661edo - Revision history

ArrowHead294 at 13:20, 21 February 2025

2025-02-21T13:20:29Z

← Older revision		Revision as of 13:20, 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" \|[[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
	\| {{monzo\|-2095 661}}		\| {{monzo\|-2095 661}}
	\| {{mapping\|661 2095}}		\| {{mapping\|661 2095}}
	\| 0.0918		\| +0.0918
	\| 0.0918		\| 0.0918
	\| 5.06		\| 5.06

Francium: changed EDO intro to ED intro

2025-02-21T05:37:01Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:37, 21 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|661~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: +music

2024-10-02T12:05:30Z

+music

← Older revision		Revision as of 12:05, 2 October 2024
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	\| 5.06		\| 5.06
	\|}		\|}

			== Music ==
			; [[Francium]]
			* "Holler Me Up" from ''Abbreviations Gone Wrong'' (2024) – [https://open.spotify.com/track/60RGVHiTtnHHfGrQGgAxds Spotify] \| [https://francium223.bandcamp.com/track/holler-me-up Bandcamp] \| [https://www.youtube.com/watch?v=sb0Z5dzghrc YouTube]

Francium: Created page with "{{Infobox ET}} {{EDO intro|661}} == Theory == 661edo is consistent to the 7-odd-limit and the error of its harmonic 3 is very high. The first prime harmonics..."

2024-08-19T15:04:32Z

Created page with "{{Infobox ET}} {{EDO intro|661}} == Theory == 661edo is consistent to the 7-odd-limit and the error of its harmonic 3 is very high. The first prime harmonics..."

New page

{{Infobox ET}}
{{EDO intro|661}}

== Theory ==
661edo is consistent to the [[7-odd-limit]] and the error of its [[harmonic]] [[3/1|3]] is very high. The first prime harmonics have a very sharp tendency, but note the accuracy of its harmonic [[13/1|13]] with an relative error of only 0.9 percent. It can be used in the 2.9.15.21.13.19.23.29 [[subgroup]], [[temper out|tempering out]] [[4375/4374]], [[875/874]], [[1863/1862]], 1625/1624, [[3381/3380]], 102600/102557 and 401679/401408. It [[support]]s [[hitch]].

=== Odd harmonics ===
{{Harmonics in equal|661}}

=== Subsets and supersets ===
661edo is the 121st [[prime EDO]]. [[1983edo]], which triples it, gives a good correction to the harmonics 3, [[7/1|7]] and [[11/1|11]].

== 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|-2095 661}}
| {{mapping|661 2095}}
| 0.0918
| 0.0918
| 5.06
|}