577edo - Revision history

ArrowHead294 at 12:43, 21 February 2025

2025-02-21T12:43:58Z

← Older revision		Revision as of 12:43, 21 February 2025
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]]
	! 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]] (%)
Line 32:		Line 33:
	\| {{monzo\| -7 11 -12 }}, {{monzo\| 125 -5 -47 }}		\| {{monzo\| -7 11 -12 }}, {{monzo\| 125 -5 -47 }}
	\| {{mapping\| 577 1829 1340 }}		\| {{mapping\| 577 1829 1340 }}
	\| -0.0637		\| −0.0637
	\| 0.1124		\| 0.1124
	\| 5.40		\| 5.40
Line 39:		Line 40:
	\| 26873856/26796875, 184528125/184473632, 1640558367/1638400000		\| 26873856/26796875, 184528125/184473632, 1640558367/1638400000
	\| {{mapping\| 577 1829 1340 1620 }}		\| {{mapping\| 577 1829 1340 1620 }}
	\| -0.0767		\| −0.0767
	\| 0.0999		\| 0.0999
	\| 4.80		\| 4.80
Line 46:		Line 47:
	\| 5632/5625, 102487/102400, 151263/151250, 472392/471625		\| 5632/5625, 102487/102400, 151263/151250, 472392/471625
	\| {{mapping\| 577 1829 1340 1620 1996 }}		\| {{mapping\| 577 1829 1340 1620 1996 }}
	\| -0.0503		\| −0.0503
	\| 0.1038		\| 0.1038
	\| 4.99		\| 4.99
Line 53:		Line 54:
	\| 1001/1000, 10648/10647, 10985/10976, 75712/75625, 472392/471625		\| 1001/1000, 10648/10647, 10985/10976, 75712/75625, 472392/471625
	\| {{mapping\| 577 1829 1340 1620 1996 2135 }}		\| {{mapping\| 577 1829 1340 1620 1996 2135 }}
	\| -0.0275		\| −0.0275
	\| 0.1076		\| 0.1076
	\| 5.17		\| 5.17

Francium: changed EDO intro to ED intro

2025-02-21T06:03:17Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:03, 21 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|577~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: /* Music */ +music

2024-10-05T12:07:11Z

Music: +music

← Older revision		Revision as of 12:07, 5 October 2024
Line 63:		Line 63:
	* "Gore Pile" from ''You Are A...'' (2024) – [https://open.spotify.com/track/0P0WNf7bAm0WHgDlGlGgY5 Spotify] \| [https://francium223.bandcamp.com/track/gore-pile Bandcamp] \| [https://www.youtube.com/watch?v=DLJdsP5AvdA YouTube]		* "Gore Pile" from ''You Are A...'' (2024) – [https://open.spotify.com/track/0P0WNf7bAm0WHgDlGlGgY5 Spotify] \| [https://francium223.bandcamp.com/track/gore-pile Bandcamp] \| [https://www.youtube.com/watch?v=DLJdsP5AvdA YouTube]
	* "QUACK" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/2JVr8aUTYoM4pqSDZ2v8Jc Spotify] \| [https://francium223.bandcamp.com/track/quack Bandcamp] \| [https://www.youtube.com/watch?v=jnDMYcyEFmk YouTube]		* "QUACK" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/2JVr8aUTYoM4pqSDZ2v8Jc Spotify] \| [https://francium223.bandcamp.com/track/quack Bandcamp] \| [https://www.youtube.com/watch?v=jnDMYcyEFmk YouTube]
			* "Rolling My Eye Ball" from ''Abbreviations Gone Wrong'' (2024) – [https://open.spotify.com/track/4M9rZmFwo7Wh7E2FUWcxR3 Spotify] \| [https://francium223.bandcamp.com/track/rolling-my-eye-ball Bandcamp] \| [https://www.youtube.com/watch?v=j6LEETAtTos YouTube]

Francium: /* Music */ +music

2024-08-26T12:07:45Z

Music: +music

← Older revision		Revision as of 12:07, 26 August 2024
Line 62:		Line 62:
	* "iloveinstallations" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/0vmk6yMSwTdBI53cx8XsVM Spotify] \| [https://francium223.bandcamp.com/track/iloveinstallations Bandcamp] \| [https://www.youtube.com/watch?v=Buv51YyfYdo YouTube]		* "iloveinstallations" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/0vmk6yMSwTdBI53cx8XsVM Spotify] \| [https://francium223.bandcamp.com/track/iloveinstallations Bandcamp] \| [https://www.youtube.com/watch?v=Buv51YyfYdo YouTube]
	* "Gore Pile" from ''You Are A...'' (2024) – [https://open.spotify.com/track/0P0WNf7bAm0WHgDlGlGgY5 Spotify] \| [https://francium223.bandcamp.com/track/gore-pile Bandcamp] \| [https://www.youtube.com/watch?v=DLJdsP5AvdA YouTube]		* "Gore Pile" from ''You Are A...'' (2024) – [https://open.spotify.com/track/0P0WNf7bAm0WHgDlGlGgY5 Spotify] \| [https://francium223.bandcamp.com/track/gore-pile Bandcamp] \| [https://www.youtube.com/watch?v=DLJdsP5AvdA YouTube]
			* "QUACK" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/2JVr8aUTYoM4pqSDZ2v8Jc Spotify] \| [https://francium223.bandcamp.com/track/quack Bandcamp] \| [https://www.youtube.com/watch?v=jnDMYcyEFmk YouTube]

Francium: /* Music */ +music

2024-07-20T15:34:07Z

Music: +music

← Older revision		Revision as of 15:34, 20 July 2024
Line 61:		Line 61:
	; [[Francium]]		; [[Francium]]
	* "iloveinstallations" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/0vmk6yMSwTdBI53cx8XsVM Spotify] \| [https://francium223.bandcamp.com/track/iloveinstallations Bandcamp] \| [https://www.youtube.com/watch?v=Buv51YyfYdo YouTube]		* "iloveinstallations" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/0vmk6yMSwTdBI53cx8XsVM Spotify] \| [https://francium223.bandcamp.com/track/iloveinstallations Bandcamp] \| [https://www.youtube.com/watch?v=Buv51YyfYdo YouTube]
			* "Gore Pile" from ''You Are A...'' (2024) – [https://open.spotify.com/track/0P0WNf7bAm0WHgDlGlGgY5 Spotify] \| [https://francium223.bandcamp.com/track/gore-pile Bandcamp] \| [https://www.youtube.com/watch?v=DLJdsP5AvdA YouTube]

Francium: /* Music */ +links

2024-06-07T14:57:28Z

Music: +links

← Older revision		Revision as of 14:57, 7 June 2024
Line 60:		Line 60:
	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "iloveinstallations" from ''albumwithoutspaces'' (2024) – [https://francium223.bandcamp.com/track/iloveinstallations Bandcamp] \| [https://www.youtube.com/watch?v=Buv51YyfYdo YouTube]		* "iloveinstallations" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/0vmk6yMSwTdBI53cx8XsVM Spotify] \| [https://francium223.bandcamp.com/track/iloveinstallations Bandcamp] \| [https://www.youtube.com/watch?v=Buv51YyfYdo YouTube]

Francium: +music

2024-06-02T12:22:10Z

+music

← Older revision		Revision as of 12:22, 2 June 2024
Line 57:		Line 57:
	\| 5.17		\| 5.17
	\|}		\|}

			== Music ==
			; [[Francium]]
			* "iloveinstallations" from ''albumwithoutspaces'' (2024) – [https://francium223.bandcamp.com/track/iloveinstallations Bandcamp] \| [https://www.youtube.com/watch?v=Buv51YyfYdo YouTube]

FloraC: Review

2024-03-07T11:11:55Z

Review

← Older revision		Revision as of 11:11, 7 March 2024
Line 3:		Line 3:

	== Theory ==		== Theory ==
	~~577et~~ is consistent to the [[7-odd-limit]] ~~and~~ its [[harmonic]] [[3/1\|3]] is about halfway its steps. ~~Using~~ the ~~patent val~~, it tempers out 26873856/26796875, 184528125/184473632 and [[1640558367/1638400000]] in the 7-limit; [[5632/5625]], 151263/151250, 472392/471625 ~~and 102487/102400~~ in the 11-limit.		577edo is [[consistent]] to the [[7-odd-limit]], but its [[harmonic]] [[3/1\|3]] is about halfway its steps. In the 2.9.5.7.11 [[subgroup]] interpretation, it tempers out 26873856/26796875, 184528125/184473632 and [[1640558367/1638400000]] in the 7-limit; [[5632/5625]], 102487/102400, 151263/151250, and 472392/471625 in the 11-limit.

	=== Odd harmonics ===		=== Odd harmonics ===
	{{Harmonics in equal\|577}}		{{Harmonics in equal\|577}}

	===Subsets and supersets===		=== Subsets and supersets ===
	577edo is the 106th [[prime ~~EDO~~]]. [[1154edo]], which doubles it, gives a good correction to the harmonic 3, but it does poorly in the harmonics 5 and 7. [[2308edo]], which quadruples it, also gives a good correction to the harmonic 3 and ~~its~~ consistent to the [[11-odd-limit]].		577edo is the 106th [[prime edo]]. [[1154edo]], which doubles it, gives a good correction to the harmonic 3, but it does poorly in the harmonics 5 and 7. [[2308edo]], which quadruples it, also gives a good correction to the harmonic 3 and is consistent to the [[11-odd-limit]].

	== 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]] (%)
	\|-		\|-
	\|2.9		\| 2.9
	\|{{monzo\|-1829 577}}		\| {{monzo\| -1829 577 }}
	\|{{mapping\|577 1829}}		\| {{mapping\| 577 1829 }}
	\| +0.0153		\| +0.0153
	\| 0.0153		\| 0.0153
	\| 0.74		\| 0.74
	\|-		\|-
	\|2.9.5		\| 2.9.5
	\|{{monzo\|-7 11 -12}}, {{monzo\|125 -5 -47}}		\| {{monzo\| -7 11 -12 }}, {{monzo\| 125 -5 -47 }}
	\|{{mapping\|577 1829 1340}}		\| {{mapping\| 577 1829 1340 }}
	\| -0.0637		\| -0.0637
	\| 0.1124		\| 0.1124
	\| 5.40		\| 5.40
	\|-		\|-
	\|2.9.5.7		\| 2.9.5.7
	\|26873856/26796875, 184528125/184473632, 1640558367/1638400000		\| 26873856/26796875, 184528125/184473632, 1640558367/1638400000
	\|{{mapping\|577 1829 1340 1620}}		\| {{mapping\| 577 1829 1340 1620 }}
	\| -0.0767		\| -0.0767
	\| 0.0999		\| 0.0999
	\| 4.80		\| 4.80
	\|-		\|-
	\|2.9.5.7.11		\| 2.9.5.7.11
	\|5632/5625, 151263/151250, 472392/471625~~, 102487/102400~~		\| 5632/5625, 102487/102400, 151263/151250, 472392/471625
	\|{{mapping\|577 1829 1340 1620 1996}}		\| {{mapping\| 577 1829 1340 1620 1996 }}
	\| -0.0503		\| -0.0503
	\| 0.1038		\| 0.1038
	\| 4.99		\| 4.99
	\|-		\|-
	\|2.9.5.7.11.13		\| 2.9.5.7.11.13
	\|1001/1000, 10648/10647, 10985/10976, 75712/75625, 472392/471625		\| 1001/1000, 10648/10647, 10985/10976, 75712/75625, 472392/471625
	\|{{mapping\|577 1829 1340 1620 1996 2135}}		\| {{mapping\| 577 1829 1340 1620 1996 2135 }}
	\| -0.0275		\| -0.0275
	\| 0.1076		\| 0.1076
	\| 5.17		\| 5.17
	\|}		\|}

Francium: Created page with "{{Infobox ET}} {{EDO intro|577}} == Theory == 577et is consistent to the 7-odd-limit and its harmonic 3 is about halfway its steps. Using the patent val, it t..."

2024-03-06T16:47:43Z

Created page with "{{Infobox ET}} {{EDO intro|577}} == Theory == 577et is consistent to the 7-odd-limit and its harmonic 3 is about halfway its steps. Using the patent val, it t..."

New page

{{Infobox ET}}
{{EDO intro|577}}

== Theory ==
577et is consistent to the [[7-odd-limit]] and its [[harmonic]] [[3/1|3]] is about halfway its steps. Using the patent val, it tempers out 26873856/26796875, 184528125/184473632 and [[1640558367/1638400000]] in the 7-limit; [[5632/5625]], 151263/151250, 472392/471625 and 102487/102400 in the 11-limit.

=== Odd harmonics ===
{{Harmonics in equal|577}}

===Subsets and supersets===
577edo is the 106th [[prime EDO]]. [[1154edo]], which doubles it, gives a good correction to the harmonic 3, but it does poorly in the harmonics 5 and 7. [[2308edo]], which quadruples it, also gives a good correction to the harmonic 3 and its consistent to the [[11-odd-limit]].

== 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]] (%)
|-
|2.9
|{{monzo|-1829 577}}
|{{mapping|577 1829}}
| +0.0153
| 0.0153
| 0.74
|-
|2.9.5
|{{monzo|-7 11 -12}}, {{monzo|125 -5 -47}}
|{{mapping|577 1829 1340}}
| -0.0637
| 0.1124
| 5.40
|-
|2.9.5.7
|26873856/26796875, 184528125/184473632, 1640558367/1638400000
|{{mapping|577 1829 1340 1620}}
| -0.0767
| 0.0999
| 4.80
|-
|2.9.5.7.11
|5632/5625, 151263/151250, 472392/471625, 102487/102400
|{{mapping|577 1829 1340 1620 1996}}
| -0.0503
| 0.1038
| 4.99
|-
|2.9.5.7.11.13
|1001/1000, 10648/10647, 10985/10976, 75712/75625, 472392/471625
|{{mapping|577 1829 1340 1620 1996 2135}}
| -0.0275
| 0.1076
| 5.17
|}

← Older revision		Revision as of 12:07, 5 October 2024
Line 63:		Line 63:
	* "Gore Pile" from ''You Are A...'' (2024) – [https://open.spotify.com/track/0P0WNf7bAm0WHgDlGlGgY5 Spotify] \| [https://francium223.bandcamp.com/track/gore-pile Bandcamp] \| [https://www.youtube.com/watch?v=DLJdsP5AvdA YouTube]		* "Gore Pile" from ''You Are A...'' (2024) – [https://open.spotify.com/track/0P0WNf7bAm0WHgDlGlGgY5 Spotify] \| [https://francium223.bandcamp.com/track/gore-pile Bandcamp] \| [https://www.youtube.com/watch?v=DLJdsP5AvdA YouTube]
	* "QUACK" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/2JVr8aUTYoM4pqSDZ2v8Jc Spotify] \| [https://francium223.bandcamp.com/track/quack Bandcamp] \| [https://www.youtube.com/watch?v=jnDMYcyEFmk YouTube]		* "QUACK" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/2JVr8aUTYoM4pqSDZ2v8Jc Spotify] \| [https://francium223.bandcamp.com/track/quack Bandcamp] \| [https://www.youtube.com/watch?v=jnDMYcyEFmk YouTube]
			* "Rolling My Eye Ball" from ''Abbreviations Gone Wrong'' (2024) – [https://open.spotify.com/track/4M9rZmFwo7Wh7E2FUWcxR3 Spotify] \| [https://francium223.bandcamp.com/track/rolling-my-eye-ball Bandcamp] \| [https://www.youtube.com/watch?v=j6LEETAtTos YouTube]

← Older revision		Revision as of 12:07, 26 August 2024
Line 62:		Line 62:
	* "iloveinstallations" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/0vmk6yMSwTdBI53cx8XsVM Spotify] \| [https://francium223.bandcamp.com/track/iloveinstallations Bandcamp] \| [https://www.youtube.com/watch?v=Buv51YyfYdo YouTube]		* "iloveinstallations" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/0vmk6yMSwTdBI53cx8XsVM Spotify] \| [https://francium223.bandcamp.com/track/iloveinstallations Bandcamp] \| [https://www.youtube.com/watch?v=Buv51YyfYdo YouTube]
	* "Gore Pile" from ''You Are A...'' (2024) – [https://open.spotify.com/track/0P0WNf7bAm0WHgDlGlGgY5 Spotify] \| [https://francium223.bandcamp.com/track/gore-pile Bandcamp] \| [https://www.youtube.com/watch?v=DLJdsP5AvdA YouTube]		* "Gore Pile" from ''You Are A...'' (2024) – [https://open.spotify.com/track/0P0WNf7bAm0WHgDlGlGgY5 Spotify] \| [https://francium223.bandcamp.com/track/gore-pile Bandcamp] \| [https://www.youtube.com/watch?v=DLJdsP5AvdA YouTube]
			* "QUACK" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/2JVr8aUTYoM4pqSDZ2v8Jc Spotify] \| [https://francium223.bandcamp.com/track/quack Bandcamp] \| [https://www.youtube.com/watch?v=jnDMYcyEFmk YouTube]