563edo - 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"

2026-03-13T13:33:18Z

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 13:33, 13 March 2026
Line 47:		Line 47:
	\| [[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 #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]]		; [[Francium]]
	* "Cuckoo Woodpecker" from ''Cursed Cuckoo Creations'' (2024) – [https://open.spotify.com/track/2zHIlg1umqSkNrVke3YggJ Spotify] \| [https://francium223.bandcamp.com/track/cuckoo-woodpecker Bandcamp] \| [https://www.youtube.com/watch?v=7WwIpBsXP2A YouTube]		* "Cuckoo Woodpecker" from ''Cursed Cuckoo Creations'' (2024) – [https://open.spotify.com/track/2zHIlg1umqSkNrVke3YggJ Spotify] \| [https://francium223.bandcamp.com/track/cuckoo-woodpecker Bandcamp] \| [https://www.youtube.com/watch?v=7WwIpBsXP2A YouTube]

ArrowHead294 at 13:06, 21 February 2025

2025-02-21T13:06:56Z

← Older revision		Revision as of 13:06, 21 February 2025
Line 13:		Line 13:
	== 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" \|[[Comma list~~\|Comma List~~]]		! rowspan="2" \| [[Subgroup]]
	! rowspan="2" \|[[Mapping]]		! rowspan="2" \| [[Comma list]]
	! rowspan="2" \|Optimal<br>8ve ~~Stretch~~ (¢)		! rowspan="2" \| [[Mapping]]
	! colspan="2" \|Tuning ~~Error~~		! rowspan="2" \| Optimal<br />8ve stretch (¢)
	\|-		! colspan="2" \| Tuning error
	![[TE error\|Absolute]] (¢)		\|-
	![[TE simple badness\|Relative]] (%)		! [[TE error\|Absolute]] (¢)
			! [[TE simple badness\|Relative]] (%)
	\|-		\|-
	\| 2.9		\| 2.9
	\| {{monzo\| 1785 -563 }}		\| {{monzo\| 1785 -563 }}
	\| {{mapping\| 563 1785 }}		\| {{mapping\| 563 1785 }}
	\| ~~−0~~.1117		\| −0.1117
	\| 0.1117		\| 0.1117
	\| 5.24		\| 5.24

Francium: /* Regular temperament properties */

2025-02-21T05:45:29Z

Regular temperament properties

← Older revision		Revision as of 05:45, 21 February 2025
Line 13:		Line 13:
	== 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]]		! rowspan="2" \|[[Comma list\|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~~
	\|-
	~~! [[TE error\|Absolute]] (¢)~~
	~~! [[TE simple badness\|Relative]] (%)~~
	\|-		\|-
	! [[TE error\|Absolute]] (¢)		![[TE error\|Absolute]] (¢)
	! [[TE simple badness\|Relative]] (%)		![[TE simple badness\|Relative]] (%)
	\|-		\|-
	\| 2.9		\| 2.9

Francium: changed EDO intro to ED intro

2025-02-21T05:44:33Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:44, 21 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|563~~}}		{{ED intro}}

	== Theory ==		== Theory ==

ArrowHead294 at 16:06, 15 January 2025

2025-01-15T16:06:26Z

← Older revision		Revision as of 16:06, 15 January 2025
Line 50:		Line 50:
	\| [[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 ==
	; [[Francium]]		; [[Francium]]
	* "Cuckoo Woodpecker" from ''Cursed Cuckoo Creations'' (2024) – [https://open.spotify.com/track/2zHIlg1umqSkNrVke3YggJ Spotify] \| [https://francium223.bandcamp.com/track/cuckoo-woodpecker Bandcamp] \| [https://www.youtube.com/watch?v=7WwIpBsXP2A YouTube]		* "Cuckoo Woodpecker" from ''Cursed Cuckoo Creations'' (2024) – [https://open.spotify.com/track/2zHIlg1umqSkNrVke3YggJ Spotify] \| [https://francium223.bandcamp.com/track/cuckoo-woodpecker Bandcamp] \| [https://www.youtube.com/watch?v=7WwIpBsXP2A YouTube]

ArrowHead294 at 13:24, 16 November 2024

2024-11-16T13:24:00Z

← Older revision		Revision as of 13:24, 16 November 2024
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	\|-		\|-
	! rowspan="2" \| [[Subgroup]]		! rowspan="2" \| [[Subgroup]]
	! rowspan="2" \| [[Comma list~~\|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
			\|-
			! [[TE error\|Absolute]] (¢)
			! [[TE simple badness\|Relative]] (%)
	\|-		\|-
	! [[TE error\|Absolute]] (¢)		! [[TE error\|Absolute]] (¢)
Line 26:		Line 29:
	\| {{monzo\| 1785 -563 }}		\| {{monzo\| 1785 -563 }}
	\| {{mapping\| 563 1785 }}		\| {{mapping\| 563 1785 }}
	\| -0.1117		\| −0.1117
	\| 0.1117		\| 0.1117
	\| 5.24		\| 5.24
Line 38:		Line 41:
	! Generator*		! Generator*
	! Cents*		! Cents*
	! Associated<br />~~Ratio~~*		! Associated<br />ratio*
	! Temperaments		! Temperaments
	\|-		\|-

ArrowHead294: Partial undo

2024-11-16T13:23:21Z

Partial undo

← Older revision		Revision as of 13:23, 16 November 2024
Line 47:		Line 47:
	\| [[Whoosh]]		\| [[Whoosh]]
	\|}		\|}
	~~{{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 ==
	; [[Francium]]		; [[Francium]]
	* "Cuckoo Woodpecker" from ''Cursed Cuckoo Creations'' (2024) – [https://open.spotify.com/track/2zHIlg1umqSkNrVke3YggJ Spotify] \| [https://francium223.bandcamp.com/track/cuckoo-woodpecker Bandcamp] \| [https://www.youtube.com/watch?v=7WwIpBsXP2A YouTube]		* "Cuckoo Woodpecker" from ''Cursed Cuckoo Creations'' (2024) – [https://open.spotify.com/track/2zHIlg1umqSkNrVke3YggJ Spotify] \| [https://francium223.bandcamp.com/track/cuckoo-woodpecker Bandcamp] \| [https://www.youtube.com/watch?v=7WwIpBsXP2A YouTube]

ArrowHead294 at 00:51, 16 November 2024

2024-11-16T00:51:33Z

← Older revision		Revision as of 00:51, 16 November 2024
Line 13:		Line 13:
	== 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]]
	! rowspan="2" \| [[Comma list\|Comma List]]		! rowspan="2" \| [[Comma list\|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
	\|-		\|-
	![[TE error\|Absolute]] (¢)		! [[TE error\|Absolute]] (¢)
	![[TE simple badness\|Relative]] (%)		! [[TE simple badness\|Relative]] (%)
	\|-		\|-
	\| 2.9		\| 2.9
Line 32:		Line 33:
	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{\| class="wikitable center-all left-5"		{\| class="wikitable center-all left-5"
	\|+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 45:		Line 47:
	\| [[Whoosh]]		\| [[Whoosh]]
	\|}		\|}
	~~<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 Woodpecker" from ''Cursed Cuckoo Creations'' (2024) – [https://open.spotify.com/track/2zHIlg1umqSkNrVke3YggJ Spotify] \| [https://francium223.bandcamp.com/track/cuckoo-woodpecker Bandcamp] \| [https://www.youtube.com/watch?v=7WwIpBsXP2A YouTube]		* "Cuckoo Woodpecker" from ''Cursed Cuckoo Creations'' (2024) – [https://open.spotify.com/track/2zHIlg1umqSkNrVke3YggJ Spotify] \| [https://francium223.bandcamp.com/track/cuckoo-woodpecker Bandcamp] \| [https://www.youtube.com/watch?v=7WwIpBsXP2A YouTube]

Francium: +music

2024-04-02T11:27:19Z

+music

← Older revision		Revision as of 11:27, 2 April 2024
Line 46:		Line 46:
	\|}		\|}
	<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]]
			* "Cuckoo Woodpecker" from ''Cursed Cuckoo Creations'' (2024) – [https://open.spotify.com/track/2zHIlg1umqSkNrVke3YggJ Spotify] \| [https://francium223.bandcamp.com/track/cuckoo-woodpecker Bandcamp] \| [https://www.youtube.com/watch?v=7WwIpBsXP2A YouTube]

FloraC: Review

2024-02-07T08:38:40Z

Review

← Older revision		Revision as of 08:38, 7 February 2024
Line 3:		Line 3:

	== Theory ==		== Theory ==
	~~563et~~ is only consistent to the [[5-odd-limit]] and the [[harmonic]] [[3/1\|3]] is ~~about halfway its steps~~. It is suitable for the 2.9.7.11.19.23 [[subgroup]], tempering out [[1863/1862]], [[3971/3969]], 3449952/3447493, 7901568/7891499 and 4333568/4322241.		563edo is only [[consistent]] to the [[5-odd-limit]] and the error of [[harmonic]] [[3/1\|3]] is quite large. It is suitable for the 2.9.7.11.19.23 [[subgroup]], [[tempering out]] [[1863/1862]], [[3971/3969]], 3449952/3447493, 7901568/7891499 and 4333568/4322241.

	=== Odd harmonics ===		=== Odd harmonics ===
Line 9:		Line 9:

	=== Subsets and supersets ===		=== Subsets and supersets ===
	563edo is the 103rd [[prime edo]]. [[~~1126edo~~]], which ~~doubles~~ it, gives a good correction to the harmonic 3.		563edo is the 103rd [[prime edo]]. [[1689edo]], which triples it, gives a good correction to the harmonic 3.

	== 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]]
	! rowspan="2" \|[[Comma list\|Comma List]]		! rowspan="2" \| [[Comma list\|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
	\|-		\|-
	![[TE error\|Absolute]] (¢)		![[TE error\|Absolute]] (¢)
	![[TE simple badness\|Relative]] (%)		![[TE simple badness\|Relative]] (%)
	\|-		\|-
	\|2.9		\| 2.9
	\|{{monzo\|1785 -563}}		\| {{monzo\| 1785 -563 }}
	\|{{mapping\|563 1785}}		\| {{mapping\| 563 1785 }}
	\| -0.1117		\| -0.1117
	\| 0.1117		\| 0.1117
	\|5.24		\| 5.24
	\|}		\|}

Line 39:		Line 39:
	! Temperaments		! Temperaments
	\|-		\|-
	\|1		\| 1
	\|263\563		\| 263\563
	\|560.57		\| 560.57
	\|864/625		\| 864/625
	\|[[Whoosh]]		\| [[Whoosh]]
	\|}		\|}

	<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

← Older revision		Revision as of 13:06, 21 February 2025
Line 13:		Line 13:
	== 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" \|[[Comma list~~\|Comma List~~]]		! rowspan="2" \| [[Subgroup]]
	! rowspan="2" \|[[Mapping]]		! rowspan="2" \| [[Comma list]]
	! rowspan="2" \|Optimal<br>8ve ~~Stretch~~ (¢)		! rowspan="2" \| [[Mapping]]
	! colspan="2" \|Tuning ~~Error~~		! rowspan="2" \| Optimal<br />8ve stretch (¢)
	\|-		! colspan="2" \| Tuning error
	![[TE error\|Absolute]] (¢)		\|-
	![[TE simple badness\|Relative]] (%)		! [[TE error\|Absolute]] (¢)
			! [[TE simple badness\|Relative]] (%)
	\|-		\|-
	\| 2.9		\| 2.9
	\| {{monzo\| 1785 -563 }}		\| {{monzo\| 1785 -563 }}
	\| {{mapping\| 563 1785 }}		\| {{mapping\| 563 1785 }}
	\| ~~−0~~.1117		\| −0.1117
	\| 0.1117		\| 0.1117
	\| 5.24		\| 5.24

← Older revision		Revision as of 05:45, 21 February 2025
Line 13:		Line 13:
	== 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]]		! rowspan="2" \|[[Comma list\|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~~
	\|-
	~~! [[TE error\|Absolute]] (¢)~~
	~~! [[TE simple badness\|Relative]] (%)~~
	\|-		\|-
	! [[TE error\|Absolute]] (¢)		![[TE error\|Absolute]] (¢)
	! [[TE simple badness\|Relative]] (%)		![[TE simple badness\|Relative]] (%)
	\|-		\|-
	\| 2.9		\| 2.9