User:Francium/6689edo - Revision history

Hotcrystal0 at 15:22, 25 April 2026

2026-04-25T15:22:40Z

← Older revision		Revision as of 15:22, 25 April 2026
Line 3:		Line 3:

	== Theory ==		== Theory ==
	6689edo is in[[consistent]] to the [[5-limit]]. It is strong in the 2.3.11.17.23.29 [[subgroup]], [[tempering out]] 387571712/387420489, 33554432/33550767, 39137536/39135393, 15555136/15554187 and 3382124478464/3381592485051. As an equal temperament, it [[support]]s [[hectosaros leap week]].		6689edo is [[consistent\|inconsistent]] to the [[5-limit]]. It is strong in the 2.3.11.17.23.29 [[subgroup]], [[tempering out]] 387571712/387420489, 33554432/33550767, 39137536/39135393, 15555136/15554187 and 3382124478464/3381592485051. As an equal temperament, it [[support]]s [[hectosaros leap week]].

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

Hotcrystal0: incosistent

2026-04-25T15:22:21Z

incosistent

← Older revision		Revision as of 15:22, 25 April 2026
Line 3:		Line 3:

	== Theory ==		== Theory ==
	6689edo is un[[consistent]] to the [[5-limit]]. It is strong in the 2.3.11.17.23.29 [[subgroup]], [[tempering out]] 387571712/387420489, 33554432/33550767, 39137536/39135393, 15555136/15554187 and 3382124478464/3381592485051. As an equal temperament, it [[support]]s [[hectosaros leap week]].		6689edo is in[[consistent]] to the [[5-limit]]. It is strong in the 2.3.11.17.23.29 [[subgroup]], [[tempering out]] 387571712/387420489, 33554432/33550767, 39137536/39135393, 15555136/15554187 and 3382124478464/3381592485051. As an equal temperament, it [[support]]s [[hectosaros leap week]].

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

Francium: +music

2026-04-25T11:20:49Z

+music

← Older revision		Revision as of 11:20, 25 April 2026
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	\| 5.85		\| 5.85
	\|}		\|}

			== Music ==
			; [[Francium]]
			* "Check Us Out" from ''Check Us Out'' (2026) – [https://open.spotify.com/track/5rzuYAqewpgGPPgxbXgzxn Spotify] \| [https://francium223.bandcamp.com/track/check-us-out Bandcamp] \| [https://www.youtube.com/watch?v=C45BXnTQyT4 YouTube] – in Hectosaros leap week, 6689edo tuning

Francium: Created page with "{{Infobox ET}} {{ED intro}} == Theory == 6689edo is unconsistent to the 5-limit. It is strong in the 2.3.11.17.23.29 subgroup, tempering out 387571712/387420489, 33554432/33550767, 39137536/39135393, 15555136/15554187 and 3382124478464/3381592485051. As an equal temperament, it supports hectosaros leap week. === Prime harmonics === {{Harmonics in equal|6689}} === Subsets and supersets === 6689edo is the 862nd prime edo. 13378edo, which..."

2026-01-29T04:41:17Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 6689edo is unconsistent to the 5-limit. It is strong in the 2.3.11.17.23.29 subgroup, tempering out 387571712/387420489, 33554432/33550767, 39137536/39135393, 15555136/15554187 and 3382124478464/3381592485051. As an equal temperament, it supports hectosaros leap week. === Prime harmonics === {{Harmonics in equal|6689}} === Subsets and supersets === 6689edo is the 862nd prime edo. 13378edo, which..."

New page

{{Infobox ET}}
{{ED intro}}

== Theory ==
6689edo is un[[consistent]] to the [[5-limit]]. It is strong in the 2.3.11.17.23.29 [[subgroup]], [[tempering out]] 387571712/387420489, 33554432/33550767, 39137536/39135393, 15555136/15554187 and 3382124478464/3381592485051. As an equal temperament, it [[support]]s [[hectosaros leap week]].

=== Prime harmonics ===
{{Harmonics in equal|6689}}

=== Subsets and supersets ===
6689edo is the 862nd [[prime edo]]. [[13378edo]], which doubles it, gives a good correction to its [[harmonic]]s [[5/1|5]] and [[7/1|7]].

== 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|10602 -6689}}
| {{mapping|6689 10602}}
| −0.0105
| 0.0105
| 5.85
|}