06:23Z

← Older revision		Revision as of 23:06, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|1407~~}}		{{ED intro}}

	== Theory ==		== Theory ==

ArrowHead294 at 16:02, 15 January 2025

2025-01-15T16:02:09Z

← Older revision		Revision as of 16:02, 15 January 2025
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	\| [[Akjayland]]		\| [[Akjayland]]
	\|}		\|}
	<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

	[[Category:Akjayland]]		[[Category:Akjayland]]

ArrowHead294: Partial undo

2024-11-16T13:25:17Z

Partial undo

← Older revision		Revision as of 13:25, 16 November 2024
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	! Generator*		! Generator*
	! Cents*		! Cents*
	! Associated<br />~~Ratio~~*		! Associated<br />ratio*
	! Temperaments		! Temperaments
	\|-		\|-
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	\| [[Akjayland]]		\| [[Akjayland]]
	\|}		\|}
	~~{{orf}}~~		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct

	[[Category:Akjayland]]		[[Category:Akjayland]]

ArrowHead294 at 00:47, 16 November 2024

2024-11-16T00:47:44Z

← Older revision		Revision as of 00:47, 16 November 2024
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	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{\| class="wikitable center-all left-5"		{\| class="wikitable center-all left-5"
	\|+Table of rank-2 temperaments by generator		\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator
	! Periods<br>per 8ve		\|-
			! Periods<br />per 8ve
	! Generator*		! Generator*
	! Cents*		! Cents*
	! Associated<br>Ratio*		! Associated<br />Ratio*
	! Temperaments		! Temperaments
	\|-		\|-
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	\|-		\|-
	\| 21		\| 21
	\| 686\1407<br>(16\1407)		\| 686\1407<br />(16\1407)
	\| 585.074<br>(13.646)		\| 585.074<br />(13.646)
	\| 91875/65536<br>(126/125)		\| 91875/65536<br />(126/125)
	\| [[Akjayland]]		\| [[Akjayland]]
	\|}		\|}
	~~<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}}

	[[Category:Akjayland]]		[[Category:Akjayland]]

BudjarnLambeth: Undo revision 132953 by BudjarnLambeth (talk)

2024-01-26T05:07:21Z

Undo revision 132953 by BudjarnLambeth (talk)

← Older revision		Revision as of 05:07, 26 January 2024
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	1407edo is excellent in the 7-limit, in which it supports the 441 & 966 [[akjayland]] temperament with period 21. Just like 441edo, it [[tempering out\|tempers out]] the [[akjaysma]] and the [[landscape comma]]. However, unlike 441edo it does not temper out the tritrizo comma, since 1407 is not divisible by 9.		1407edo is excellent in the 7-limit, in which it supports the 441 & 966 [[akjayland]] temperament with period 21. Just like 441edo, it [[tempering out\|tempers out]] the [[akjaysma]] and the [[landscape comma]]. However, unlike 441edo it does not temper out the tritrizo comma, since 1407 is not divisible by 9.

	It tunes the [[pure bastille]] temperament in the 1407eff val and the [[marvelous bastille]] temperament in the [[patent val]] in the 13-limit. ~~(See also: [[bastille]].)~~		It tunes the [[pure bastille]] temperament in the 1407eff val and the [[marvelous bastille]] temperament in the [[patent val]] in the 13-limit.

	=== Prime harmonics ===		=== Prime harmonics ===

BudjarnLambeth: /* Theory */ (See also: bastille.)

2024-01-26T05:01:35Z

Theory: (See also: bastille.)

← Older revision		Revision as of 05:01, 26 January 2024
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	1407edo is excellent in the 7-limit, in which it supports the 441 & 966 [[akjayland]] temperament with period 21. Just like 441edo, it [[tempering out\|tempers out]] the [[akjaysma]] and the [[landscape comma]]. However, unlike 441edo it does not temper out the tritrizo comma, since 1407 is not divisible by 9.		1407edo is excellent in the 7-limit, in which it supports the 441 & 966 [[akjayland]] temperament with period 21. Just like 441edo, it [[tempering out\|tempers out]] the [[akjaysma]] and the [[landscape comma]]. However, unlike 441edo it does not temper out the tritrizo comma, since 1407 is not divisible by 9.

	It tunes the [[pure bastille]] temperament in the 1407eff val and the [[marvelous bastille]] temperament in the [[patent val]] in the 13-limit.		It tunes the [[pure bastille]] temperament in the 1407eff val and the [[marvelous bastille]] temperament in the [[patent val]] in the 13-limit. (See also: [[bastille]].)

	=== Prime harmonics ===		=== Prime harmonics ===

FloraC: Adopt template: Factorization; misc. cleanup

2023-10-31T09:20:32Z

Adopt template: Factorization; misc. cleanup

← Older revision		Revision as of 09:20, 31 October 2023
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	== Theory ==		== Theory ==
	1407edo is excellent in the 7-limit, in which it supports the 441 & ~~1407~~ [[akjayland]] temperament with period 21. Just like 441edo, it tempers out the akjaysma and the landscape comma. However, unlike 441edo it does not temper out the tritrizo comma, since 1407 is not divisible by 9.		1407edo is excellent in the 7-limit, in which it supports the 441 & 966 [[akjayland]] temperament with period 21. Just like 441edo, it [[tempering out\|tempers out]] the [[akjaysma]] and the [[landscape comma]]. However, unlike 441edo it does not temper out the tritrizo comma, since 1407 is not divisible by 9.

	It tunes the [[pure bastille]] temperament in the 1407eff val and the [[marvelous bastille]] temperament in the [[patent val]] in the 13-limit.		It tunes the [[pure bastille]] temperament in the 1407eff val and the [[marvelous bastille]] temperament in the [[patent val]] in the 13-limit.
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	1407~~'s divisors are~~ {{EDOs\| 3, 7, 21, 67, 201, 469 }}.		Since 1407 factors into {{factorization\|1407}}, 1407edo has subset edos {{EDOs\| 3, 7, 21, 67, 201, and 469 }}.

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

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

2023-10-17T08:06:57Z

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

← Older revision		Revision as of 08:06, 17 October 2023
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	== Theory ==		== Theory ==
	~~{{Harmonics in equal\|1407}}~~
	1407edo is excellent in the 7-limit, in which it supports the 441 & 1407 [[akjayland]] temperament with period 21. Just like 441edo, it tempers out the akjaysma and the landscape comma. However, unlike 441edo it does not temper out the tritrizo comma, since 1407 is not divisible by 9.		1407edo is excellent in the 7-limit, in which it supports the 441 & 1407 [[akjayland]] temperament with period 21. Just like 441edo, it tempers out the akjaysma and the landscape comma. However, unlike 441edo it does not temper out the tritrizo comma, since 1407 is not divisible by 9.

	It tunes the [[pure bastille]] temperament in the 1407eff val and the [[marvelous bastille]] temperament in the patent val in the 13-limit.		It tunes the [[pure bastille]] temperament in the 1407eff val and the [[marvelous bastille]] temperament in the [[patent val]] in the 13-limit.

			=== Prime harmonics ===
			{{Harmonics in equal\|1407}}

	1407's divisors are {{EDOs\|1, 3, 7, 21, 67, 201, 469}}.		=== Subsets and supersets ===
			1407's divisors are {{EDOs\| 3, 7, 21, 67, 201, 469 }}.

	== Regular temperament properties ==		== Regular temperament properties ==
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	\|+Table of rank-2 temperaments by generator		\|+Table of rank-2 temperaments by generator
	! Periods<br>per 8ve		! Periods<br>per 8ve
	! Generator~~<br>(Reduced)~~		! Generator*
	! Cents~~<br>(Reduced)~~		! Cents*
	! Associated<br>Ratio		! Associated<br>Ratio
	! Temperaments		! Temperaments
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	\| 814\1407		\| 814\1407
	\| 694.243		\| 694.243
	\| {{~~Monzo~~\|381 0 -159 -4}}		\| {{monzo\| 381 0 -159 -4 }}
	\| [[Bastille]] (2.5.7) / [[pure bastille]] (1407eff) / [[marvelous bastille]] (1407)		\| [[Bastille]] (2.5.7) / [[pure bastille]] (1407eff) / [[marvelous bastille]] (1407)
	\|-		\|-
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	\| [[Akjayland]]		\| [[Akjayland]]
	\|}		\|}
	[[~~Category:Equal divisions of~~ the octave\|~~####~~]] ~~<!-- 4-digit number -->~~		<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct

	[[Category:Akjayland]]		[[Category:Akjayland]]

BudjarnLambeth at 06:53, 9 July 2023

2023-07-09T06:53:27Z

← Older revision		Revision as of 06:53, 9 July 2023
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	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|1407}}		{{EDO intro\|1407}}