3079edo - 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"

2026-03-13T13:31:37Z

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 61:		Line 61:
	\| [[Counterschismic]]		\| [[Counterschismic]]
	\|}		\|}
	<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]]
	* "mfdreamshoppedfashionforyou" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6paD6q5WZKPjgVW32P81sh Spotify] \| [https://francium223.bandcamp.com/track/mfdreamshoppedfashionforyou Bandcamp] \| [https://www.youtube.com/watch?v=xPxStKUUpFU YouTube] – acrosextilifourths[13] in 3079edo tuning		* "mfdreamshoppedfashionforyou" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6paD6q5WZKPjgVW32P81sh Spotify] \| [https://francium223.bandcamp.com/track/mfdreamshoppedfashionforyou Bandcamp] \| [https://www.youtube.com/watch?v=xPxStKUUpFU YouTube] – acrosextilifourths[13] in 3079edo tuning

Lériendil at 20:55, 1 April 2025

2025-04-01T20:55:50Z

← Older revision		Revision as of 20:55, 1 April 2025
Line 3:		Line 3:

	== Theory ==		== Theory ==
	3079edo is [[consistent]] to the [[9-odd-limit]]. As an equal temperament, it [[tempering out\|tempers out]] [[43046721/43025920]], 1220703125/1219784832 and {{monzo\| 51 -13 -1 -10 }} in the 7-limit, [[support]]ing [[~~acrosextilififths~~]].		3079edo is [[consistent]] to the [[9-odd-limit]]. As an equal temperament, it [[tempering out\|tempers out]] [[43046721/43025920]], 1220703125/1219784832 and {{monzo\| 51 -13 -1 -10 }} in the 7-limit, [[support]]ing [[acrosextilifourths]].

	=== Prime harmonics ===		=== Prime harmonics ===
Line 65:		Line 65:
	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "mfdreamshoppedfashionforyou" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6paD6q5WZKPjgVW32P81sh Spotify] \| [https://francium223.bandcamp.com/track/mfdreamshoppedfashionforyou Bandcamp] \| [https://www.youtube.com/watch?v=xPxStKUUpFU YouTube] – ~~acrosextilififths~~[13] in 3079edo tuning		* "mfdreamshoppedfashionforyou" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6paD6q5WZKPjgVW32P81sh Spotify] \| [https://francium223.bandcamp.com/track/mfdreamshoppedfashionforyou Bandcamp] \| [https://www.youtube.com/watch?v=xPxStKUUpFU YouTube] – acrosextilifourths[13] in 3079edo tuning

Francium: changed EDO intro to ED intro

2025-02-21T05:49:48Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:49, 21 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|3079~~}}		{{ED intro}}

	== Theory ==		== Theory ==

FloraC: /* Theory */ cleanup

2025-01-17T16:52:22Z

Theory: cleanup

← Older revision		Revision as of 16:52, 17 January 2025
Line 3:		Line 3:

	== Theory ==		== Theory ==
	3079edo is [[consistent]] to the [[9-odd-limit]]. It [[tempers out]] [[43046721/43025920]], 1220703125/1219784832 and {{monzo\|51 -13 -1 -10}} in the 7-limit, [[support]]ing [[acrosextilififths]].		3079edo is [[consistent]] to the [[9-odd-limit]]. As an equal temperament, it [[tempering out\|tempers out]] [[43046721/43025920]], 1220703125/1219784832 and {{monzo\| 51 -13 -1 -10 }} in the 7-limit, [[support]]ing [[acrosextilififths]].

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

ArrowHead294 at 16:52, 15 January 2025

2025-01-15T16:52:17Z

← Older revision		Revision as of 16:52, 15 January 2025
Line 3:		Line 3:

	== Theory ==		== Theory ==
	3079edo is [[consistent]] to the [[9-odd-limit]]. ~~The equal temperament~~ [[~~tempering out\|~~tempers out]] [[43046721/43025920]], 1220703125/1219784832 and {{monzo\|51 -13 -1 -10}} in the 7-limit~~. It~~ [[support]]s [[acrosextilififths]].		3079edo is [[consistent]] to the [[9-odd-limit]]. It [[tempers out]] [[43046721/43025920]], 1220703125/1219784832 and {{monzo\|51 -13 -1 -10}} in the 7-limit, [[support]]ing [[acrosextilififths]].

	=== Prime harmonics ===		=== Prime harmonics ===
Line 26:		Line 26:
	\| {{monzo\|-4880 3079}}		\| {{monzo\|-4880 3079}}
	\| {{mapping\|3079 4880}}		\| {{mapping\|3079 4880}}
	\| 0.0122		\| +0.0122
	\| 0.0122		\| 0.0122
	\| 3.13		\| 3.13
Line 33:		Line 33:
	\| {{monzo\| -69 45 -1 }}, {{monzo\| -50 -71 70 }}		\| {{monzo\| -69 45 -1 }}, {{monzo\| -50 -71 70 }}
	\| {{mapping\| 3079 4880 7149 }}		\| {{mapping\| 3079 4880 7149 }}
	\| 0.0203		\| +0.0203
	\| 0.0151		\| 0.0151
	\| 3.87		\| 3.87
Line 40:		Line 40:
	\| 43046721/43025920, 1220703125/1219784832, {{monzo\| 51 -13 -1 -10 }}		\| 43046721/43025920, 1220703125/1219784832, {{monzo\| 51 -13 -1 -10 }}
	\| {{mapping\| 3079 4880 7149 8644 }}		\| {{mapping\| 3079 4880 7149 8644 }}
	\| 0.0099		\| +0.0099
	\| 0.0223		\| 0.0223
	\| 5.72		\| 5.72
Line 61:		Line 61:
	\| [[Counterschismic]]		\| [[Counterschismic]]
	\|}		\|}
	<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]]
	* "mfdreamshoppedfashionforyou" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6paD6q5WZKPjgVW32P81sh Spotify] \| [https://francium223.bandcamp.com/track/mfdreamshoppedfashionforyou Bandcamp] \| [https://www.youtube.com/watch?v=xPxStKUUpFU YouTube] – acrosextilififths[13] in 3079edo tuning		* "mfdreamshoppedfashionforyou" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6paD6q5WZKPjgVW32P81sh Spotify] \| [https://francium223.bandcamp.com/track/mfdreamshoppedfashionforyou Bandcamp] \| [https://www.youtube.com/watch?v=xPxStKUUpFU YouTube] – acrosextilififths[13] in 3079edo tuning

ArrowHead294: Partial undo

2024-11-16T13:18:48Z

Partial undo

← Older revision		Revision as of 13:18, 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 34:		Line 43:
	\| 0.0223		\| 0.0223
	\| 5.72		\| 5.72
	~~{{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 44:		Line 60:
	\| 4/3		\| 4/3
	\| [[Counterschismic]]		\| [[Counterschismic]]
	~~{{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 ==
	; [[Francium]]		; [[Francium]]
	* "mfdreamshoppedfashionforyou" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6paD6q5WZKPjgVW32P81sh Spotify] \| [https://francium223.bandcamp.com/track/mfdreamshoppedfashionforyou Bandcamp] \| [https://www.youtube.com/watch?v=xPxStKUUpFU YouTube] – acrosextilififths[13] in 3079edo tuning		* "mfdreamshoppedfashionforyou" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6paD6q5WZKPjgVW32P81sh Spotify] \| [https://francium223.bandcamp.com/track/mfdreamshoppedfashionforyou Bandcamp] \| [https://www.youtube.com/watch?v=xPxStKUUpFU YouTube] – acrosextilififths[13] in 3079edo tuning

ArrowHead294 at 01:38, 16 November 2024

2024-11-16T01:38:47Z

← Older revision		Revision as of 01:38, 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
Line 43:		Line 34:
	\| 0.0223		\| 0.0223
	\| 5.72		\| 5.72
	\|}		{{comma basis end}}

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{~~\| class="wikitable center-all left-5"~~		{{rank-2 begin}}
	~~\|+ style="font-size: 105%;" \| Table of~~ rank-2 ~~temperaments by generator~~
	\|-
	~~! Periods<br />per 8ve~~
	! Generator*
	! Cents*
	! Associated<br />Ratio*
	~~! Temperaments~~
	\|-		\|-
	\| 1		\| 1
Line 60:		Line 44:
	\| 4/3		\| 4/3
	\| [[Counterschismic]]		\| [[Counterschismic]]
	\|}		{{rank-2 end}}
	{{orf}}		{{orf}}

	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "mfdreamshoppedfashionforyou" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6paD6q5WZKPjgVW32P81sh Spotify] \| [https://francium223.bandcamp.com/track/mfdreamshoppedfashionforyou Bandcamp] \| [https://www.youtube.com/watch?v=xPxStKUUpFU YouTube] – acrosextilififths[13] in 3079edo tuning		* "mfdreamshoppedfashionforyou" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6paD6q5WZKPjgVW32P81sh Spotify] \| [https://francium223.bandcamp.com/track/mfdreamshoppedfashionforyou Bandcamp] \| [https://www.youtube.com/watch?v=xPxStKUUpFU YouTube] – acrosextilififths[13] in 3079edo tuning

ArrowHead294 at 00:57, 16 November 2024

2024-11-16T00:57:10Z

← Older revision		Revision as of 00:57, 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
	\|-		\|-
Line 46:		Line 47:
	=== 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 59:		Line 61:
	\| [[Counterschismic]]		\| [[Counterschismic]]
	\|}		\|}
	~~<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]]
	* "mfdreamshoppedfashionforyou" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6paD6q5WZKPjgVW32P81sh Spotify] \| [https://francium223.bandcamp.com/track/mfdreamshoppedfashionforyou Bandcamp] \| [https://www.youtube.com/watch?v=xPxStKUUpFU YouTube] – acrosextilififths[13] in 3079edo tuning		* "mfdreamshoppedfashionforyou" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6paD6q5WZKPjgVW32P81sh Spotify] \| [https://francium223.bandcamp.com/track/mfdreamshoppedfashionforyou Bandcamp] \| [https://www.youtube.com/watch?v=xPxStKUUpFU YouTube] – acrosextilififths[13] in 3079edo tuning

Francium: +music

2024-06-08T12:25:53Z

+music

← Older revision		Revision as of 12:25, 8 June 2024
Line 60:		Line 60:
	\|}		\|}
	<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]]
			* "mfdreamshoppedfashionforyou" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6paD6q5WZKPjgVW32P81sh Spotify] \| [https://francium223.bandcamp.com/track/mfdreamshoppedfashionforyou Bandcamp] \| [https://www.youtube.com/watch?v=xPxStKUUpFU YouTube] – acrosextilififths[13] in 3079edo tuning

FloraC: Review

2024-05-15T12:25:14Z

Review

← Older revision		Revision as of 12:25, 15 May 2024
Line 3:		Line 3:

	== Theory ==		== Theory ==
	~~3079et~~ is [[consistent]] to the [[9-odd-limit]]. The equal temperament tempers out [[43046721/43025920]], 1220703125/1219784832 and {{monzo\|51 -13 -1 -10}} in the 7-limit. It [[support]]s [[acrosextilififths]].		3079edo is [[consistent]] to the [[9-odd-limit]]. The equal temperament [[tempering out\|tempers out]] [[43046721/43025920]], 1220703125/1219784832 and {{monzo\|51 -13 -1 -10}} in the 7-limit. It [[support]]s [[acrosextilififths]].

	=== Prime harmonics ===		=== Prime harmonics ===
Line 9:		Line 9:

	=== Subsets and supersets ===		=== Subsets and supersets ===
	3079edo is the 440th [[prime ~~EDO~~]].		3079edo is the 440th [[prime edo]].

	== 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]] (%)
	\|-		\|-
	\|2.3		\| 2.3
	\|{{monzo\|-4880 3079}}		\| {{monzo\|-4880 3079}}
	\|{{mapping\|3079 4880}}		\| {{mapping\|3079 4880}}
	\| 0.0122		\| 0.0122
	\| 0.0122		\| 0.0122
	\| 3.13		\| 3.13
	\|-		\|-
	\|2.3.5		\| 2.3.5
	\|{{monzo\|-69 45 -1}}, {{monzo\|-50 -71 70}}		\| {{monzo\| -69 45 -1 }}, {{monzo\| -50 -71 70 }}
	\|{{mapping\|3079 4880 7149}}		\| {{mapping\| 3079 4880 7149 }}
	\| 0.0203		\| 0.0203
	\| 0.0151		\| 0.0151
	\| 3.87		\| 3.87
	\|-		\|-
	\|2.3.5.7		\| 2.3.5.7
	\|43046721/43025920, 1220703125/1219784832, {{monzo\|51 -13 -1 -10}}		\| 43046721/43025920, 1220703125/1219784832, {{monzo\| 51 -13 -1 -10 }}
	\|{{mapping\|3079 4880 7149 8644}}		\| {{mapping\| 3079 4880 7149 8644 }}
	\| 0.0099		\| 0.0099
	\| 0.0223		\| 0.0223
Line 53:		Line 53:
	! Temperaments		! Temperaments
	\|-		\|-
	\|1		\| 1
	\|1278\3079		\| 1278\3079
	\|498.084		\| 498.084
	\|4/3		\| 4/3
	\|[[Counterschismic]]		\| [[Counterschismic]]
	\|}		\|}

	<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