683edo - Revision history

ArrowHead294 at 17:39, 20 February 2025

2025-02-20T17:39:01Z

← Older revision		Revision as of 17:39, 20 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" \|[[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]] (%)
	\|-		\|-
	\| 2.9		\| 2.9
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	\| {{monzo\|23 3 -14}}, {{monzo\|-130 52 -15}}		\| {{monzo\|23 3 -14}}, {{monzo\|-130 52 -15}}
	\| {{mapping\|683 2165 1586}}		\| {{mapping\|683 2165 1586}}
	\| -0.0202		\| −0.0202
	\| 0.0533		\| 0.0533
	\| 3.03		\| 3.03

Francium: changed EDO intro to ED intro

2025-02-20T17:19:12Z

changed EDO intro to ED intro

← Older revision		Revision as of 17:19, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|683~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: +music

2024-11-15T13:42:55Z

+music

← Older revision		Revision as of 13:42, 15 November 2024
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	\| 3.03		\| 3.03
	\|}		\|}

			== Music ==
			; [[Francium]]
			* "They Have Been Stealing" from ''Scoop'' (2024) – [https://open.spotify.com/track/6J6sDWx1SmUknWjBsZh08F Spotify] \| [https://francium223.bandcamp.com/track/they-have-been-stealing Bandcamp] \| [https://www.youtube.com/watch?v=KRnWjhlp5yU YouTube]

Francium: Created page with "{{Infobox ET}} {{EDO intro|683}} == Theory == 683edo is consistent to the 5-odd-limit and its harmonic 3 is about halfway its steps. It can be used in the..."

2024-09-13T13:15:20Z

Created page with "{{Infobox ET}} {{EDO intro|683}} == Theory == 683edo is consistent to the 5-odd-limit and its harmonic 3 is about halfway its steps. It can be used in the..."

New page

{{Infobox ET}}
{{EDO intro|683}}

== Theory ==
683edo is [[consistent]] to the [[5-odd-limit]] and its [[harmonic]] [[3/1|3]] is about halfway its steps. It can be used in the 2.9.5.11.17.23.29.31.37 [[subgroup]], [[temper out|tempering out]] [[2025/2024]], 3520/3519, 557056/556875, 5800/5797, 1332/1331, 484704/484375, 1492992/1491325 and 14384/14375.

=== Odd harmonics ===
{{Harmonics in equal|683}}

=== Subsets and supersets ===
683edo is the 124th [[prime EDO]]. [[1366edo]], which doubles it, gives a good correction to the harmonic 3.

== 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|-2165 683}}
| {{mapping|683 2165}}
| +0.0163
| 0.0163
| 0.93
|-
| 2.9.5
| {{monzo|23 3 -14}}, {{monzo|-130 52 -15}}
| {{mapping|683 2165 1586}}
| -0.0202
| 0.0533
| 3.03
|}