Francium: +music

2026-02-28T13:25:50Z

+music

← Older revision		Revision as of 13:25, 28 February 2026
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			== Music ==
			; [[Francium]]
			* "Wings and Toasties" from ''Unsuspecting Tyrant Double-Decker Beef Fort'' (2026) – [https://open.spotify.com/track/1LG6kfSeEYy9yuA7VwoPOi Spotify] \| [https://francium223.bandcamp.com/track/wings-and-toasties Bandcamp] \| [https://www.youtube.com/watch?v=ADxSQ9kNMPM YouTube] – in Quectismic, 3631edo tuning

Francium: Created page with "{{Infobox ET}} {{ED intro}} == Theory == 3631edo is consistent to the 9-odd-limit, tempering out 43046721/43025920, 78125000/78121827 and {{monzo|79 -6 -13 -14}} in the 7-limit. Its harmonic 3 has an extremely low error of 0.1 percent. It is strong in the 2.3.5.11.23 subgroup, tempering out 64009/64000, 19133125/19131876, 184549376/184528125, 510526328421483/510320967680000. As an equal temperament, 3631edo supports quectism..."

2026-01-17T07:16:32Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 3631edo is consistent to the 9-odd-limit, tempering out 43046721/43025920, 78125000/78121827 and {{monzo|79 -6 -13 -14}} in the 7-limit. Its harmonic 3 has an extremely low error of 0.1 percent. It is strong in the 2.3.5.11.23 subgroup, tempering out 64009/64000, 19133125/19131876, 184549376/184528125, 510526328421483/510320967680000. As an equal temperament, 3631edo supports quectism..."

New page

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

== Theory ==
3631edo is [[consistent]] to the [[9-odd-limit]], [[tempering out]] [[43046721/43025920]], [[78125000/78121827]] and {{monzo|79 -6 -13 -14}} in the [[7-limit]]. Its [[harmonic]] [[3/1|3]] has an extremely low error of 0.1 percent. It is strong in the 2.3.5.11.23 [[subgroup]], tempering out 64009/64000, 19133125/19131876, 184549376/184528125, 510526328421483/510320967680000. As an equal temperament, 3631edo [[support]]s [[quectismic]] in the [[5-limit]].

=== Prime harmonics ===
{{Harmonics in equal|3631}}

=== Subsets and supersets ===
3631edo is the 508th [[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|5755 -3631}}
| {{mapping|3631 5755}}
| −0.0001
| 0.0001
| 0.03
|-
| 2.3.5
| {{monzo|91 -12- 31}}, {{monzo|-33 97 -52}}
| {{mapping|3631 5755 8431}}
| −0.0038
| 0.0053
| 1.60
|}

User:Francium/3631edo - Revision history

Francium: +music