3643edo - Revision history

Francium: /* Music */ +link

2025-07-03T11:57:38Z

Music: +link

← Older revision		Revision as of 11:57, 3 July 2025
Line 68:		Line 68:
	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "Don't Make a Difference" from ''Don't'' (2025) – [https://francium223.bandcamp.com/track/dont-make-a-difference Bandcamp] \| [https://www.youtube.com/watch?v=6C515dSWG3E YouTube]		* "Don't Make a Difference" from ''Don't'' (2025) – [https://open.spotify.com/track/1sRKpCbUmknJfUsYlpqvbW Spotify] \| [https://francium223.bandcamp.com/track/dont-make-a-difference Bandcamp] \| [https://www.youtube.com/watch?v=6C515dSWG3E YouTube]

Francium: +music

2025-06-28T12:16:09Z

+music

← Older revision		Revision as of 12:16, 28 June 2025
Line 65:		Line 65:
	\| 5.98		\| 5.98
	\|}		\|}

			== Music ==
			; [[Francium]]
			* "Don't Make a Difference" from ''Don't'' (2025) – [https://francium223.bandcamp.com/track/dont-make-a-difference Bandcamp] \| [https://www.youtube.com/watch?v=6C515dSWG3E YouTube]

ArrowHead294 at 18:17, 20 February 2025

2025-02-20T18:17:19Z

← Older revision		Revision as of 18:17, 20 February 2025
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	== 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" \|[[Comma list~~\|Comma List~~]]		! rowspan="2" \| [[Subgroup]]
	! rowspan="2" \|[[Mapping]]		! rowspan="2" \| [[Comma list]]
	! rowspan="2" \|Optimal<br>8ve ~~Stretch~~ (¢)		! rowspan="2" \| [[Mapping]]
	! colspan="2" \|Tuning ~~Error~~		! rowspan="2" \| Optimal<br />8ve stretch (¢)
	\|-		! colspan="2" \| Tuning error
	![[TE error\|Absolute]] (¢)		\|-
	![[TE simple badness\|Relative]] (%)		! [[TE error\|Absolute]] (¢)
			! [[TE simple badness\|Relative]] (%)
	\|-		\|-
	\| 2.3		\| 2.3
Line 32:		Line 33:
	\| {{monzo\|22 33 -32}}, {{monzo\|199 -86 -27}}		\| {{monzo\|22 33 -32}}, {{monzo\|199 -86 -27}}
	\| {{mapping\|3643 5774 8459}}		\| {{mapping\|3643 5774 8459}}
	\| -0.0089		\| −0.0089
	\| 0.0154		\| 0.0154
	\| 4.68		\| 4.68
Line 39:		Line 40:
	\| {{monzo\|-9 5 -8 7}}, {{monzo\|3 -24 3 10}}, {{monzo\|43 -1 -13 -4}}		\| {{monzo\|-9 5 -8 7}}, {{monzo\|3 -24 3 10}}, {{monzo\|43 -1 -13 -4}}
	\| {{mapping\|3643 5774 8459 10227}}		\| {{mapping\|3643 5774 8459 10227}}
	\| -0.0010		\| −0.0010
	\| 0.0192		\| 0.0192
	\| 5.83		\| 5.83
Line 46:		Line 47:
	\| 117649/117612, 50014503/50000000, 520224768/519921875, 234365481/234256000		\| 117649/117612, 50014503/50000000, 520224768/519921875, 234365481/234256000
	\| {{mapping\|3643 5774 8459 10227 12603}}		\| {{mapping\|3643 5774 8459 10227 12603}}
	\| -0.0063		\| −0.0063
	\| 0.0202		\| 0.0202
	\| 6.13		\| 6.13
Line 53:		Line 54:
	\| 123201/123200, 6656/6655, 1016064/1015625, 655473/655360, 2250423/2249728		\| 123201/123200, 6656/6655, 1016064/1015625, 655473/655360, 2250423/2249728
	\| {{mapping\|3643 5774 8459 10227 12603 13481}}		\| {{mapping\|3643 5774 8459 10227 12603 13481}}
	\| -0.0097		\| −0.0097
	\| 0.0199		\| 0.0199
	\| 6.04		\| 6.04
Line 60:		Line 61:
	\| 12376/12375, 14400/14399, 123201/123200, 1796256/1795625, 637637/637500, 2100875/2100384		\| 12376/12375, 14400/14399, 123201/123200, 1796256/1795625, 637637/637500, 2100875/2100384
	\| {{mapping\|3643 5774 8459 10227 12603 13481 14891}}		\| {{mapping\|3643 5774 8459 10227 12603 13481 14891}}
	\| -0.0126		\| −0.0126
	\| 0.0197		\| 0.0197
	\| 5.98		\| 5.98
	\|}		\|}

Francium: changed EDO intro to ED intro

2025-02-19T18:18:44Z

changed EDO intro to ED intro

← Older revision		Revision as of 18:18, 19 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|3643~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: Created page with "{{Infobox ET}} {{EDO intro|3643}} == Theory == 3643edo is consistent to the 15-odd-limit, tempering out 123201/123200, 6656/6655, 1016064/1015625, 655473/..."

2025-01-31T09:10:35Z

Created page with "{{Infobox ET}} {{EDO intro|3643}} == Theory == 3643edo is consistent to the 15-odd-limit, tempering out 123201/123200, 6656/6655, 1016064/1015625, 655473/..."

New page

{{Infobox ET}}
{{EDO intro|3643}}

== Theory ==
3643edo is [[consistent]] to the [[15-odd-limit]], [[tempering out]] [[123201/123200]], [[6656/6655]], 1016064/1015625, 655473/655360 and 2250423/2249728 in the 13-limit. It supports [[9177/9176]] in the 2.3.7.19.23.31.37 [[subgroup]].

=== Prime harmonics ===
{{Harmonics in equal|3643}}

=== Subsets and supersets ===
3643edo is the 510th [[prime edo]].

== 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|-5774 3643}}
| {{mapping|3643 5774}}
| +0.0019
| 0.0019
| 0.58
|-
| 2.3.5
| {{monzo|22 33 -32}}, {{monzo|199 -86 -27}}
| {{mapping|3643 5774 8459}}
| -0.0089
| 0.0154
| 4.68
|-
| 2.3.5.7
| {{monzo|-9 5 -8 7}}, {{monzo|3 -24 3 10}}, {{monzo|43 -1 -13 -4}}
| {{mapping|3643 5774 8459 10227}}
| -0.0010
| 0.0192
| 5.83
|-
| 2.3.5.7.11
| 117649/117612, 50014503/50000000, 520224768/519921875, 234365481/234256000
| {{mapping|3643 5774 8459 10227 12603}}
| -0.0063
| 0.0202
| 6.13
|-
| 2.3.5.7.11.13
| 123201/123200, 6656/6655, 1016064/1015625, 655473/655360, 2250423/2249728
| {{mapping|3643 5774 8459 10227 12603 13481}}
| -0.0097
| 0.0199
| 6.04
|-
| 2.3.5.7.11.13.17
| 12376/12375, 14400/14399, 123201/123200, 1796256/1795625, 637637/637500, 2100875/2100384
| {{mapping|3643 5774 8459 10227 12603 13481 14891}}
| -0.0126
| 0.0197
| 5.98
|}