140edo - Revision history

Tristanbay: /* Music */Added more music

2026-05-27T16:13:13Z

Music: Added more music

← Older revision		Revision as of 16:13, 27 May 2026
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	== Music ==		== Music ==
			[[Art Esploro]]

			* ''Falling Stars'' (2026) ([https://www.patreon.com/posts/falling-stars-159221000 preview])

	[[User:Tristanbay\|'''Tristan Bay''']]		[[User:Tristanbay\|'''Tristan Bay''']]

Tristanbay: /* Ups and downs notation */Akea notation with ups and downs

2026-05-10T18:53:03Z

Ups and downs notation: Akea notation with ups and downs

← Older revision		Revision as of 18:53, 10 May 2026
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	140edo can be notated using [[Kite's ups and downs notation\|ups and downs]] with quarter-tone accidentals:		140edo can be notated using [[Kite's ups and downs notation\|ups and downs]] with quarter-tone accidentals:
	{{Ups and downs sharpness\|140\|true}}		{{Ups and downs sharpness\|140\|true}}
			Mapping an arrow to 3\140 rather than 1\140 is an alternative approach which takes advantage of 140edo being a tuning of akea temperament. This way, one arrow is equivalent to 81/80~64/63, and two arrows are equivalent to 33/32~1053/1024. This notation style (without quarter-tone accidentals) was used by [[User:Tristanbay\|Tristan Bay]] to compose the song ''Interpolate Me'' in the music tracker [[Osctet]].

	== Approximation to JI ==		== Approximation to JI ==

Tristanbay: Added my new track in 140edo to the page

2026-04-24T21:55:37Z

Added my new track in 140edo to the page

← Older revision		Revision as of 21:55, 24 April 2026
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	== Scales ==		== Scales ==
	* [[7L 7s in 140edo]]: 13 7 13 7 13 7 13 7 13 7 13 7 13 7 (''[[whitewood]][14]'')		* [[7L 7s in 140edo]]: 13 7 13 7 13 7 13 7 13 7 13 7 13 7 (''[[whitewood]][14]'')

			== Music ==
			[[User:Tristanbay\|'''Tristan Bay''']]

			* [https://youtu.be/RLcZe7vlR5c ''Interpolate Me''] (2026)

	== Instruments ==		== Instruments ==

Overthink: /* Rank-2 temperaments */ mention limit

2026-04-03T23:27:50Z

Rank-2 temperaments: mention limit

← Older revision		Revision as of 23:27, 3 April 2026
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	\| 351.43		\| 351.43
	\| 49/40		\| 49/40
	\| [[Hemififths]]		\| [[Hemififths]] (7-limit)
	\|-		\|-
	\| 1		\| 1

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"

2026-03-13T13:32:00Z

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 13:32, 13 March 2026
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	\| [[Oquatonic]]		\| [[Oquatonic]]
	\|}		\|}
	<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

	== Scales ==		== Scales ==

Tristanbay: /* Theory */Mentioned 29-limit for peak form

2026-02-17T05:37:48Z

Theory: Mentioned 29-limit for peak form

← Older revision		Revision as of 05:37, 17 February 2026
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	== Theory ==		== Theory ==
	140edo is related to [[70edo]], from which it inherits the slightly sharp tuning of the [[3/1\|3rd]] [[harmonic]] and the slightly flat tunings of the [[11/1\|11th]], [[13/1\|13th]] and [[17/1\|17th]] harmonics, but the [[5/1\|5th]] and [[7/1\|7th]] harmonics are much improved, enabling it to approximate [[JI]] of various [[prime limit\|limits]]. Its peak form is in the [[17-limit\|17-]], [[19-limit\|19-]] and [[23-limit]], despite the obvious lack of [[consistency]] in the corresponding [[odd limit]]s. In fact, the only inconsistently mapped intervals in the [[17-odd-limit]] are [[11/9]] and its [[octave complement]], though with the [[23-odd-limit]], [[19/11]], [[19/17]], [[23/18]], [[23/19]] and their octave complements are also added to that list.		140edo is related to [[70edo]], from which it inherits the slightly sharp tuning of the [[3/1\|3rd]] [[harmonic]] and the slightly flat tunings of the [[11/1\|11th]], [[13/1\|13th]] and [[17/1\|17th]] harmonics, but the [[5/1\|5th]] and [[7/1\|7th]] harmonics are much improved, enabling it to approximate [[JI]] of various [[prime limit\|limits]]. Its peak form is in the [[17-limit\|17-]], [[19-limit\|19-]], [[23-limit\|23-]], and [[29-limit]], despite the obvious lack of [[consistency]] in the corresponding [[odd limit]]s. In fact, the only inconsistently mapped intervals in the [[17-odd-limit]] are [[11/9]] and its [[octave complement]], though with the [[23-odd-limit]], [[19/11]], [[19/17]], [[23/18]], [[23/19]] and their octave complements are also added to that list.

	In the 5-limit, 140et [[tempering out\|tempers out]] [[15625/15552]], making it a kleismic system, and the [[kwazy comma]], {{monzo\| -53 10 16 }}. It is most notable, however, in the 7-limit, where it tempers out [[2401/2400]], [[5120/5103]], [[10976/10935]] and [[65625/65536]]. It [[support]]s the 7-limit rank-2 temperaments [[tertiaseptal]], [[hemififths]], [[countercata]] and [[bisupermajor]], and is a good tuning recommendation for countercata, the {{nowrap\| 53 & 87 }} temperament tempering out 15625/15552 and 5120/5103, and provides the [[optimal patent val]] for 13-limit countercata. In the 11-limit it tempers out [[385/384]], [[1331/1323]], [[1375/1372]], [[5632/5625]], [[6250/6237]] and [[9801/9800]], and in the 13-limit [[325/324]], [[352/351]], [[625/624]], [[676/675]], [[847/845]], [[1001/1000]], [[1716/1715]] and [[2080/2079]].		In the 5-limit, 140et [[tempering out\|tempers out]] [[15625/15552]], making it a kleismic system, and the [[kwazy comma]], {{monzo\| -53 10 16 }}. It is most notable, however, in the 7-limit, where it tempers out [[2401/2400]], [[5120/5103]], [[10976/10935]] and [[65625/65536]]. It [[support]]s the 7-limit rank-2 temperaments [[tertiaseptal]], [[hemififths]], [[countercata]] and [[bisupermajor]], and is a good tuning recommendation for countercata, the {{nowrap\| 53 & 87 }} temperament tempering out 15625/15552 and 5120/5103, and provides the [[optimal patent val]] for 13-limit countercata. In the 11-limit it tempers out [[385/384]], [[1331/1323]], [[1375/1372]], [[5632/5625]], [[6250/6237]] and [[9801/9800]], and in the 13-limit [[325/324]], [[352/351]], [[625/624]], [[676/675]], [[847/845]], [[1001/1000]], [[1716/1715]] and [[2080/2079]].

Tristanbay: /* Interval table */ Added notation section with ups and downs

2025-10-14T07:27:13Z

Interval table: Added notation section with ups and downs

← Older revision		Revision as of 07:27, 14 October 2025
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	\|}		\|}
	<nowiki>*</nowiki> As a no-31's no-47's 53-limit temperament.		<nowiki>*</nowiki> As a no-31's no-47's 53-limit temperament.

			== Notation ==
			=== Ups and downs notation ===
			140edo can be notated using [[Kite's ups and downs notation\|ups and downs]] with quarter-tone accidentals:
			{{Ups and downs sharpness\|140\|true}}

	== Approximation to JI ==		== Approximation to JI ==

BudjarnLambeth: /* Scales */

2025-10-05T08:47:05Z

Scales

← Older revision		Revision as of 08:47, 5 October 2025
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	== Scales ==		== Scales ==
	* [[7L 7s in 140edo]]: 13 7 13 7 13 7 13 7 13 7 13 7 13 7		* [[7L 7s in 140edo]]: 13 7 13 7 13 7 13 7 13 7 13 7 13 7 (''[[whitewood]][14]'')

	== Instruments ==		== Instruments ==

BudjarnLambeth: /* Scales */

2025-10-05T08:37:42Z

Scales

← Older revision		Revision as of 08:37, 5 October 2025
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	== Scales ==		== Scales ==
	* [[7L 7s in 140edo]]		* [[7L 7s in 140edo]]: 13 7 13 7 13 7 13 7 13 7 13 7 13 7

	== Instruments ==		== Instruments ==

BudjarnLambeth: Add scales section

2025-10-05T08:23:16Z

Add scales section

← Older revision		Revision as of 08:23, 5 October 2025
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	\|}		\|}
	<nowiki/>* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if distinct		<nowiki/>* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if distinct

			== Scales ==
			* [[7L 7s in 140edo]]

	== Instruments ==		== Instruments ==