743edo: Difference between revisions
Created page with "{{Infobox ET}} {{EDO intro|743}} == Theory == 743et is only consistent to the 3-odd-limit and its harmonic 3 is about halfway its steps. It can be used in the..." |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
| 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 | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" |[[Mapping]] | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" |Optimal<br>8ve | ! rowspan="2" | [[Mapping]] | ||
! colspan="2" |Tuning | ! 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|-2355 743}} | | {{monzo|-2355 743}} | ||
| {{mapping|743 2355}} | | {{mapping|743 2355}} | ||
| 0.0648 | | +0.0648 | ||
| 0.0648 | | 0.0648 | ||
| 4.01 | | 4.01 | ||
| Line 32: | Line 33: | ||
| 32805/32768, {{monzo|-120 -83 165}} | | 32805/32768, {{monzo|-120 -83 165}} | ||
| {{mapping|743 2355 1725}} | | {{mapping|743 2355 1725}} | ||
| 0.0878 | | +0.0878 | ||
| 0.0621 | | 0.0621 | ||
| 3.85 | | 3.85 | ||
| Line 39: | Line 40: | ||
| 32805/32768, 30517578125/30474952704, 247669456896/247165842875 | | 32805/32768, 30517578125/30474952704, 247669456896/247165842875 | ||
| {{mapping|743 2355 1725 2086}} | | {{mapping|743 2355 1725 2086}} | ||
| 0.0464 | | +0.0464 | ||
| 0.0897 | | 0.0897 | ||
| 5.55 | | 5.55 | ||
| Line 46: | Line 47: | ||
| 32805/32768, 1890625/1889568, 539055/537824, 102487/102400 | | 32805/32768, 1890625/1889568, 539055/537824, 102487/102400 | ||
| {{mapping|743 2355 1725 2086 2570}} | | {{mapping|743 2355 1725 2086 2570}} | ||
| 0.0705 | | +0.0705 | ||
| 0.0936 | | 0.0936 | ||
| 5.80 | | 5.80 | ||
| Line 53: | Line 54: | ||
| 67392/67375, 35750/35721, 32805/32768, 91125/91091, 557568/557375 | | 67392/67375, 35750/35721, 32805/32768, 91125/91091, 557568/557375 | ||
| {{mapping|743 2355 1725 2086 2570 2749}} | | {{mapping|743 2355 1725 2086 2570 2749}} | ||
| 0.0898 | | +0.0898 | ||
| 0.0957 | | 0.0957 | ||
| 5.93 | | 5.93 | ||
| Line 60: | Line 61: | ||
| 1089/1088, 67392/67375, 35750/35721, 14400/14399, 61965/61952, 75735/75712 | | 1089/1088, 67392/67375, 35750/35721, 14400/14399, 61965/61952, 75735/75712 | ||
| {{mapping|743 2355 1725 2086 2570 2749 3037}} | | {{mapping|743 2355 1725 2086 2570 2749 3037}} | ||
| 0.0761 | | +0.0761 | ||
| 0.0947 | | 0.0947 | ||
| 5.86 | | 5.86 | ||
|} | |} | ||
== Music == | |||
; [[Francium]] | |||
* "focus" from ''wiloliquy'' (2025) – [https://open.spotify.com/track/4dAsGgZMItvNjGeDBGFicY Spotify] | [https://francium223.bandcamp.com/track/focus Bandcamp] | [https://www.youtube.com/watch?v=qN2UjaCQZno YouTube] | |||