727edo - 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"

2026-03-13T13:31:56Z

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 75:		Line 75:
	\| [[Parakleismic]]		\| [[Parakleismic]]
	\|}		\|}
	<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: /* Music */ +music

2025-10-16T11:13:42Z

Music: +music

← Older revision		Revision as of 11:13, 16 October 2025
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	; [[Francium]]		; [[Francium]]
	* "Rent A Person" from ''I Want To'' (2025) – [https://open.spotify.com/track/6ow6ZzkLpaCkOOJ7qAhjjq Spotify] \| [https://francium223.bandcamp.com/track/rent-a-person Bandcamp] \| [https://www.youtube.com/watch?v=bvWCK2sggks YouTube]		* "Rent A Person" from ''I Want To'' (2025) – [https://open.spotify.com/track/6ow6ZzkLpaCkOOJ7qAhjjq Spotify] \| [https://francium223.bandcamp.com/track/rent-a-person Bandcamp] \| [https://www.youtube.com/watch?v=bvWCK2sggks YouTube]
			* "Take the SQUEEPS" from ''Things to Scream at People'' (2025) – [https://open.spotify.com/track/5lOj1lUVhEwR7T7RoPsgbH Spotify] \| [https://francium223.bandcamp.com/track/take-the-squeeps Bandcamp] \| [https://www.youtube.com/watch?v=8kVuEk2GWG8 YouTube]

ArrowHead294 at 18:19, 20 February 2025

2025-02-20T18:19:47Z

← Older revision		Revision as of 18:19, 20 February 2025
Line 75:		Line 75:
	\| [[Parakleismic]]		\| [[Parakleismic]]
	\|}		\|}

	<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: changed EDO intro to ED intro

2025-02-19T18:15:33Z

changed EDO intro to ED intro

← Older revision		Revision as of 18:15, 19 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|727~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: +music

2025-02-06T12:09:10Z

+music

← Older revision		Revision as of 12:09, 6 February 2025
Line 77:		Line 77:

	<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

			== Music ==
			; [[Francium]]
			* "Rent A Person" from ''I Want To'' (2025) – [https://open.spotify.com/track/6ow6ZzkLpaCkOOJ7qAhjjq Spotify] \| [https://francium223.bandcamp.com/track/rent-a-person Bandcamp] \| [https://www.youtube.com/watch?v=bvWCK2sggks YouTube]

ArrowHead294 at 16:56, 15 January 2025

2025-01-15T16:56:35Z

← Older revision		Revision as of 16:56, 15 January 2025
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	== 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\|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 error\|Absolute]] (¢)
	![[TE simple badness\|Relative]] (%)		! [[TE simple badness\|Relative]] (%)
	\|-		\|-
	\| 2.3		\| 2.3
	\| {{monzo\| -1152 727}}		\| {{monzo\| -1152 727}}
	\| {{mapping\|727 1152}}		\| {{mapping\|727 1152}}
	\| 0.1394		\| +0.1394
	\| 0.1394		\| 0.1394
	\| 8.45		\| 8.45
Line 32:		Line 33:
	\| {{monzo\| 8 14 -13}}, {{monzo\| -96 43 12}}		\| {{monzo\| 8 14 -13}}, {{monzo\| -96 43 12}}
	\| {{mapping\|727 1152 1688}}		\| {{mapping\|727 1152 1688}}
	\| 0.1028		\| +0.1028
	\| 0.1250		\| 0.1250
	\| 7.57		\| 7.57
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	\| 703125/702464, 5250987/5242880, 43046721/42875000		\| 703125/702464, 5250987/5242880, 43046721/42875000
	\| {{mapping\|727 1152 1688 2041}}		\| {{mapping\|727 1152 1688 2041}}
	\| 0.0693		\| +0.0693
	\| 0.1229		\| 0.1229
	\| 7.45		\| 7.45
Line 46:		Line 47:
	\| 24057/24010, 160083/160000, 137781/137500, 496125/495616		\| 24057/24010, 160083/160000, 137781/137500, 496125/495616
	\| {{mapping\|727 1152 1688 2041 2515}}		\| {{mapping\|727 1152 1688 2041 2515}}
	\| 0.0561		\| +0.0561
	\| 0.1130		\| 0.1130
	\| 6.84		\| 6.84
Line 53:		Line 54:
	\| 729/728, 1716/1715, 78975/78848, 34398/34375, 160083/160000		\| 729/728, 1716/1715, 78975/78848, 34398/34375, 160083/160000
	\| {{mapping\|727 1152 1688 2041 2515 2690}}		\| {{mapping\|727 1152 1688 2041 2515 2690}}
	\| 0.0631		\| +0.0631
	\| 0.1043		\| 0.1043
	\| 6.32		\| 6.32
Line 60:		Line 61:
	=== 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
	\|-		\|-
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	\|}		\|}

	<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

Francium: please put the table below the contents part, plus doing a selected intervals table for just one interval is questionable

2024-12-22T22:37:16Z

please put the table below the contents part, plus doing a selected intervals table for just one interval is questionable

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
 {{EDO intro|727}}
 == Theory ==

MisterShafXen at 19:41, 22 December 2024

2024-12-22T19:41:53Z

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
 {{EDO intro|727}}
 == Theory ==

Francium: Created page with "{{Infobox ET}} {{EDO intro|727}} == Theory == 727edo is consistent to the 7-odd-limit. Using the patent val, it tempers out 24057/24010, 16008..."

2024-12-01T16:32:30Z

Created page with "{{Infobox ET}} {{EDO intro|727}} == Theory == 727edo is consistent to the 7-odd-limit. Using the patent val, it tempers out 24057/24010, 16008..."

New page

{{Infobox ET}}
{{EDO intro|727}}

== Theory ==
727edo is [[consistent]] to the [[7-odd-limit]]. Using the [[patent val]], it [[tempering out|tempers out]] 24057/24010, [[160083/160000]], 137781/137500 and 496125/495616 in the [[11-limit]]; [[729/728]], [[1716/1715]], 78975/78848, 34398/34375 and 160083/160000 in the [[13-limit]]. It [[support]]s [[exodia]].

=== Odd harmonics ===
{{Harmonics in equal|727}}

=== Subsets and supersets ===
727edo is the 129th [[prime EDO]].

== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
! 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
| {{monzo| -1152 727}}
| {{mapping|727 1152}}
| 0.1394
| 0.1394
| 8.45
|-
| 2.3.5
| {{monzo| 8 14 -13}}, {{monzo| -96 43 12}}
| {{mapping|727 1152 1688}}
| 0.1028
| 0.1250
| 7.57
|-
| 2.3.5.7
| 703125/702464, 5250987/5242880, 43046721/42875000
| {{mapping|727 1152 1688 2041}}
| 0.0693
| 0.1229
| 7.45
|-
| 2.3.5.7.11
| 24057/24010, 160083/160000, 137781/137500, 496125/495616
| {{mapping|727 1152 1688 2041 2515}}
| 0.0561
| 0.1130
| 6.84
|-
| 2.3.5.7.11.13
| 729/728, 1716/1715, 78975/78848, 34398/34375, 160083/160000
| {{mapping|727 1152 1688 2041 2515 2690}}
| 0.0631
| 0.1043
| 6.32
|}

=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
|+Table of rank-2 temperaments by generator
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>Ratio*
! Temperaments
|-
| 1
| 191\727
| 315.268
| 6/5
| [[Parakleismic]]
|}

<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct