503edo - Revision history

Francium: /* Music */ changed link

2026-05-01T11:19:51Z

Music: changed link

← Older revision		Revision as of 11:19, 1 May 2026
Line 112:		Line 112:
	* "optimism" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/3NSsgELzO7yYspH6khOWsf Spotify] \| [https://francium223.bandcamp.com/track/optimism Bandcamp] \| [https://www.youtube.com/watch?v=HMSmRAepIzQ YouTube]		* "optimism" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/3NSsgELzO7yYspH6khOWsf Spotify] \| [https://francium223.bandcamp.com/track/optimism Bandcamp] \| [https://www.youtube.com/watch?v=HMSmRAepIzQ YouTube]
	* "YOU'RE BORING!" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/7lgeaWyYccByXxvISoPX4m Spotify] \| [https://francium223.bandcamp.com/track/youre-boring Bandcamp] \| [https://www.youtube.com/watch?v=GLhxsupHAug YouTube]		* "YOU'RE BORING!" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/7lgeaWyYccByXxvISoPX4m Spotify] \| [https://francium223.bandcamp.com/track/youre-boring Bandcamp] \| [https://www.youtube.com/watch?v=GLhxsupHAug YouTube]
	* "Entrap Fools" from ''Check Us Out'' (2026) – [https://open.spotify.com/track/2DKihbJg3uFXu7zerVCZvl Spotify] \| [https://francium223.bandcamp.com/track/entrap-fools Bandcamp] \| [www.youtube.com/watch?v=emTkkxzYdZw YouTube]		* "Entrap Fools" from ''Check Us Out'' (2026) – [https://open.spotify.com/track/2DKihbJg3uFXu7zerVCZvl Spotify] \| [https://francium223.bandcamp.com/track/entrap-fools Bandcamp] \| [https://www.youtube.com/watch?v=emTkkxzYdZw YouTube]

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

Francium: /* Music */ +music

2026-05-01T11:18:46Z

Music: +music

← Older revision		Revision as of 11:18, 1 May 2026
Line 112:		Line 112:
	* "optimism" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/3NSsgELzO7yYspH6khOWsf Spotify] \| [https://francium223.bandcamp.com/track/optimism Bandcamp] \| [https://www.youtube.com/watch?v=HMSmRAepIzQ YouTube]		* "optimism" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/3NSsgELzO7yYspH6khOWsf Spotify] \| [https://francium223.bandcamp.com/track/optimism Bandcamp] \| [https://www.youtube.com/watch?v=HMSmRAepIzQ YouTube]
	* "YOU'RE BORING!" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/7lgeaWyYccByXxvISoPX4m Spotify] \| [https://francium223.bandcamp.com/track/youre-boring Bandcamp] \| [https://www.youtube.com/watch?v=GLhxsupHAug YouTube]		* "YOU'RE BORING!" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/7lgeaWyYccByXxvISoPX4m Spotify] \| [https://francium223.bandcamp.com/track/youre-boring Bandcamp] \| [https://www.youtube.com/watch?v=GLhxsupHAug YouTube]
			* "Entrap Fools" from ''Check Us Out'' (2026) – [https://open.spotify.com/track/2DKihbJg3uFXu7zerVCZvl Spotify] \| [https://francium223.bandcamp.com/track/entrap-fools Bandcamp] \| [www.youtube.com/watch?v=emTkkxzYdZw YouTube]

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

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
Line 106:		Line 106:
	\| [[Subneutral]]		\| [[Subneutral]]
	\|}		\|}
	<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: changed EDO intro to ED intro

2025-02-21T06:15:07Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:15, 21 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|503~~}}		{{ED intro}}

	== Theory ==		== Theory ==

ArrowHead294 at 14:06, 16 January 2025

2025-01-16T14:06:41Z

← Older revision		Revision as of 14:06, 16 January 2025
Line 26:		Line 26:
	\| {{monzo\|-797 503}}		\| {{monzo\|-797 503}}
	\| {{val\|503 797}}		\| {{val\|503 797}}
	\| 0.1777		\| +0.1777
	\| 0.1777		\| 0.1777
	\| 7.45		\| 7.45
Line 33:		Line 33:
	\| {{monzo\| 38 -2 -15 }}, {{monzo\| -5 31 -19 }}		\| {{monzo\| 38 -2 -15 }}, {{monzo\| -5 31 -19 }}
	\| {{val\| 503 797 1168}}		\| {{val\| 503 797 1168}}
	\| 0.0944		\| +0.0944
	\| 0.1869		\| 0.1869
	\| 7.83		\| 7.83
Line 40:		Line 40:
	\| 2401/2400, 1959552/1953125, 26873856/26796875		\| 2401/2400, 1959552/1953125, 26873856/26796875
	\| {{val\| 503 797 1168 1412 }}		\| {{val\| 503 797 1168 1412 }}
	\| 0.0920		\| +0.0920
	\| 0.1619		\| 0.1619
	\| 6.79		\| 6.79
Line 47:		Line 47:
	\| 2401/2400, 8019/8000, 24057/24010, 43923/43904		\| 2401/2400, 8019/8000, 24057/24010, 43923/43904
	\| {{val\| 503 797 1168 1412 1740 }}		\| {{val\| 503 797 1168 1412 1740 }}
	\| 0.0866		\| +0.0866
	\| 0.1452		\| 0.1452
	\| 6.09		\| 6.09
Line 54:		Line 54:
	\| 729/728, 1001/1000, 1716/1715, 4225/4224, 6656/6655		\| 729/728, 1001/1000, 1716/1715, 4225/4224, 6656/6655
	\| {{val\| 503 797 1168 1412 1740 1861 }}		\| {{val\| 503 797 1168 1412 1740 1861 }}
	\| 0.1066		\| +0.1066
	\| 0.1400		\| 0.1400
	\| 5.87		\| 5.87
Line 61:		Line 61:
	\| 729/728, 936/935, 1001/1000, 1716/1715, 2401/2400, 2601/2600		\| 729/728, 936/935, 1001/1000, 1716/1715, 2401/2400, 2601/2600
	\| {{val\| 503 797 1168 1412 1740 1861 2056 }}		\| {{val\| 503 797 1168 1412 1740 1861 2056 }}
	\| 0.0909		\| +0.0909
	\| 0.1352		\| 0.1352
	\| 5.67		\| 5.67
Line 106:		Line 106:
	\| [[Subneutral]]		\| [[Subneutral]]
	\|}		\|}
	<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]]
	* "optimism" from ''hope in dark times'' (2024) ~~–~~ [https://open.spotify.com/track/3NSsgELzO7yYspH6khOWsf Spotify] \| [https://francium223.bandcamp.com/track/optimism Bandcamp] \| [https://www.youtube.com/watch?v=HMSmRAepIzQ YouTube]		* "optimism" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/3NSsgELzO7yYspH6khOWsf Spotify] \| [https://francium223.bandcamp.com/track/optimism Bandcamp] \| [https://www.youtube.com/watch?v=HMSmRAepIzQ YouTube]
	* "YOU'RE BORING!" from ''CAPSLOCK'' (2024) ~~–~~ [https://open.spotify.com/track/7lgeaWyYccByXxvISoPX4m Spotify] \| [https://francium223.bandcamp.com/track/youre-boring Bandcamp] \| [https://www.youtube.com/watch?v=GLhxsupHAug YouTube]		* "YOU'RE BORING!" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/7lgeaWyYccByXxvISoPX4m Spotify] \| [https://francium223.bandcamp.com/track/youre-boring Bandcamp] \| [https://www.youtube.com/watch?v=GLhxsupHAug YouTube]

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

ArrowHead294: Partial undo

2024-11-16T12:50:24Z

Partial undo

← Older revision		Revision as of 12:50, 16 November 2024
Line 12:		Line 12:

	== 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
Line 58:		Line 67:

	=== 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
Line 89:		Line 105:
	\| 57344/46875		\| 57344/46875
	\| [[Subneutral]]		\| [[Subneutral]]
	~~{{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 03:49, 16 November 2024

2024-11-16T03:49:10Z

← Older revision		Revision as of 03:49, 16 November 2024
Line 5:		Line 5:
	503et tempers out [[2401/2400]] in the 7-limit; 56723625/56689952, 100663296/100656875, 10333575/10307264, 46656/46585, 166698/166375, 759375/758912, 496125/495616, 226492416/226474325, 2359296/2358125, 172032/171875, 369140625/369098752, 4302592/4296875, 24057/24010, [[8019/8000]], 16808715/16777216, 766656/765625, 391314/390625, 3294225/3294172, 43923/43904 and 102487/102400 in the 11-limit.		503et tempers out [[2401/2400]] in the 7-limit; 56723625/56689952, 100663296/100656875, 10333575/10307264, 46656/46585, 166698/166375, 759375/758912, 496125/495616, 226492416/226474325, 2359296/2358125, 172032/171875, 369140625/369098752, 4302592/4296875, 24057/24010, [[8019/8000]], 16808715/16777216, 766656/765625, 391314/390625, 3294225/3294172, 43923/43904 and 102487/102400 in the 11-limit.

	===Prime harmonics===		=== Prime harmonics ===
	{{Harmonics in equal\|503}}		{{Harmonics in equal\|503}}

	===Subsets and supersets===		=== Subsets and supersets ===
	503edo is the 96th [[prime edo]].		503edo is the 96th [[prime edo]].

	== 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
	\|{{monzo\|-797 503}}		\| {{monzo\|-797 503}}
	\|{{val\|503 797}}		\| {{val\|503 797}}
	\| 0.1777		\| 0.1777
	\| 0.1777		\| 0.1777
	\| 7.45		\| 7.45
	\|-		\|-
	\|2.3.5		\| 2.3.5
	\|{{monzo\|38 -2 -15}}, {{monzo\|-5 31 -19}}		\| {{monzo\| 38 -2 -15 }}, {{monzo\| -5 31 -19 }}
	\|{{val\|503 797 1168}}		\| {{val\| 503 797 1168}}
	\| 0.0944		\| 0.0944
	\| 0.1869		\| 0.1869
	\| 7.83		\| 7.83
	\|-		\|-
	\|2.3.5.7		\| 2.3.5.7
	\|2401/2400, 1959552/1953125, 26873856/26796875		\| 2401/2400, 1959552/1953125, 26873856/26796875
	\|{{val\|503 797 1168 1412}}		\| {{val\| 503 797 1168 1412 }}
	\| 0.0920		\| 0.0920
	\| 0.1619		\| 0.1619
	\| 6.79		\| 6.79
	\|-		\|-
	\|2.3.5.7.11		\| 2.3.5.7.11
	\|2401/2400, 8019/8000, 24057/24010, 43923/43904		\| 2401/2400, 8019/8000, 24057/24010, 43923/43904
	\|{{val\|503 797 1168 1412 1740}}		\| {{val\| 503 797 1168 1412 1740 }}
	\| 0.0866		\| 0.0866
	\| 0.1452		\| 0.1452
	\| 6.09		\| 6.09
	\|-		\|-
	\|2.3.5.7.11.13		\| 2.3.5.7.11.13
	\|729/728, 1001/1000, 1716/1715, 4225/4224, 6656/6655		\| 729/728, 1001/1000, 1716/1715, 4225/4224, 6656/6655
	\|{{val\|503 797 1168 1412 1740 1861}}		\| {{val\| 503 797 1168 1412 1740 1861 }}
	\| 0.1066		\| 0.1066
	\| 0.1400		\| 0.1400
	\| 5.87		\| 5.87
	\|-		\|-
	\|2.3.5.7.11.13.17		\| 2.3.5.7.11.13.17
	\|729/728, 936/935, 1001/1000, 1716/1715, 2401/2400, 2601/2600		\| 729/728, 936/935, 1001/1000, 1716/1715, 2401/2400, 2601/2600
	\|{{val\|503 797 1168 1412 1740 1861 2056}}		\| {{val\| 503 797 1168 1412 1740 1861 2056 }}
	\| 0.0909		\| 0.0909
	\| 0.1352		\| 0.1352
Line 66:		Line 58:

	=== 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
	\|11\503		\| 11\503
	\|26.24		\| 26.24
	\|1594323/1562500		\| 1594323/1562500
	\|[[Sfourth]] (5-limit)		\| [[Sfourth]] (5-limit)
	\|-		\|-
	\|1		\| 1
	\|50\503		\| 50\503
	\|119.28		\| 119.28
	\|15/14		\| 15/14
	\|[[Septidiasemi]]		\| [[Septidiasemi]]
	\|-		\|-
	\|1		\| 1
	\|81\503		\| 81\503
	\|193.24		\| 193.24
	\|262144/234375		\| 262144/234375
	\|[[Luna]]		\| [[Luna]]
	\|-		\|-
	\|1		\| 1
	\|127\503		\| 127\503
	\|302.98		\| 302.98
	\|25/21		\| 25/21
	\|[[Quinmite]]		\| [[Quinmite]]
	\|-		\|-
	\|1		\| 1
	\|146\503		\| 146\503
	\|348.31		\| 348.31
	\|57344/46875		\| 57344/46875
	\|[[Subneutral]]		\| [[Subneutral]]
	\|}		{{rank-2 end}}
			{{orf}}
	~~<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 ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "optimism" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/3NSsgELzO7yYspH6khOWsf Spotify] \| [https://francium223.bandcamp.com/track/optimism Bandcamp] \| [https://www.youtube.com/watch?v=HMSmRAepIzQ YouTube]		* "optimism" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/3NSsgELzO7yYspH6khOWsf Spotify] \| [https://francium223.bandcamp.com/track/optimism Bandcamp] \| [https://www.youtube.com/watch?v=HMSmRAepIzQ YouTube]
	* "YOU'RE BORING!" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/7lgeaWyYccByXxvISoPX4m Spotify] \| [https://francium223.bandcamp.com/track/youre-boring Bandcamp] \| [https://www.youtube.com/watch?v=GLhxsupHAug YouTube]		* "YOU'RE BORING!" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/7lgeaWyYccByXxvISoPX4m Spotify] \| [https://francium223.bandcamp.com/track/youre-boring Bandcamp] \| [https://www.youtube.com/watch?v=GLhxsupHAug YouTube]

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

Francium: /* Music */ +music

2024-08-25T19:07:07Z

Music: +music

← Older revision		Revision as of 19:07, 25 August 2024
Line 110:		Line 110:
	; [[Francium]]		; [[Francium]]
	* "optimism" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/3NSsgELzO7yYspH6khOWsf Spotify] \| [https://francium223.bandcamp.com/track/optimism Bandcamp] \| [https://www.youtube.com/watch?v=HMSmRAepIzQ YouTube]		* "optimism" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/3NSsgELzO7yYspH6khOWsf Spotify] \| [https://francium223.bandcamp.com/track/optimism Bandcamp] \| [https://www.youtube.com/watch?v=HMSmRAepIzQ YouTube]
			* "YOU'RE BORING!" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/7lgeaWyYccByXxvISoPX4m Spotify] \| [https://francium223.bandcamp.com/track/youre-boring Bandcamp] \| [https://www.youtube.com/watch?v=GLhxsupHAug YouTube]

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

Francium: +categories

2024-02-13T18:15:12Z

+categories

← Older revision		Revision as of 18:15, 13 February 2024
Line 110:		Line 110:
	; [[Francium]]		; [[Francium]]
	* "optimism" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/3NSsgELzO7yYspH6khOWsf Spotify] \| [https://francium223.bandcamp.com/track/optimism Bandcamp] \| [https://www.youtube.com/watch?v=HMSmRAepIzQ YouTube]		* "optimism" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/3NSsgELzO7yYspH6khOWsf Spotify] \| [https://francium223.bandcamp.com/track/optimism Bandcamp] \| [https://www.youtube.com/watch?v=HMSmRAepIzQ YouTube]

			[[Category:Listen]]

Francium: +music

2024-01-07T11:05:57Z

+music

← Older revision		Revision as of 11:05, 7 January 2024
Line 11:		Line 11:
	503edo is the 96th [[prime edo]].		503edo is the 96th [[prime edo]].

	==Regular temperament properties==		== Regular temperament properties ==
	{\| class="wikitable center-4 center-5 center-6"		{\| class="wikitable center-4 center-5 center-6"
	! rowspan="2" \|[[Subgroup]]		! rowspan="2" \|[[Subgroup]]
Line 106:		Line 106:

	<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]]
			* "optimism" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/3NSsgELzO7yYspH6khOWsf Spotify] \| [https://francium223.bandcamp.com/track/optimism Bandcamp] \| [https://www.youtube.com/watch?v=HMSmRAepIzQ YouTube]