277edo - 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"

2026-03-13T13:32:58Z

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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	\| [[Helmholtz (temperament)\|Helmholtz]]		\| [[Helmholtz (temperament)\|Helmholtz]]
	\|}		\|}
	<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 ==

Francium: /* Music */ +music

2025-10-13T12:26:17Z

Music: +music

← Older revision		Revision as of 12:26, 13 October 2025
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	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "Rizzardry" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/1NqjyKORN0c2AIOhTMMUK7 Spotify] \| [https://francium223.bandcamp.com/track/rizzardry Bandcamp] \| [https://www.youtube.com/watch?v=HZ67knYwALA YouTube] ~~– in Zangaric, 277edo tuning~~		* "Rizzardry" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/1NqjyKORN0c2AIOhTMMUK7 Spotify] \| [https://francium223.bandcamp.com/track/rizzardry Bandcamp] \| [https://www.youtube.com/watch?v=HZ67knYwALA YouTube]
	* "It's a Smell." from ''Random Sentences'' (2025) – [https://open.spotify.com/track/35sVZfy1mDsPHZwjgh8Sql Spotify] \| [https://francium223.bandcamp.com/track/its-a-smell Bandcamp] \| [https://www.youtube.com/watch?v=L9Tn7n-THCM YouTube] – ~~in Yerkesic, 277edo tuning~~		* "It's a Smell." from ''Random Sentences'' (2025) – [https://open.spotify.com/track/35sVZfy1mDsPHZwjgh8Sql Spotify] \| [https://francium223.bandcamp.com/track/its-a-smell Bandcamp] \| [https://www.youtube.com/watch?v=L9Tn7n-THCM YouTube]
			* "PLEASE PASS THE JELL-AY!" from ''Things to Scream at People'' (2025) – [https://open.spotify.com/track/3kcBXUvOtcSFfjXEkN5JzD Spotify] \| [https://francium223.bandcamp.com/track/please-pass-the-jell-ay Bandcamp] \| [https://www.youtube.com/watch?v=XZyQb38LTqI YouTube]

Lériendil: Text replacement - "[[Helmholtz temperament|" to "[[Helmholtz (temperament)|"

2025-04-17T02:30:07Z

Text replacement - "[[Helmholtz temperament|" to "[[Helmholtz (temperament)|"

← Older revision		Revision as of 02:30, 17 April 2025
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	\| 498.19		\| 498.19
	\| 4/3		\| 4/3
	\| [[Helmholtz temperament\|Helmholtz]]		\| [[Helmholtz (temperament)\|Helmholtz]]
	\|}		\|}
	<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

Sintel: fix helmholtz link

2025-04-16T15:39:59Z

fix helmholtz link

← Older revision		Revision as of 15:39, 16 April 2025
Line 56:		Line 56:
	\| 498.19		\| 498.19
	\| 4/3		\| 4/3
	\| [[Helmholtz]]		\| [[Helmholtz temperament\|Helmholtz]]
	\|}		\|}
	<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

Francium: /* Music */ +music

2025-02-21T12:26:40Z

Music: +music

← Older revision		Revision as of 12:26, 21 February 2025
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	; [[Francium]]		; [[Francium]]
	* "Rizzardry" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/1NqjyKORN0c2AIOhTMMUK7 Spotify] \| [https://francium223.bandcamp.com/track/rizzardry Bandcamp] \| [https://www.youtube.com/watch?v=HZ67knYwALA YouTube] – in Zangaric, 277edo tuning		* "Rizzardry" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/1NqjyKORN0c2AIOhTMMUK7 Spotify] \| [https://francium223.bandcamp.com/track/rizzardry Bandcamp] \| [https://www.youtube.com/watch?v=HZ67knYwALA YouTube] – in Zangaric, 277edo tuning
			* "It's a Smell." from ''Random Sentences'' (2025) – [https://open.spotify.com/track/35sVZfy1mDsPHZwjgh8Sql Spotify] \| [https://francium223.bandcamp.com/track/its-a-smell Bandcamp] \| [https://www.youtube.com/watch?v=L9Tn7n-THCM YouTube] – in Yerkesic, 277edo tuning

ArrowHead294 at 19:29, 20 February 2025

2025-02-20T19:29:46Z

← Older revision		Revision as of 19:29, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|277~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: +music

2025-01-19T12:13:35Z

+music

← Older revision		Revision as of 12:13, 19 January 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

			== Music ==
			; [[Francium]]
			* "Rizzardry" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/1NqjyKORN0c2AIOhTMMUK7 Spotify] \| [https://francium223.bandcamp.com/track/rizzardry Bandcamp] \| [https://www.youtube.com/watch?v=HZ67knYwALA YouTube] – in Zangaric, 277edo tuning

FloraC: /* Theory */ cleanup

2025-01-17T15:49:55Z

Theory: cleanup

← Older revision		Revision as of 15:49, 17 January 2025
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	== Theory ==		== Theory ==
	277edo is a good 5-limit tuning; however, it is in[[consistent]] in the [[7-odd-limit]]. It [[tempers out]] 32805/32768 ([[schisma]]) and {{monzo\| -11 -37 30 }} in the 5-limit.		277edo is a good [[5-limit]] tuning; however, it is in[[consistent]] in the [[7-odd-limit]]. As an equal temperament, it [[tempering out\|tempers out]] 32805/32768 ([[schisma]]) and {{monzo\| -11 -37 30 }} in the 5-limit.

	The [[patent val]] {{val\| 277 439 643 778 }} tempers out [[4375/4374]], [[65625/65536]], and 829440/823543 in the 7-limit; [[540/539]], [[6250/6237]], 15488/15435, and 35937/35840 in the 11-limit; [[625/624]], [[729/728]], [[1573/1568]], [[2080/2079]], and [[2200/2197]] in the 13-limit. It [[support]]s [[pontiac]].		The [[patent val]] {{val\| 277 439 643 778 }} tempers out [[4375/4374]], [[65625/65536]], and 829440/823543 in the 7-limit; [[540/539]], [[6250/6237]], 15488/15435, and 35937/35840 in the 11-limit; [[625/624]], [[729/728]], [[1573/1568]], [[2080/2079]], and [[2200/2197]] in the 13-limit. It [[support]]s [[pontiac]].

ArrowHead294 at 16:54, 15 January 2025

2025-01-15T16:54:26Z

← Older revision		Revision as of 16:54, 15 January 2025
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	== Theory ==		== Theory ==
	277edo is a good 5-limit tuning; however, it is in[[consistent]] in the [[7-odd-limit]]. ~~The equal temperament~~ [[~~tempering out\|~~tempers out]] 32805/32768 ([[schisma]]) and {{monzo\| -11 -37 30 }} in the 5-limit.		277edo is a good 5-limit tuning; however, it is in[[consistent]] in the [[7-odd-limit]]. It [[tempers out]] 32805/32768 ([[schisma]]) and {{monzo\| -11 -37 30 }} in the 5-limit.

	The [[patent val]] {{val\| 277 439 643 778 }} tempers out [[4375/4374]], [[65625/65536]], and 829440/823543 in the 7-limit; [[540/539]], [[6250/6237]], 15488/15435, and 35937/35840 in the 11-limit; [[625/624]], [[729/728]], [[1573/1568]], [[2080/2079]], and [[2200/2197]] in the 13-limit. It [[support]]s [[pontiac]].		The [[patent val]] {{val\| 277 439 643 778 }} tempers out [[4375/4374]], [[65625/65536]], and 829440/823543 in the 7-limit; [[540/539]], [[6250/6237]], 15488/15435, and 35937/35840 in the 11-limit; [[625/624]], [[729/728]], [[1573/1568]], [[2080/2079]], and [[2200/2197]] in the 13-limit. It [[support]]s [[pontiac]].
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	\| [[Helmholtz]]		\| [[Helmholtz]]
	\|}		\|}
	<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

ArrowHead294: Partial undo

2024-11-16T13:10:43Z

Partial undo

← Older revision		Revision as of 13:10, 16 November 2024
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	== Regular temperament properties ==		== Regular temperament properties ==
	{~~{comma basis begin}}~~		{\| class="wikitable center-4 center-5 center-6"
			\|-
			! rowspan="2" \| [[Subgroup]]
			! rowspan="2" \| [[Comma list]]
			! rowspan="2" \| [[Mapping]]
			! rowspan="2" \| Optimal<br />8ve stretch (¢)
			! colspan="2" \| Tuning error
			\|-
			! [[TE error\|Absolute]] (¢)
			! [[TE simple badness\|Relative]] (%)
	\|-		\|-
	\| 2.3		\| 2.3
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	\| 0.1364		\| 0.1364
	\| 3.15		\| 3.15
	~~{{comma basis end}~~}		\|}

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{{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
	\|-		\|-
	\| 1		\| 1
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	\| 4/3		\| 4/3
	\| [[Helmholtz]]		\| [[Helmholtz]]
	~~{{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