1381edo - Revision history

FloraC: Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if it is distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

2026-03-13T13:44:03Z

Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if it is distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

← Older revision		Revision as of 13:44, 13 March 2026
Line 67:		Line 67:
	\| [[Quasiorwell]]		\| [[Quasiorwell]]
	\|}		\|}
	<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 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]]
	* "have you ever farted?" from ''Questions, Vol. 2'' (2025) – [https://open.spotify.com/track/07IdD7jSAsA6eIpC1y16oY Spotify] \| [https://francium223.bandcamp.com/track/have-you-ever-farted Bandcamp] \| [https://www.youtube.com/watch?v=_toBU3Ffex4 YouTube]		* "have you ever farted?" from ''Questions, Vol. 2'' (2025) – [https://open.spotify.com/track/07IdD7jSAsA6eIpC1y16oY Spotify] \| [https://francium223.bandcamp.com/track/have-you-ever-farted Bandcamp] \| [https://www.youtube.com/watch?v=_toBU3Ffex4 YouTube]

Francium: +music

2025-04-22T12:51:52Z

+music

← Older revision		Revision as of 12:51, 22 April 2025
Line 68:		Line 68:
	\|}		\|}
	<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 it is distinct

			== Music ==
			; [[Francium]]
			* "have you ever farted?" from ''Questions, Vol. 2'' (2025) – [https://open.spotify.com/track/07IdD7jSAsA6eIpC1y16oY Spotify] \| [https://francium223.bandcamp.com/track/have-you-ever-farted Bandcamp] \| [https://www.youtube.com/watch?v=_toBU3Ffex4 YouTube]

ArrowHead294 at 18:22, 20 February 2025

2025-02-20T18:22:03Z

← Older revision		Revision as of 18:22, 20 February 2025
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	=== 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 66:		Line 67:
	\| [[Quasiorwell]]		\| [[Quasiorwell]]
	\|}		\|}

	<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 it is distinct

Francium: changed EDO intro to ED intro

2025-02-19T18:11:58Z

changed EDO intro to ED intro

← Older revision		Revision as of 18:11, 19 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|1381~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: Created page with "{{Infobox ET}} {{EDO intro|1381}} == Theory == 1381edo is consistent to the 9-odd-limit, tempering out 2401/2400, 29360128/29296875 and {{monzo|33 -37 5 5}} i..."

2025-02-13T20:50:33Z

Created page with "{{Infobox ET}} {{EDO intro|1381}} == Theory == 1381edo is consistent to the 9-odd-limit, tempering out 2401/2400, 29360128/29296875 and {{monzo|33 -37 5 5}} i..."

New page

{{Infobox ET}}
{{EDO intro|1381}}

== Theory ==
1381edo is [[consistent]] to the [[9-odd-limit]], [[tempering out]] [[2401/2400]], 29360128/29296875 and {{monzo|33 -37 5 5}} in the [[7-limit]]. It is strong in the 2.3.7.23.29 [[subgroup]], tempering out 60817408/60761421, 5888/5887, 121025149/120932352 and 661153497088/660379746861. Using the 2.3.7.23.37 subgroup, it tempers out [[1702/1701]]. The equal temperament [[support]]s [[quasiorwell]].

=== Odd harmonics ===
{{Harmonics in equal|1381}}

=== Subsets and supersets ===
1381edo is the 221st [[prime edo]]. [[2762edo]], which doubles it, gives a good correction to the [[harmonic]] [[11/1|11]].

== 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|2189 -1381}}
| {{mapping|1381 2189}}
| −0.0457
| 0.0457
| 5.26
|-
| 2.3.5
| {{monzo|-16 35 -17}}, {{monzo|93 -3 -38}}
| {{mapping|1381 2189 3207}}
| −0.0825
| 0.0641
| 7.38
|-
| 2.3.5.7
| 2401/2400, 29360128/29296875, {{monzo|33 -37 5 5}}
| {{mapping|1381 2189 3207 3877}}
| −0.0652
| 0.0631
| 7.26
|}

=== 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
| 210\1381
| 182.476
| 10/9
| [[Minortone]]
|-
| 1
| 312\1381
| 271.108
| 1024/875
| [[Quasiorwell]]
|}

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