233edo - Revision history

Francium: /* Music */ +music

2026-05-02T15:06:32Z

Music: +music

← Older revision		Revision as of 15:06, 2 May 2026
Line 119:		Line 119:
	; [[Francium]]		; [[Francium]]
	* "Cuckoo Cider Mouth" from ''Cursed Cuckoo Creations'' (2024) – [https://open.spotify.com/track/7BizYOfoxjMncUJaGEfL0u Spotify] \| [https://francium223.bandcamp.com/track/cuckoo-cider-mouth Bandcamp] \| [https://www.youtube.com/watch?v=t1hczh8fRQ4 YouTube]		* "Cuckoo Cider Mouth" from ''Cursed Cuckoo Creations'' (2024) – [https://open.spotify.com/track/7BizYOfoxjMncUJaGEfL0u Spotify] \| [https://francium223.bandcamp.com/track/cuckoo-cider-mouth Bandcamp] \| [https://www.youtube.com/watch?v=t1hczh8fRQ4 YouTube]
	* "goodblucky" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6uq6TWCajp0WueDjfr77ox Spotify] \| [https://francium223.bandcamp.com/track/goodblucky Bandcamp] \| [https://www.youtube.com/watch?v=4YATiqIwlqE Bandcamp]		* "goodblucky" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6uq6TWCajp0WueDjfr77ox Spotify] \| [https://francium223.bandcamp.com/track/goodblucky Bandcamp] \| [https://www.youtube.com/watch?v=4YATiqIwlqE YouTube]
			* "Desks For Ladies" from ''Check Us Out'' (2026) – [https://open.spotify.com/track/0tLYtnNlBluBNapUOS322P Spotify] \| [https://francium223.bandcamp.com/track/desks-for-ladies Bandcamp] \| [https://www.youtube.com/watch?v=MLd7ij1C3kc YouTube]

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

FloraC: Restore as sensipent

2026-03-23T08:38:25Z

Restore as sensipent

← Older revision		Revision as of 08:38, 23 March 2026
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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
	\|-		\|-
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	\|-		\|-
	\| 2.3		\| 2.3
	\| {{~~monzo~~\| -369 233 }}		\| {{Monzo\| -369 233 }}
	\| {{~~mapping~~\| 233 369 }}		\| {{Mapping\| 233 369 }}
	\| +0.4813		\| +0.4813
	\| 0.4815		\| 0.4815
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	\| 2.3.5		\| 2.3.5
	\| 78732/78125, {{monzo\| -53 32 1 }}		\| 78732/78125, {{monzo\| -53 32 1 }}
	\| {{~~mapping~~\| 233 369 541 }}		\| {{Mapping\| 233 369 541 }}
	\| +0.3277		\| +0.3277
	\| 0.4492		\| 0.4492
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	\| 2.3.5.7		\| 2.3.5.7
	\| 2401/2400, 65625/65536, 78732/78125		\| 2401/2400, 65625/65536, 78732/78125
	\| {{~~mapping~~\| 233 369 541 654 }}		\| {{Mapping\| 233 369 541 654 }}
	\| +0.2979		\| +0.2979
	\| 0.3924		\| 0.3924
Line 48:		Line 48:
	\| 2.3.5.7.11		\| 2.3.5.7.11
	\| 243/242, 441/440, 540/539, 2401/2400		\| 243/242, 441/440, 540/539, 2401/2400
	\| {{~~mapping~~\| 233 369 541 654 806 }}		\| {{Mapping\| 233 369 541 654 806 }}
	\| +0.2525		\| +0.2525
	\| 0.3625		\| 0.3625
Line 55:		Line 55:
	\| 2.3.5.7.11.13		\| 2.3.5.7.11.13
	\| 243/242, 351/350, 441/440, 540/539, 1001/1000		\| 243/242, 351/350, 441/440, 540/539, 1001/1000
	\| {{~~mapping~~\| 233 369 541 654 806 862 }}		\| {{Mapping\| 233 369 541 654 806 862 }}
	\| +0.2574		\| +0.2574
	\| 0.3311		\| 0.3311
Line 62:		Line 62:
	\| 2.3.5.7.11.13.17		\| 2.3.5.7.11.13.17
	\| 351/350, 441/440, 540/539, 561/560, 936/935, 1156/1155		\| 351/350, 441/440, 540/539, 561/560, 936/935, 1156/1155
	\| {{~~mapping~~\| 233 369 541 654 806 862 952 }}		\| {{Mapping\| 233 369 541 654 806 862 952 }}
	\| +0.2888		\| +0.2888
	\| 0.3161		\| 0.3161
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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
	\|-		\|-
Line 101:		Line 101:
	\| 98304/78125		\| 98304/78125
	\| [[Squarschmidt]]		\| [[Squarschmidt]]
			\|-
			\| 1
			\| 86\233
			\| 442.92
			\| 162/125
			\| [[Sensipent]]
	\|-		\|-
	\| 1		\| 1
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	\| [[Catafourth]]		\| [[Catafourth]]
	\|}		\|}
	<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		<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 ==

Overthink: /* Rank-2 temperaments */ - sensi (val with high error)

2026-03-23T05:15:17Z

Rank-2 temperaments: - sensi (val with high error)

← Older revision		Revision as of 05:15, 23 March 2026
Line 101:		Line 101:
	\| 98304/78125		\| 98304/78125
	\| [[Squarschmidt]]		\| [[Squarschmidt]]
	\|-
	~~\| 1~~
	~~\| 86\233~~
	~~\| 442.92~~
	~~\| 9/7~~
	~~\| [[Sensi]]~~
	\|-		\|-
	\| 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"

2026-03-13T13:31:50Z

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 13:31, 13 March 2026
Line 114:		Line 114:
	\| [[Catafourth]]		\| [[Catafourth]]
	\|}		\|}
	<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 ==

ArrowHead294 at 19:27, 20 February 2025

2025-02-20T19:27:57Z

← Older revision		Revision as of 19:27, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|233~~}}		{{ED intro}}

	== Theory ==		== Theory ==

ArrowHead294 at 18:02, 15 January 2025

2025-01-15T18:02:04Z

← Older revision		Revision as of 18:02, 15 January 2025
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	== Theory ==		== Theory ==
	233et has a generally flat tendency, in the sense that if the [[octave]] is pure, [[prime harmonic]]s 3 through 17 are all flat. 233edo is accurate for the [[5/1\|5th harmonic]] (only 0.0476 ~~cents~~ flat), but less for the [[3/1\|third harmonic]] (1.5258 ~~cents~~ flat).		233et has a generally flat tendency, in the sense that if the [[octave]] is pure, [[prime harmonic]]s 3 through 17 are all flat. 233edo is accurate for the [[5/1\|5th harmonic]] (only 0.0476{{c}} flat), but less for the [[3/1\|third harmonic]] (1.5258{{c}} flat).

	The equal temperament [[tempering out\|tempers out]] [[78732/78125]] and {{monzo\| -53 32 1 }} in the 5-limit; [[2401/2400]], [[65625/65536]], and 177147/175616 in the 7-limit (supporting [[tertiaseptal]] and [[catafourth]]). Using the [[patent val]], it tempers out [[243/242]], [[441/440]], 35937/35840, and 78408/78125 in the 11-limit; [[351/350]], [[1001/1000]], [[1575/1573]], [[4225/4224]], and [[6656/6655]] in the 13-limit.		The equal temperament [[tempering out\|tempers out]] [[78732/78125]] and {{monzo\| -53 32 1 }} in the 5-limit; [[2401/2400]], [[65625/65536]], and 177147/175616 in the 7-limit (supporting [[tertiaseptal]] and [[catafourth]]). Using the [[patent val]], it tempers out [[243/242]], [[441/440]], 35937/35840, and 78408/78125 in the 11-limit; [[351/350]], [[1001/1000]], [[1575/1573]], [[4225/4224]], and [[6656/6655]] in the 13-limit.
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	\| {{monzo\| -369 233 }}		\| {{monzo\| -369 233 }}
	\| {{mapping\| 233 369 }}		\| {{mapping\| 233 369 }}
	\| 0.4813		\| +0.4813
	\| 0.4815		\| 0.4815
	\| 9.35		\| 9.35
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	\| 78732/78125, {{monzo\| -53 32 1 }}		\| 78732/78125, {{monzo\| -53 32 1 }}
	\| {{mapping\| 233 369 541 }}		\| {{mapping\| 233 369 541 }}
	\| 0.3277		\| +0.3277
	\| 0.4492		\| 0.4492
	\| 8.72		\| 8.72
Line 42:		Line 42:
	\| 2401/2400, 65625/65536, 78732/78125		\| 2401/2400, 65625/65536, 78732/78125
	\| {{mapping\| 233 369 541 654 }}		\| {{mapping\| 233 369 541 654 }}
	\| 0.2979		\| +0.2979
	\| 0.3924		\| 0.3924
	\| 7.62		\| 7.62
Line 49:		Line 49:
	\| 243/242, 441/440, 540/539, 2401/2400		\| 243/242, 441/440, 540/539, 2401/2400
	\| {{mapping\| 233 369 541 654 806 }}		\| {{mapping\| 233 369 541 654 806 }}
	\| 0.2525		\| +0.2525
	\| 0.3625		\| 0.3625
	\| 7.04		\| 7.04
Line 56:		Line 56:
	\| 243/242, 351/350, 441/440, 540/539, 1001/1000		\| 243/242, 351/350, 441/440, 540/539, 1001/1000
	\| {{mapping\| 233 369 541 654 806 862 }}		\| {{mapping\| 233 369 541 654 806 862 }}
	\| 0.2574		\| +0.2574
	\| 0.3311		\| 0.3311
	\| 6.43		\| 6.43
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	\| 351/350, 441/440, 540/539, 561/560, 936/935, 1156/1155		\| 351/350, 441/440, 540/539, 561/560, 936/935, 1156/1155
	\| {{mapping\| 233 369 541 654 806 862 952 }}		\| {{mapping\| 233 369 541 654 806 862 952 }}
	\| 0.2888		\| +0.2888
	\| 0.3161		\| 0.3161
	\| 6.14		\| 6.14
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	\| [[Catafourth]]		\| [[Catafourth]]
	\|}		\|}
	<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]]
	* "Cuckoo Cider Mouth" from ''Cursed Cuckoo Creations'' (2024) ~~–~~ [https://open.spotify.com/track/7BizYOfoxjMncUJaGEfL0u Spotify] \| [https://francium223.bandcamp.com/track/cuckoo-cider-mouth Bandcamp] \| [https://www.youtube.com/watch?v=t1hczh8fRQ4 YouTube]		* "Cuckoo Cider Mouth" from ''Cursed Cuckoo Creations'' (2024) – [https://open.spotify.com/track/7BizYOfoxjMncUJaGEfL0u Spotify] \| [https://francium223.bandcamp.com/track/cuckoo-cider-mouth Bandcamp] \| [https://www.youtube.com/watch?v=t1hczh8fRQ4 YouTube]
	* "goodblucky" from ''albumwithoutspaces'' (2024) ~~–~~ [https://open.spotify.com/track/6uq6TWCajp0WueDjfr77ox Spotify] \| [https://francium223.bandcamp.com/track/goodblucky Bandcamp] \| [https://www.youtube.com/watch?v=4YATiqIwlqE Bandcamp]		* "goodblucky" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6uq6TWCajp0WueDjfr77ox Spotify] \| [https://francium223.bandcamp.com/track/goodblucky Bandcamp] \| [https://www.youtube.com/watch?v=4YATiqIwlqE Bandcamp]

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

ArrowHead294: Partial undo

2024-11-16T12:43:18Z

Partial undo

← Older revision		Revision as of 12:43, 16 November 2024
Line 14:		Line 14:

	== 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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	\| 0.3161		\| 0.3161
	\| 6.14		\| 6.14
	~~{{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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	\| 250/189		\| 250/189
	\| [[Catafourth]]		\| [[Catafourth]]
	~~{{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 04:05, 16 November 2024

2024-11-16T04:05:56Z

← Older revision		Revision as of 04:05, 16 November 2024
Line 14:		Line 14:

	== 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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	\| 0.3161		\| 0.3161
	\| 6.14		\| 6.14
	\|}		{{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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	\| 250/189		\| 250/189
	\| [[Catafourth]]		\| [[Catafourth]]
	\|}		{{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]]
	* "Cuckoo Cider Mouth" from ''Cursed Cuckoo Creations'' (2024) – [https://open.spotify.com/track/7BizYOfoxjMncUJaGEfL0u Spotify] \| [https://francium223.bandcamp.com/track/cuckoo-cider-mouth Bandcamp] \| [https://www.youtube.com/watch?v=t1hczh8fRQ4 YouTube]		* "Cuckoo Cider Mouth" from ''Cursed Cuckoo Creations'' (2024) – [https://open.spotify.com/track/7BizYOfoxjMncUJaGEfL0u Spotify] \| [https://francium223.bandcamp.com/track/cuckoo-cider-mouth Bandcamp] \| [https://www.youtube.com/watch?v=t1hczh8fRQ4 YouTube]
	* "goodblucky" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6uq6TWCajp0WueDjfr77ox Spotify] \| [https://francium223.bandcamp.com/track/goodblucky Bandcamp] \| [https://www.youtube.com/watch?v=4YATiqIwlqE Bandcamp]		* "goodblucky" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6uq6TWCajp0WueDjfr77ox Spotify] \| [https://francium223.bandcamp.com/track/goodblucky Bandcamp] \| [https://www.youtube.com/watch?v=4YATiqIwlqE Bandcamp]

			[[Category:Listen]]

Francium: /* Music */ +links

2024-06-07T14:58:38Z

Music: +links

← Older revision		Revision as of 14:58, 7 June 2024
Line 117:		Line 117:
	; [[Francium]]		; [[Francium]]
	* "Cuckoo Cider Mouth" from ''Cursed Cuckoo Creations'' (2024) – [https://open.spotify.com/track/7BizYOfoxjMncUJaGEfL0u Spotify] \| [https://francium223.bandcamp.com/track/cuckoo-cider-mouth Bandcamp] \| [https://www.youtube.com/watch?v=t1hczh8fRQ4 YouTube]		* "Cuckoo Cider Mouth" from ''Cursed Cuckoo Creations'' (2024) – [https://open.spotify.com/track/7BizYOfoxjMncUJaGEfL0u Spotify] \| [https://francium223.bandcamp.com/track/cuckoo-cider-mouth Bandcamp] \| [https://www.youtube.com/watch?v=t1hczh8fRQ4 YouTube]
	* "goodblucky" from ''albumwithoutspaces'' (2024) – [https://francium223.bandcamp.com/track/goodblucky Bandcamp] \| [https://www.youtube.com/watch?v=4YATiqIwlqE Bandcamp]		* "goodblucky" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6uq6TWCajp0WueDjfr77ox Spotify] \| [https://francium223.bandcamp.com/track/goodblucky Bandcamp] \| [https://www.youtube.com/watch?v=4YATiqIwlqE Bandcamp]

Francium: /* Music */ +music

2024-06-03T14:06:46Z

Music: +music

← Older revision		Revision as of 14:06, 3 June 2024
Line 117:		Line 117:
	; [[Francium]]		; [[Francium]]
	* "Cuckoo Cider Mouth" from ''Cursed Cuckoo Creations'' (2024) – [https://open.spotify.com/track/7BizYOfoxjMncUJaGEfL0u Spotify] \| [https://francium223.bandcamp.com/track/cuckoo-cider-mouth Bandcamp] \| [https://www.youtube.com/watch?v=t1hczh8fRQ4 YouTube]		* "Cuckoo Cider Mouth" from ''Cursed Cuckoo Creations'' (2024) – [https://open.spotify.com/track/7BizYOfoxjMncUJaGEfL0u Spotify] \| [https://francium223.bandcamp.com/track/cuckoo-cider-mouth Bandcamp] \| [https://www.youtube.com/watch?v=t1hczh8fRQ4 YouTube]
			* "goodblucky" from ''albumwithoutspaces'' (2024) – [https://francium223.bandcamp.com/track/goodblucky Bandcamp] \| [https://www.youtube.com/watch?v=4YATiqIwlqE Bandcamp]