593edo - 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"

2026-03-13T13:30:00Z

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 13:30, 13 March 2026
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	\| [[Whoosh]]		\| [[Whoosh]]
	\|}		\|}
	<nowiki/>* [[Normal forms\|Octave-reduced form]], reduced to the first half-octave, and [[normal forms\|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 ==

FloraC: Cleanup

2025-10-27T13:19:49Z

Cleanup

← Older revision		Revision as of 13:19, 27 October 2025
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	== Theory ==		== Theory ==
	593edo is [[consistent]] to the [[9-odd-limit]]. ~~The~~ equal temperament [[tempering out\|tempers out]] [[4375/4374]], [[33554432/33480783]], 52734375/52706752, and 67108864/66976875 in the 7-limit. It [[support]]s [[vulture]] and [[squarschmidt]]. It is also notable in the 2.3.5.7.17 [[subgroup]], tempering out [[2500/2499]].		593edo is [[consistent]] to the [[9-odd-limit]]. As an equal temperament, it [[tempering out\|tempers out]] [[4375/4374]], [[33554432/33480783]], 52734375/52706752, and 67108864/66976875 in the 7-limit. It [[support]]s [[vulture]] and [[squarschmidt]]. It is also notable in the 2.3.5.7.17 [[subgroup]], tempering out [[2500/2499]].

	=== Prime harmonics ===		=== Prime harmonics ===
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	! rowspan="2" \| [[Comma list]]		! rowspan="2" \| [[Comma list]]
	! rowspan="2" \| [[Mapping]]		! rowspan="2" \| [[Mapping]]
	! rowspan="2" \| Optimal<br />8ve stretch (¢)		! rowspan="2" \| Optimal<br>8ve stretch (¢)
	! colspan="2" \| Tuning error		! colspan="2" \| Tuning error
	\|-		\|-
Line 24:		Line 24:
	\|-		\|-
	\| 2.3		\| 2.3
	\| {{~~monzo~~\| 940 -593 }}		\| {{Monzo\| 940 -593 }}
	\| {{~~mapping~~\| 593 940 }}		\| {{Mapping\| 593 940 }}
	\| −0.0748		\| −0.0748
	\| 0.0748		\| 0.0748
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	\|-		\|-
	\| 2.3.5		\| 2.3.5
	\| {{~~monzo~~\| 24 -21 4 }}, {{monzo\| 37 25 -33 }}		\| {{Monzo\| 24 -21 4 }}, {{monzo\| 37 25 -33 }}
	\| {{~~mapping~~\| 593 940 1377 }}		\| {{Mapping\| 593 940 1377 }}
	\| −0.0780		\| −0.0780
	\| 0.0613		\| 0.0613
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	\| 2.3.5.7		\| 2.3.5.7
	\| 4375/4374, 33554432/33480783, 52734375/52706752		\| 4375/4374, 33554432/33480783, 52734375/52706752
	\| {{~~mapping~~\| 593 940 1377 1665 }}		\| {{Mapping\| 593 940 1377 1665 }}
	\| −0.1015		\| −0.1015
	\| 0.0669		\| 0.0669
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	\|+ style="font-size: 105%;" \| 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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	\| 435.08		\| 435.08
	\| 9/7		\| 9/7
	\| [[Supermajor]]		\| [[Supermajor (temperament)\|Supermajor]]
	\|-		\|-
	\| 1		\| 1
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	\| [[Whoosh]]		\| [[Whoosh]]
	\|}		\|}
	<nowiki />* [[Normal ~~lists~~\|Octave-reduced form]], reduced to the first half-octave, and [[~~Normal lists~~\|minimal form]] in parentheses if distinct		<nowiki/>* [[Normal forms\|Octave-reduced form]], reduced to the first half-octave, and [[normal forms\|minimal form]] in parentheses if distinct

	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "theshocks" from ''albumwithoutspaces'' (2024) ~~–~~ [https://open.spotify.com/track/3EmJ9swIvLJ8NPLvT7qnV4 Spotify] \| [https://francium223.bandcamp.com/track/theshocks Bandcamp] \| [https://www.youtube.com/watch?v=fwgy5bpHh5U YouTube] ~~– vulture~~[13] in 593edo tuning		* "theshocks" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/3EmJ9swIvLJ8NPLvT7qnV4 Spotify] \| [https://francium223.bandcamp.com/track/theshocks Bandcamp] \| [https://www.youtube.com/watch?v=fwgy5bpHh5U YouTube] – in Vulture[13], 593edo tuning

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

Francium: changed EDO intro to ED intro

2025-02-21T06:01:41Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:01, 21 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|593~~}}		{{ED intro}}

	== Theory ==		== Theory ==

ArrowHead294 at 16:57, 15 January 2025

2025-01-15T16:57:49Z

← Older revision		Revision as of 16:57, 15 January 2025
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	\| {{monzo\| 940 -593 }}		\| {{monzo\| 940 -593 }}
	\| {{mapping\| 593 940 }}		\| {{mapping\| 593 940 }}
	\| ~~−0~~.0748		\| −0.0748
	\| 0.0748		\| 0.0748
	\| 3.70		\| 3.70
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	\| {{monzo\| 24 -21 4 }}, {{monzo\| 37 25 -33 }}		\| {{monzo\| 24 -21 4 }}, {{monzo\| 37 25 -33 }}
	\| {{mapping\| 593 940 1377 }}		\| {{mapping\| 593 940 1377 }}
	\| ~~−0~~.0780		\| −0.0780
	\| 0.0613		\| 0.0613
	\| 3.03		\| 3.03
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	\| 4375/4374, 33554432/33480783, 52734375/52706752		\| 4375/4374, 33554432/33480783, 52734375/52706752
	\| {{mapping\| 593 940 1377 1665 }}		\| {{mapping\| 593 940 1377 1665 }}
	\| ~~−0~~.1015		\| −0.1015
	\| 0.0669		\| 0.0669
	\| 3.31		\| 3.31
Line 85:		Line 85:
	\| [[Whoosh]]		\| [[Whoosh]]
	\|}		\|}
	<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 ==

ArrowHead294: Partial undo

2024-11-16T13:12:52Z

Partial undo

← Older revision		Revision as of 13:12, 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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	\| 0.0669		\| 0.0669
	\| 3.31		\| 3.31
	~~{{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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	\| 864/625		\| 864/625
	\| [[Whoosh]]		\| [[Whoosh]]
	~~{{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: /* Regular temperament properties */

2024-11-16T01:55:49Z

Regular temperament properties

← Older revision		Revision as of 01:55, 16 November 2024
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	\| {{monzo\| 940 -593 }}		\| {{monzo\| 940 -593 }}
	\| {{mapping\| 593 940 }}		\| {{mapping\| 593 940 }}
	\| -0.0748		\| −0.0748
	\| 0.0748		\| 0.0748
	\| 3.70		\| 3.70
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	\| {{monzo\| 24 -21 4 }}, {{monzo\| 37 25 -33 }}		\| {{monzo\| 24 -21 4 }}, {{monzo\| 37 25 -33 }}
	\| {{mapping\| 593 940 1377 }}		\| {{mapping\| 593 940 1377 }}
	\| -0.0780		\| −0.0780
	\| 0.0613		\| 0.0613
	\| 3.03		\| 3.03
Line 31:		Line 31:
	\| 4375/4374, 33554432/33480783, 52734375/52706752		\| 4375/4374, 33554432/33480783, 52734375/52706752
	\| {{mapping\| 593 940 1377 1665 }}		\| {{mapping\| 593 940 1377 1665 }}
	\| -0.1015		\| −0.1015
	\| 0.0669		\| 0.0669
	\| 3.31		\| 3.31

ArrowHead294 at 01:55, 16 November 2024

2024-11-16T01:55:31Z

← Older revision		Revision as of 01:55, 16 November 2024
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	== 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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	\| 0.0669		\| 0.0669
	\| 3.31		\| 3.31
	\|}		{{comma basis end}}

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{~~\| class="wikitable center-all left-5"~~		{{rank-2 begin}}
	~~\|+Table of~~ rank-2 ~~temperaments by generator~~
	~~! Periods<br>per 8ve~~
	! Generator*
	! Cents*
	! Associated<br>Ratio*
	~~! Temperaments~~
	\|-		\|-
	\| 1		\| 1
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	\| 864/625		\| 864/625
	\| [[Whoosh]]		\| [[Whoosh]]
	\|}		{{rank-2 end}}
	~~<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 ==
	; [[Francium]]		; [[Francium]]
	* "theshocks" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/3EmJ9swIvLJ8NPLvT7qnV4 Spotify] \| [https://francium223.bandcamp.com/track/theshocks Bandcamp] \| [https://www.youtube.com/watch?v=fwgy5bpHh5U YouTube] – vulture[13] in 593edo tuning		* "theshocks" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/3EmJ9swIvLJ8NPLvT7qnV4 Spotify] \| [https://francium223.bandcamp.com/track/theshocks Bandcamp] \| [https://www.youtube.com/watch?v=fwgy5bpHh5U YouTube] – vulture[13] in 593edo tuning

			[[Category:Listen]]

Francium: /* Music */ +links

2024-06-07T15:02:29Z

Music: +links

← Older revision		Revision as of 15:02, 7 June 2024
Line 87:		Line 87:
	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "theshocks" from ''albumwithoutspaces'' (2024) – [https://francium223.bandcamp.com/track/theshocks Bandcamp] \| [https://www.youtube.com/watch?v=fwgy5bpHh5U YouTube] – vulture[13] in 593edo tuning		* "theshocks" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/3EmJ9swIvLJ8NPLvT7qnV4 Spotify] \| [https://francium223.bandcamp.com/track/theshocks Bandcamp] \| [https://www.youtube.com/watch?v=fwgy5bpHh5U YouTube] – vulture[13] in 593edo tuning

Francium: /* Music */ +year

2024-06-06T15:26:59Z

Music: +year

← Older revision		Revision as of 15:26, 6 June 2024
Line 87:		Line 87:
	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "theshocks" from ''albumwithoutspaces'' – [https://francium223.bandcamp.com/track/theshocks Bandcamp] \| [https://www.youtube.com/watch?v=fwgy5bpHh5U YouTube] – vulture[13] in 593edo tuning		* "theshocks" from ''albumwithoutspaces'' (2024) – [https://francium223.bandcamp.com/track/theshocks Bandcamp] \| [https://www.youtube.com/watch?v=fwgy5bpHh5U YouTube] – vulture[13] in 593edo tuning

Francium: +music

2024-06-06T15:26:27Z

+music

← Older revision		Revision as of 15:26, 6 June 2024
Line 84:		Line 84:
	\|}		\|}
	<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct		<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct

			== Music ==
			; [[Francium]]
			* "theshocks" from ''albumwithoutspaces'' – [https://francium223.bandcamp.com/track/theshocks Bandcamp] \| [https://www.youtube.com/watch?v=fwgy5bpHh5U YouTube] – vulture[13] in 593edo tuning