691edo: Difference between revisions

m Theory: certainly not prime 7
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|691}}
{{ED intro}}


== Theory ==
== Theory ==
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== 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]] (%)
|-
|-
| 2.3
| 2.3
| {{monzo|-1095 691}}
| {{monzo|-1095 691}}
| {{mapping|691 1095}}
| {{mapping|691 1095}}
| 0.1145
| +0.1145
| 0.1146
| 0.1146
| 6.60
| 6.60
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| {{monzo|-51 19 9}}, {{monzo|-20 -24 25}}
| {{monzo|-51 19 9}}, {{monzo|-20 -24 25}}
| {{mapping|691 1095 1604}}
| {{mapping|691 1095 1604}}
| 0.1891
| +0.1891
| 0.1410
| 0.1410
| 8.12
| 8.12
|}
|}
== Music ==
; [[Francium]]
* "Caneelines and Porks" from ''Scoop'' (2024) – [https://open.spotify.com/track/2MKhJxCb5HldODGFx5IOpQ Spotify] | [https://francium223.bandcamp.com/track/caneelines-and-porks Bandcamp] | [https://www.youtube.com/watch?v=NJMCFiQmW2U YouTube]