607edo - 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"

2026-03-13T13:32:37Z

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 ==

Fredg999: Markup

2025-07-28T18:59:55Z

Markup

← Older revision		Revision as of 18:59, 28 July 2025
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	== Theory ==		== Theory ==
	607edo is [[consistent]] to the [[9-odd-limit]]. Using the [[patent val]], the equal temperament [[tempering out\|tempers out]] [[32805/32768]], [[420175/419904]] and 244140625/243045684 in the 7-limit; [[3025/3024]], [[6250/6237]], 32805/32768 and 420175/419904 in the 11-limit. It [[support]]s [[countertertiaschis]]. [[Essentially tempered ~~chords~~]] available in 607et include [[baladismic chords]] and [[xenismic chords]].		607edo is [[consistent]] to the [[9-odd-limit]]. Using the [[patent val]], the equal temperament [[tempering out\|tempers out]] [[32805/32768]], [[420175/419904]] and 244140625/243045684 in the 7-limit; [[3025/3024]], [[6250/6237]], 32805/32768 and 420175/419904 in the 11-limit. It [[support]]s [[countertertiaschis]]. [[Essentially tempered chord]]s available in 607et include [[baladismic chords]] and [[xenismic chords]].

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

Francium: /* Music */ +music

2025-05-01T11:04:57Z

Music: +music

← Older revision		Revision as of 11:04, 1 May 2025
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	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "Complete Edition" from ''You Are A...'' (2024) – [https://open.spotify.com/track/3U1YP47z0bmKZ76DzXEDTG Spotify] \| [https://francium223.bandcamp.com/track/complete-edition Bandcamp] \| [https://www.youtube.com/watch?v=PTpp4HPi98A YouTube] – ~~countertertiaschis~~[15] in 607edo tuning		* "Complete Edition" from ''You Are A...'' (2024) – [https://open.spotify.com/track/3U1YP47z0bmKZ76DzXEDTG Spotify] \| [https://francium223.bandcamp.com/track/complete-edition Bandcamp] \| [https://www.youtube.com/watch?v=PTpp4HPi98A YouTube] – in Countertertiaschis[15], 607edo tuning
	* "TAKE THE NIGHT WITH YOU" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/3xjT48PIa0OjNL7yTBWwVF Spotify] \| [https://francium223.bandcamp.com/track/take-the-night-with-you Bandcamp] \| [https://www.youtube.com/watch?v=5fzzB753wfM YouTube]		* "TAKE THE NIGHT WITH YOU" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/3xjT48PIa0OjNL7yTBWwVF Spotify] \| [https://francium223.bandcamp.com/track/take-the-night-with-you Bandcamp] \| [https://www.youtube.com/watch?v=5fzzB753wfM YouTube]
	* "Sweep Away" from ''Take Advantage'' (2024) – [https://open.spotify.com/track/3W9U6apb2cfKHtUXsmILDE Spotify] \| [https://francium223.bandcamp.com/track/sweep-away Bandcamp] \| [https://www.youtube.com/watch?v=5Q-aQnStoaA YouTube]		* "Sweep Away" from ''Take Advantage'' (2024) – [https://open.spotify.com/track/3W9U6apb2cfKHtUXsmILDE Spotify] \| [https://francium223.bandcamp.com/track/sweep-away Bandcamp] \| [https://www.youtube.com/watch?v=5Q-aQnStoaA YouTube]
	* "In the Field of Vodka" from ''Scoop'' (2024) – [https://open.spotify.com/track/79JeaYC5nBpz4fG6pPgkEe Spotify] \| [https://francium223.bandcamp.com/track/in-the-field-of-vodka Bandcamp] \| [https://www.youtube.com/watch?v=j_tkNX986sU YouTube]		* "In the Field of Vodka" from ''Scoop'' (2024) – [https://open.spotify.com/track/79JeaYC5nBpz4fG6pPgkEe Spotify] \| [https://francium223.bandcamp.com/track/in-the-field-of-vodka Bandcamp] \| [https://www.youtube.com/watch?v=j_tkNX986sU YouTube]
			* "The Cereal Egg" from ''Eggs'' (2025) – [https://open.spotify.com/track/7rO4vqdT05EV324fiXGPXI Spotify] \| [https://francium223.bandcamp.com/track/the-cereal-egg Bandcamp] \| [https://www.youtube.com/watch?v=-mkzaimrst4 YouTube]

	[[Category:Listen]]		[[Category:Listen]]

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

2025-04-17T02:30:32Z

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

← Older revision		Revision as of 02:30, 17 April 2025
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	\| 498.188		\| 498.188
	\| 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

2025-04-16T15:33:18Z

fix helmholtz link

← Older revision		Revision as of 15:33, 16 April 2025
Line 83:		Line 83:
	\| 498.188		\| 498.188
	\| 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: +interval chapter

2025-02-25T11:29:37Z

+interval chapter

← Older revision		Revision as of 11:29, 25 February 2025
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	607edo is the 111th [[prime EDO]].		607edo is the 111th [[prime EDO]].

			== Intervals ==
			{{Main\|Table of 607edo intervals}}

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

Francium: changed EDO intro to ED intro

2025-02-21T06:12:25Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:12, 21 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|607~~}}		{{ED intro}}

	== Theory ==		== Theory ==

ArrowHead294 at 18:52, 15 January 2025

2025-01-15T18:52:17Z

← Older revision		Revision as of 18:52, 15 January 2025
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	\| {{monzo\|-962 607}}		\| {{monzo\|-962 607}}
	\| {{mapping\|607 962}}		\| {{mapping\|607 962}}
	\| 0.0451		\| +0.0451
	\| 0.0451		\| 0.0451
	\| 2.28		\| 2.28
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	\| 32805/32768, {{monzo\|-58 -63 68}}		\| 32805/32768, {{monzo\|-58 -63 68}}
	\| {{mapping\|607 962 1409}}		\| {{mapping\|607 962 1409}}
	\| 0.1465		\| +0.1465
	\| 0.1481		\| 0.1481
	\| 7.49		\| 7.49
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	\| 32805/32768, 420175/419904, 244140625/243045684		\| 32805/32768, 420175/419904, 244140625/243045684
	\| {{mapping\|607 962 1409 1704}}		\| {{mapping\|607 962 1409 1704}}
	\| 0.1212		\| +0.1212
	\| 0.1355		\| 0.1355
	\| 6.85		\| 6.85
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	\| 3025/3024, 6250/6237, 32805/32768, 420175/419904		\| 3025/3024, 6250/6237, 32805/32768, 420175/419904
	\| {{mapping\|607 962 1409 1704 2100}}		\| {{mapping\|607 962 1409 1704 2100}}
	\| 0.0827		\| +0.0827
	\| 0.1437		\| 0.1437
	\| 7.27		\| 7.27
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	\| 2080/2079, 625/624, 3025/3024, 78975/78848, 218700/218491		\| 2080/2079, 625/624, 3025/3024, 78975/78848, 218700/218491
	\| {{mapping\|607 962 1409 1704 2100 2246}}		\| {{mapping\|607 962 1409 1704 2100 2246}}
	\| 0.0838		\| +0.0838
	\| 0.1312		\| 0.1312
	\| 6.64		\| 6.64
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	\| 2080/2079, 625/624, 1225/1224, 3025/3024, 78975/78848, 5832/5831		\| 2080/2079, 625/624, 1225/1224, 3025/3024, 78975/78848, 5832/5831
	\| {{mapping\|607 962 1409 1704 2100 2246 2481}}		\| {{mapping\|607 962 1409 1704 2100 2246 2481}}
	\| 0.0780		\| +0.0780
	\| 0.1222		\| 0.1222
	\| 6.18		\| 6.18
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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

	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "Complete Edition" from ''You Are A...'' (2024) ~~–~~ [https://open.spotify.com/track/3U1YP47z0bmKZ76DzXEDTG Spotify] \| [https://francium223.bandcamp.com/track/complete-edition Bandcamp] \| [https://www.youtube.com/watch?v=PTpp4HPi98A YouTube] ~~–~~ countertertiaschis[15] in 607edo tuning		* "Complete Edition" from ''You Are A...'' (2024) – [https://open.spotify.com/track/3U1YP47z0bmKZ76DzXEDTG Spotify] \| [https://francium223.bandcamp.com/track/complete-edition Bandcamp] \| [https://www.youtube.com/watch?v=PTpp4HPi98A YouTube] – countertertiaschis[15] in 607edo tuning
	* "TAKE THE NIGHT WITH YOU" from ''CAPSLOCK'' (2024) ~~–~~ [https://open.spotify.com/track/3xjT48PIa0OjNL7yTBWwVF Spotify] \| [https://francium223.bandcamp.com/track/take-the-night-with-you Bandcamp] \| [https://www.youtube.com/watch?v=5fzzB753wfM YouTube]		* "TAKE THE NIGHT WITH YOU" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/3xjT48PIa0OjNL7yTBWwVF Spotify] \| [https://francium223.bandcamp.com/track/take-the-night-with-you Bandcamp] \| [https://www.youtube.com/watch?v=5fzzB753wfM YouTube]
	* "Sweep Away" from ''Take Advantage'' (2024) ~~–~~ [https://open.spotify.com/track/3W9U6apb2cfKHtUXsmILDE Spotify] \| [https://francium223.bandcamp.com/track/sweep-away Bandcamp] \| [https://www.youtube.com/watch?v=5Q-aQnStoaA YouTube]		* "Sweep Away" from ''Take Advantage'' (2024) – [https://open.spotify.com/track/3W9U6apb2cfKHtUXsmILDE Spotify] \| [https://francium223.bandcamp.com/track/sweep-away Bandcamp] \| [https://www.youtube.com/watch?v=5Q-aQnStoaA YouTube]
	* "In the Field of Vodka" from ''Scoop'' (2024) ~~–~~ [https://open.spotify.com/track/79JeaYC5nBpz4fG6pPgkEe Spotify] \| [https://francium223.bandcamp.com/track/in-the-field-of-vodka Bandcamp] \| [https://www.youtube.com/watch?v=j_tkNX986sU YouTube]		* "In the Field of Vodka" from ''Scoop'' (2024) – [https://open.spotify.com/track/79JeaYC5nBpz4fG6pPgkEe Spotify] \| [https://francium223.bandcamp.com/track/in-the-field-of-vodka Bandcamp] \| [https://www.youtube.com/watch?v=j_tkNX986sU YouTube]

	[[Category:Listen]]		[[Category:Listen]]

ArrowHead294: Partial undo

2024-11-16T12:55:18Z

Partial undo

← Older revision		Revision as of 12:55, 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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	\| 0.1222		\| 0.1222
	\| 6.18		\| 6.18
	~~{{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

	== Music ==		== Music ==

ArrowHead294 at 03:16, 16 November 2024

2024-11-16T03:16:42Z

← Older revision		Revision as of 03:16, 16 November 2024
Line 12:		Line 12:

	== Regular temperament properties ==		== Regular temperament properties ==
	{~~\| class="wikitable center-4 center-5 center-6"~~		{{comma basis begin}}
	\|-
	~~! rowspan="2" \| [[Subgroup]]~~
	~~! rowspan="2" \| [[Comma list\|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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	\| 0.1222		\| 0.1222
	\| 6.18		\| 6.18
	\|}		{{comma basis end}}

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{~~\| class="wikitable center-all left-5"~~		{{rank-2 begin}}
	~~\|+ 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}}
	~~<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 ==
Line 90:		Line 74:
	* "Sweep Away" from ''Take Advantage'' (2024) – [https://open.spotify.com/track/3W9U6apb2cfKHtUXsmILDE Spotify] \| [https://francium223.bandcamp.com/track/sweep-away Bandcamp] \| [https://www.youtube.com/watch?v=5Q-aQnStoaA YouTube]		* "Sweep Away" from ''Take Advantage'' (2024) – [https://open.spotify.com/track/3W9U6apb2cfKHtUXsmILDE Spotify] \| [https://francium223.bandcamp.com/track/sweep-away Bandcamp] \| [https://www.youtube.com/watch?v=5Q-aQnStoaA YouTube]
	* "In the Field of Vodka" from ''Scoop'' (2024) – [https://open.spotify.com/track/79JeaYC5nBpz4fG6pPgkEe Spotify] \| [https://francium223.bandcamp.com/track/in-the-field-of-vodka Bandcamp] \| [https://www.youtube.com/watch?v=j_tkNX986sU YouTube]		* "In the Field of Vodka" from ''Scoop'' (2024) – [https://open.spotify.com/track/79JeaYC5nBpz4fG6pPgkEe Spotify] \| [https://francium223.bandcamp.com/track/in-the-field-of-vodka Bandcamp] \| [https://www.youtube.com/watch?v=j_tkNX986sU YouTube]

			[[Category:Listen]]