Francium: +music

2025-11-05T12:13:36Z

+music

← Older revision		Revision as of 12:13, 5 November 2025
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			== Music ==
			; [[Francium]]
			* "good news" from ''have nice day'' (2025) – [https://open.spotify.com/track/2cDecs13EzAEDw5wshhPUC Spotify] \| [https://francium223.bandcamp.com/track/good-news Bandcamp] \| [https://www.youtube.com/watch?v=YD6vFfno_7E YouTube] – in Newt, 1931edo tuning

Francium: Created page with "{{Infobox ET}} {{ED intro}} == Theory == 1931edo is consistent to the 7-limit and its harmonic 3 is about halfway its steps. As an equal temperament, it tempers out 2401/2400, 359661568/358722675 and {{monzo|-42 -26 31 4}} in the 7-limit. It is strong in the 2.9.7.11.17.23 subgroup, tempering out 5832/5831, 1896129/1895936, 43614208/43610967, 40257567/40247296, 448204933/448084224. The harmonics 7 and 23..."

2025-09-02T11:43:13Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 1931edo is consistent to the 7-limit and its harmonic 3 is about halfway its steps. As an equal temperament, it tempers out 2401/2400, 359661568/358722675 and {{monzo|-42 -26 31 4}} in the 7-limit. It is strong in the 2.9.7.11.17.23 subgroup, tempering out 5832/5831, 1896129/1895936, 43614208/43610967, 40257567/40247296, 448204933/448084224. The harmonics 7 and 23..."

New page

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

== Theory ==
1931edo is [[consistent]] to the [[7-limit]] and its [[harmonic]] [[3/1|3]] is about halfway its steps. As an equal temperament, it [[tempering out|tempers out]] [[2401/2400]], 359661568/358722675 and {{monzo|-42 -26 31 4}} in the 7-limit. It is strong in the 2.9.7.11.17.23 [[subgroup]], tempering out [[5832/5831]], 1896129/1895936, 43614208/43610967, 40257567/40247296, 448204933/448084224. The harmonics [[7/1|7]] and [[23/1|23]] have a remarkably small relative error of 0.2 percent. 1931edo [[support]]s [[newt]].

=== Odd harmonics ===
{{Harmonics in equal|1931}}

=== Subsets and supersets ===
1931edo is the 294th [[prime edo]]. [[3862edo]], which doubles it, gives a good correction to its 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|-6121 1931}}
| {{mapping|1931 6121}}
| +0.0123
| 0.0123
| 1.98
|-
| 2.9.5
| 6115295232/6103515625, {{monzo|-360 148 -47}}
| {{mapping|1931 6121 4484}}
| −0.0237
| 0.0518
| 8.34
|-
| 2.9.5.7
| 43046721/43025920, 6115295232/6103515625, {{monzo|-33 9 -15 14}}
| {{mapping|1931 6121 4484 5421}}
| −0.0176
| 0.0461
| 7.42
|-
| 2.9.5.7.11
| 2359296/2358125, 9779616/9765625, 43046721/43025920, 3294225/3294172
| {{mapping|1931 6121 4484 5421 6680}}
| −0.0083
| 0.0452
| 7.27
|}

User:Francium/1931edo - Revision history

Francium: +music