1171edo - 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"

2026-03-13T13:32:21Z

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
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	\| [[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 ==

ArrowHead294 at 16:52, 18 February 2025

2025-02-18T16:52:38Z

← Older revision		Revision as of 16:52, 18 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|1171~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: /* Music */ +music

2025-02-12T12:27:31Z

Music: +music

← Older revision		Revision as of 12:27, 12 February 2025
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	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "Right On Friendly Lovers" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/208kkCqXksQWhT0zdxFXYm Spotify] \| [https://francium223.bandcamp.com/track/right-on-friendly-lovers Bandcamp] \| [https://www.youtube.com/watch?v=_qqisIAkVRc YouTube] − ~~friesachic~~ in 1171edo		* "Right On Friendly Lovers" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/208kkCqXksQWhT0zdxFXYm Spotify] \| [https://francium223.bandcamp.com/track/right-on-friendly-lovers Bandcamp] \| [https://www.youtube.com/watch?v=_qqisIAkVRc YouTube] − in Friesachic, 1171edo tuning
			* "Apply to a Print" from ''I Want To'' (2025) – [https://open.spotify.com/track/5botrdPX1YdFmk2mP6kbOr Spotify] \| [https://francium223.bandcamp.com/track/apply-to-a-print Bandcamp] \| [https://www.youtube.com/watch?v=ui-ORXPgqaE YouTube] – in Viljevic, 1171edo tuning

ArrowHead294 at 16:04, 15 January 2025

2025-01-15T16:04:46Z

← Older revision		Revision as of 16:04, 15 January 2025
Line 52:		Line 52:
	\| [[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]]
	* "Right On Friendly Lovers" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/208kkCqXksQWhT0zdxFXYm Spotify] \| [https://francium223.bandcamp.com/track/right-on-friendly-lovers Bandcamp] \| [https://www.youtube.com/watch?v=_qqisIAkVRc YouTube] − friesachic in 1171edo		* "Right On Friendly Lovers" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/208kkCqXksQWhT0zdxFXYm Spotify] \| [https://francium223.bandcamp.com/track/right-on-friendly-lovers Bandcamp] \| [https://www.youtube.com/watch?v=_qqisIAkVRc YouTube] − friesachic in 1171edo

Francium: +music

2024-12-02T12:04:24Z

+music

← Older revision		Revision as of 12:04, 2 December 2024
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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 it is distinct

			== Music ==
			; [[Francium]]
			* "Right On Friendly Lovers" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/208kkCqXksQWhT0zdxFXYm Spotify] \| [https://francium223.bandcamp.com/track/right-on-friendly-lovers Bandcamp] \| [https://www.youtube.com/watch?v=_qqisIAkVRc YouTube] − friesachic in 1171edo

ArrowHead294: Partial undo

2024-11-16T13:25:00Z

Partial undo

← Older revision		Revision as of 13:25, 16 November 2024
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	\| [[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

ArrowHead294: /* Rank-2 temperaments */

2024-11-16T00:48:42Z

Rank-2 temperaments

← Older revision		Revision as of 00:48, 16 November 2024
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	! Generator*		! Generator*
	! Cents*		! Cents*
	! Associated<br />~~Ratio~~		! Associated<br />ratio*
	! Temperaments		! Temperaments
	\|-		\|-

ArrowHead294 at 00:48, 16 November 2024

2024-11-16T00:48:30Z

← Older revision		Revision as of 00:48, 16 November 2024
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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
	\|-		\|-
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	\| [[Astro]]		\| [[Astro]]
	\|-		\|-
	\|1		\| 1
	\| 243\1171		\| 243\1171
	\| 249.018		\| 249.018
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	\| [[Monzismic]]		\| [[Monzismic]]
	\|-		\|-
	\|1		\| 1
	\| 315\1171		\| 315\1171
	\| 322.801		\| 322.801
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	\| [[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}}

FloraC: Note 2342edo; misc. cleanup

2023-10-31T10:16:40Z

Note 2342edo; misc. cleanup

← Older revision		Revision as of 10:16, 31 October 2023
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	== Theory ==		== Theory ==
	1171edo is a very strong 5-limit division, being the first one past [[612edo\|612]] with a lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]]. It has a 5-limit [[comma basis]] consisting of the [[monzisma]], {{monzo\| 54 -37 2 }} and whoosh, {{monzo\| 37 25 -33 }}. While not a strong higher-limit system, it is ~~uniquely~~ consistent through the [[27-odd-limit]], and is very strong on the 2.3.5.11 subgroup.		1171edo is a very strong 5-limit division, being the first one past [[612edo\|612]] with a lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]]. It has a 5-limit [[comma basis]] consisting of the [[monzisma]], {{monzo\| 54 -37 2 }} and whoosh, {{monzo\| 37 25 -33 }}. While not a strong higher-limit system, it is [[consistency\|distinctly consistent]] through the [[27-odd-limit]], and is very strong on the 2.3.5.11 [[subgroup]].

	=== Prime harmonics ===		=== Prime harmonics ===
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	1171edo is the 193rd [[prime edo]].		1171edo is the 193rd [[prime edo]]. [[2342edo]] which doubles it, corrects its [[harmonic]] [[7/1\|7]] to a near-just quality.

	== Regular temperament properties ==		== Regular temperament properties ==
	=== 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
			\|-
	! Periods<br>per 8ve		! Periods<br>per 8ve
	! Generator*		! Generator*

FloraC: Clarify the title row of the rank-2 temp table

2023-10-17T13:10:21Z

Clarify the title row of the rank-2 temp table

← Older revision		Revision as of 13:10, 17 October 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|1171}}		{{EDO intro\|1171}}

	== Theory ==		== Theory ==
	1171edo is a very strong 5-limit division, being the first one past [[612edo\|612]] with a lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]]. It has a 5-limit [[comma basis]] consisting of the [[monzisma]], {{monzo\| 54 -37 2 }} and whoosh, {{monzo\| 37 25 -33 }}. While not a strong higher-limit system, it is uniquely consistent through the [[27-odd-limit]], and is very strong on the 2.3.5.11 subgroup.		1171edo is a very strong 5-limit division, being the first one past [[612edo\|612]] with a lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]]. It has a 5-limit [[comma basis]] consisting of the [[monzisma]], {{monzo\| 54 -37 2 }} and whoosh, {{monzo\| 37 25 -33 }}. While not a strong higher-limit system, it is uniquely consistent through the [[27-odd-limit]], and is very strong on the 2.3.5.11 subgroup.
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	== Regular temperament properties ==		== Regular temperament properties ==

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{\| class="wikitable center-all left-5"		{\| class="wikitable center-all left-5"
	! Periods<br>per 8ve		! Periods<br>per 8ve
	! Generator~~<br>(Reduced)~~		! Generator*
	! Cents~~<br>(Reduced)~~		! Cents*
	! Associated<br>Ratio		! Associated<br>Ratio
	! Temperaments		! Temperaments
Line 50:		Line 50:
	\| [[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