1193edo - 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"

2026-03-13T13:32:52Z

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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	\| [[Dodifo]]		\| [[Dodifo]]
	\|}		\|}
	<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 */ typo

2025-10-17T11:16:55Z

Music: typo

← Older revision		Revision as of 11:16, 17 October 2025
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	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "I Made A Gross Mistake" from ''Gross Temperament EP'' (2023) [https://open.spotify.com/track/1hLYQFf1K97uv4jOAaGzgS Spotify] \| [https://francium223.bandcamp.com/track/i-made-a-gross-mistake Bandcamp] \| [https://www.youtube.com/watch?v=FRdrzOkAKic YouTube] ~~–in~~ Gross, 1193edo tuning		* "I Made A Gross Mistake" from ''Gross Temperament EP'' (2023) [https://open.spotify.com/track/1hLYQFf1K97uv4jOAaGzgS Spotify] \| [https://francium223.bandcamp.com/track/i-made-a-gross-mistake Bandcamp] \| [https://www.youtube.com/watch?v=FRdrzOkAKic YouTube] – in Gross, 1193edo tuning
	* ''1193'' (2024) – [https://open.spotify.com/album/4lJGqEt76mFGRbxWQmT6vo Spotify] \| [https://francium223.bandcamp.com/album/1193 bandcamp] \| [https://www.youtube.com/playlist?list=PLLZE7hMjEXRatIUXyBQyjNvDsiV40JAmk YouTube] – 4-piece EP in 1193edo		* ''1193'' (2024) – [https://open.spotify.com/album/4lJGqEt76mFGRbxWQmT6vo Spotify] \| [https://francium223.bandcamp.com/album/1193 bandcamp] \| [https://www.youtube.com/playlist?list=PLLZE7hMjEXRatIUXyBQyjNvDsiV40JAmk YouTube] – 4-piece EP in 1193edo
	* "you PEE?" from ''Things to Scream at People'' (2025) – [https://open.spotify.com/track/2Ytiwi2HPEOU5xL4rF2aBn Spotify] \| [https://francium223.bandcamp.com/track/you-pee Bandcamp] \| [https://www.youtube.com/watch?v=zEuvjhOM_K0 YouTube]		* "you PEE?" from ''Things to Scream at People'' (2025) – [https://open.spotify.com/track/2Ytiwi2HPEOU5xL4rF2aBn Spotify] \| [https://francium223.bandcamp.com/track/you-pee Bandcamp] \| [https://www.youtube.com/watch?v=zEuvjhOM_K0 YouTube]

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

Francium: /* Music */ +music

2025-10-17T11:16:32Z

Music: +music

← Older revision		Revision as of 11:16, 17 October 2025
Line 97:		Line 97:

	== Music ==		== Music ==
	; [[~~User:Francium\|~~Francium]]		; [[Francium]]
	* "I Made A Gross Mistake" from ''Gross Temperament EP'' (2023) [https://open.spotify.com/track/1hLYQFf1K97uv4jOAaGzgS Spotify] \| [https://francium223.bandcamp.com/track/i-made-a-gross-mistake Bandcamp] \| [https://www.youtube.com/watch?v=FRdrzOkAKic YouTube] ~~– gross in~~ 1193edo		* "I Made A Gross Mistake" from ''Gross Temperament EP'' (2023) [https://open.spotify.com/track/1hLYQFf1K97uv4jOAaGzgS Spotify] \| [https://francium223.bandcamp.com/track/i-made-a-gross-mistake Bandcamp] \| [https://www.youtube.com/watch?v=FRdrzOkAKic YouTube] –in Gross, 1193edo tuning
	* ''1193'' (2024) – [https://open.spotify.com/album/4lJGqEt76mFGRbxWQmT6vo Spotify] \| [https://francium223.bandcamp.com/album/1193 bandcamp] \| [https://www.youtube.com/playlist?list=PLLZE7hMjEXRatIUXyBQyjNvDsiV40JAmk YouTube] – 4-piece EP in 1193edo		* ''1193'' (2024) – [https://open.spotify.com/album/4lJGqEt76mFGRbxWQmT6vo Spotify] \| [https://francium223.bandcamp.com/album/1193 bandcamp] \| [https://www.youtube.com/playlist?list=PLLZE7hMjEXRatIUXyBQyjNvDsiV40JAmk YouTube] – 4-piece EP in 1193edo
			* "you PEE?" from ''Things to Scream at People'' (2025) – [https://open.spotify.com/track/2Ytiwi2HPEOU5xL4rF2aBn Spotify] \| [https://francium223.bandcamp.com/track/you-pee Bandcamp] \| [https://www.youtube.com/watch?v=zEuvjhOM_K0 YouTube]

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

Francium: changed EDO intro to ED intro

2025-02-21T06:13:00Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:13, 21 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	== Theory ==		== Theory ==

ArrowHead294 at 19:21, 15 January 2025

2025-01-15T19:21:48Z

← Older revision		Revision as of 19:21, 15 January 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro~~\|1193~~}}		{{EDO intro}}

	== Theory ==		== Theory ==
Line 26:		Line 26:
	\| {{monzo\| 1891 -1193 }}		\| {{monzo\| 1891 -1193 }}
	\| {{mapping\| 1193 1891 }}		\| {{mapping\| 1193 1891 }}
	\| ~~−0~~.0443		\| −0.0443
	\| 0.0443		\| 0.0443
	\| 4.41		\| 4.41
Line 33:		Line 33:
	\| {{monzo\| 10 -40 -23 }}, {{monzo\| 77 -31 -12 }}		\| {{monzo\| 10 -40 -23 }}, {{monzo\| 77 -31 -12 }}
	\| {{mapping\| 1193 1891 2770 }}		\| {{mapping\| 1193 1891 2770 }}
	\| ~~−0~~.0209		\| −0.0209
	\| 0.0491		\| 0.0491
	\| 4.88		\| 4.88
Line 40:		Line 40:
	\| 2401/2400, {{monzo\| -13 -12 15 -1 }}, {{monzo\| 41 -15 -5 -2 }}		\| 2401/2400, {{monzo\| -13 -12 15 -1 }}, {{monzo\| 41 -15 -5 -2 }}
	\| {{mapping\| 1193 1891 2770 3349 }}		\| {{mapping\| 1193 1891 2770 3349 }}
	\| ~~−0~~.000028		\| −0.000028
	\| 0.0558		\| 0.0558
	\| 5.55		\| 5.55
Line 54:		Line 54:
	\| 2401/2400, 3025/3024, 4096/4095, 78125/78078, 114345/114244		\| 2401/2400, 3025/3024, 4096/4095, 78125/78078, 114345/114244
	\| {{mapping\| 1193 1891 2770 3349 4127 4415 }}		\| {{mapping\| 1193 1891 2770 3349 4127 4415 }}
	\| ~~−0~~.0121		\| −0.0121
	\| 0.0617		\| 0.0617
	\| 6.14		\| 6.14
Line 94:		Line 94:
	\| [[Dodifo]]		\| [[Dodifo]]
	\|}		\|}
	<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 ==
	; [[User:Francium\|Francium]]		; [[User:Francium\|Francium]]
	* "I Made A Gross Mistake" from ''Gross Temperament EP'' (2023) [https://open.spotify.com/track/1hLYQFf1K97uv4jOAaGzgS Spotify] \| [https://francium223.bandcamp.com/track/i-made-a-gross-mistake Bandcamp] \| [https://www.youtube.com/watch?v=FRdrzOkAKic YouTube] ~~–~~ gross in 1193edo		* "I Made A Gross Mistake" from ''Gross Temperament EP'' (2023) [https://open.spotify.com/track/1hLYQFf1K97uv4jOAaGzgS Spotify] \| [https://francium223.bandcamp.com/track/i-made-a-gross-mistake Bandcamp] \| [https://www.youtube.com/watch?v=FRdrzOkAKic YouTube] – gross in 1193edo
	* ''1193'' (2024) ~~–~~ [https://open.spotify.com/album/4lJGqEt76mFGRbxWQmT6vo Spotify] \| [https://francium223.bandcamp.com/album/1193 bandcamp] \| [https://www.youtube.com/playlist?list=PLLZE7hMjEXRatIUXyBQyjNvDsiV40JAmk YouTube] ~~–~~ 4-piece EP in 1193edo		* ''1193'' (2024) – [https://open.spotify.com/album/4lJGqEt76mFGRbxWQmT6vo Spotify] \| [https://francium223.bandcamp.com/album/1193 bandcamp] \| [https://www.youtube.com/playlist?list=PLLZE7hMjEXRatIUXyBQyjNvDsiV40JAmk YouTube] – 4-piece EP in 1193edo

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

ArrowHead294: Partial undo

2024-11-16T12:55:07Z

Partial undo

← Older revision		Revision as of 12:55, 16 November 2024
Line 12:		Line 12:

	== 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
Line 55:		Line 64:
	\| 0.0664		\| 0.0664
	\| 6.60		\| 6.60
	~~{{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
Line 77:		Line 93:
	\| 768/625		\| 768/625
	\| [[Dodifo]]		\| [[Dodifo]]
	~~{{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 03:17, 16 November 2024

2024-11-16T03:17:56Z

← Older revision		Revision as of 03:17, 16 November 2024
Line 12:		Line 12:

	== 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
	\| {{monzo\| 1891 -1193 }}		\| {{monzo\| 1891 -1193 }}
	\| {{mapping\| 1193 1891 }}		\| {{mapping\| 1193 1891 }}
	\| -0.0443		\| −0.0443
	\| 0.0443		\| 0.0443
	\| 4.41		\| 4.41
Line 32:		Line 24:
	\| {{monzo\| 10 -40 -23 }}, {{monzo\| 77 -31 -12 }}		\| {{monzo\| 10 -40 -23 }}, {{monzo\| 77 -31 -12 }}
	\| {{mapping\| 1193 1891 2770 }}		\| {{mapping\| 1193 1891 2770 }}
	\| -0.0209		\| −0.0209
	\| 0.0491		\| 0.0491
	\| 4.88		\| 4.88
Line 39:		Line 31:
	\| 2401/2400, {{monzo\| -13 -12 15 -1 }}, {{monzo\| 41 -15 -5 -2 }}		\| 2401/2400, {{monzo\| -13 -12 15 -1 }}, {{monzo\| 41 -15 -5 -2 }}
	\| {{mapping\| 1193 1891 2770 3349 }}		\| {{mapping\| 1193 1891 2770 3349 }}
	\| -0.000028		\| −0.000028
	\| 0.0558		\| 0.0558
	\| 5.55		\| 5.55
Line 53:		Line 45:
	\| 2401/2400, 3025/3024, 4096/4095, 78125/78078, 114345/114244		\| 2401/2400, 3025/3024, 4096/4095, 78125/78078, 114345/114244
	\| {{mapping\| 1193 1891 2770 3349 4127 4415 }}		\| {{mapping\| 1193 1891 2770 3349 4127 4415 }}
	\| -0.0121		\| −0.0121
	\| 0.0617		\| 0.0617
	\| 6.14		\| 6.14
Line 63:		Line 55:
	\| 0.0664		\| 0.0664
	\| 6.60		\| 6.60
	\|}		{{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
Line 91:		Line 77:
	\| 768/625		\| 768/625
	\| [[Dodifo]]		\| [[Dodifo]]
	\|}		{{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 ==
	; [[User:Francium\|Francium]]		; [[User:Francium\|Francium]]
	* "I Made A Gross Mistake" from ''Gross Temperament EP'' (2023) [https://open.spotify.com/track/1hLYQFf1K97uv4jOAaGzgS Spotify] \| [https://francium223.bandcamp.com/track/i-made-a-gross-mistake Bandcamp] \| [https://www.youtube.com/watch?v=FRdrzOkAKic YouTube] – gross in 1193edo		* "I Made A Gross Mistake" from ''Gross Temperament EP'' (2023) [https://open.spotify.com/track/1hLYQFf1K97uv4jOAaGzgS Spotify] \| [https://francium223.bandcamp.com/track/i-made-a-gross-mistake Bandcamp] \| [https://www.youtube.com/watch?v=FRdrzOkAKic YouTube] – gross in 1193edo
	* ''1193'' (2024) – [https://open.spotify.com/album/4lJGqEt76mFGRbxWQmT6vo Spotify] \| [https://francium223.bandcamp.com/album/1193 bandcamp] \| [https://www.youtube.com/playlist?list=PLLZE7hMjEXRatIUXyBQyjNvDsiV40JAmk YouTube] – 4-piece EP in 1193edo		* ''1193'' (2024) – [https://open.spotify.com/album/4lJGqEt76mFGRbxWQmT6vo Spotify] \| [https://francium223.bandcamp.com/album/1193 bandcamp] \| [https://www.youtube.com/playlist?list=PLLZE7hMjEXRatIUXyBQyjNvDsiV40JAmk YouTube] – 4-piece EP in 1193edo

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

FloraC: /* Theory */ nullity-1 temps are best given by commas

2024-11-08T12:44:35Z

Theory: nullity-1 temps are best given by commas

← Older revision		Revision as of 12:44, 8 November 2024
Line 3:		Line 3:

	== Theory ==		== Theory ==
	1193edo is [[consistent]] to the [[11-odd-limit]]. ~~The~~ equal temperament [[tempering out\|tempers out]] [[2401/2400]] in the 7-limit; [[3025/3024]], [[41503/41472]], 151263/151250, 17561600/17537553, 26214400/26198073, 95703125/95664294, and [[117440512/117406179]] in the 11-limit~~. It supports the [[gross]] temperament~~.		1193edo is [[consistent]] to the [[11-odd-limit]]. As an equal temperament, it [[tempering out\|tempers out]] {{monzo\| 144 -22 -47 }} (gross comma) in the 5-limit; [[2401/2400]] in the 7-limit; [[3025/3024]], [[41503/41472]], 151263/151250, 17561600/17537553, 26214400/26198073, 95703125/95664294, and [[117440512/117406179]] in the 11-limit.

	=== Prime harmonics ===		=== Prime harmonics ===

Francium: /* Music */ +music

2024-11-04T15:38:29Z

Music: +music

← Older revision		Revision as of 15:38, 4 November 2024
Line 97:		Line 97:
	; [[User:Francium\|Francium]]		; [[User:Francium\|Francium]]
	* "I Made A Gross Mistake" from ''Gross Temperament EP'' (2023) [https://open.spotify.com/track/1hLYQFf1K97uv4jOAaGzgS Spotify] \| [https://francium223.bandcamp.com/track/i-made-a-gross-mistake Bandcamp] \| [https://www.youtube.com/watch?v=FRdrzOkAKic YouTube] – gross in 1193edo		* "I Made A Gross Mistake" from ''Gross Temperament EP'' (2023) [https://open.spotify.com/track/1hLYQFf1K97uv4jOAaGzgS Spotify] \| [https://francium223.bandcamp.com/track/i-made-a-gross-mistake Bandcamp] \| [https://www.youtube.com/watch?v=FRdrzOkAKic YouTube] – gross in 1193edo
			* ''1193'' (2024) – [https://open.spotify.com/album/4lJGqEt76mFGRbxWQmT6vo Spotify] \| [https://francium223.bandcamp.com/album/1193 bandcamp] \| [https://www.youtube.com/playlist?list=PLLZE7hMjEXRatIUXyBQyjNvDsiV40JAmk YouTube] – 4-piece EP in 1193edo

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

Francium: +categories

2024-02-13T18:24:26Z

+categories

← Older revision		Revision as of 18:24, 13 February 2024
Line 97:		Line 97:
	; [[User:Francium\|Francium]]		; [[User:Francium\|Francium]]
	* "I Made A Gross Mistake" from ''Gross Temperament EP'' (2023) [https://open.spotify.com/track/1hLYQFf1K97uv4jOAaGzgS Spotify] \| [https://francium223.bandcamp.com/track/i-made-a-gross-mistake Bandcamp] \| [https://www.youtube.com/watch?v=FRdrzOkAKic YouTube] – gross in 1193edo		* "I Made A Gross Mistake" from ''Gross Temperament EP'' (2023) [https://open.spotify.com/track/1hLYQFf1K97uv4jOAaGzgS Spotify] \| [https://francium223.bandcamp.com/track/i-made-a-gross-mistake Bandcamp] \| [https://www.youtube.com/watch?v=FRdrzOkAKic YouTube] – gross in 1193edo

			[[Category:Listen]]