69edo: Difference between revisions
m →Music: formatting; +year |
→Regular temperament properties: cleanup and review |
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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" | [[Subgroup]] | ||
! rowspan="2" | [[Comma list]] | ! rowspan="2" | [[Comma list|Comma List]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br>8ve | ! rowspan="2" | Optimal<br>8ve Stretch (¢) | ||
! colspan="2" | Tuning | ! colspan="2" | Tuning Error | ||
|- | |- | ||
! [[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
| Line 458: | Line 458: | ||
| 2.3 | | 2.3 | ||
| {{monzo| -109 69 }} | | {{monzo| -109 69 }} | ||
| | | {{mapping| 69 109 }} | ||
| +1.99 | | +1.99 | ||
| 1.99 | | 1.99 | ||
| Line 465: | Line 465: | ||
| 2.3.5 | | 2.3.5 | ||
| 81/80, {{monzo| -41 1 17 }} | | 81/80, {{monzo| -41 1 17 }} | ||
| | | {{mapping| 69 109 160 }} | ||
| +1.86 | | +1.86 | ||
| 1.64 | | 1.64 | ||
| Line 472: | Line 472: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 81/80, 126/125, 4117715/3981312 | | 81/80, 126/125, 4117715/3981312 | ||
| | | {{mapping| 69 109 160 193 }} (69d) | ||
| +2.49 | | +2.49 | ||
| 1.79 | | 1.79 | ||
| Line 479: | Line 479: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 81/80, 3125/3087, 6144/6125 | | 81/80, 3125/3087, 6144/6125 | ||
| | | {{mapping| 69 109 160 194 }} (69) | ||
| +0.94 | | +0.94 | ||
| 2.13 | | 2.13 | ||
| Line 485: | Line 485: | ||
|} | |} | ||
=== Rank 2 temperaments === | |||
{| class="wikitable center-1 center-2" | {| class="wikitable center-1 center-2" | ||
|- | |- | ||
!Periods | ! Periods<br>per 8ve | ||
per 8ve | ! Generator | ||
!Generator | ! Temperaments | ||
! | |||
|- | |- | ||
|1 | | 1 | ||
|2\69 | | 2\69 | ||
|[[Gammy]] | | [[Gammy]] (69de) | ||
|- | |- | ||
|1 | | 1 | ||
|19\69 | | 19\69 | ||
|[[Rarity]] | | [[Rarity]] | ||
|- | |- | ||
|1 | | 1 | ||
|20\69 | | 20\69 | ||
|[[Mohaha]] | | [[Mohaha]] (69e) | ||
|- | |- | ||
|1 | | 1 | ||
|22\69 | | 22\69 | ||
|[[Caleb]] | | [[Caleb]] (69)<br>[[marveltri]] (69) | ||
|- | |- | ||
|1 | | 1 | ||
|29\69 | | 29\69 | ||
|[[Meantone]] | | [[Meantone]] (69d) | ||
|- | |- | ||
|3 | | 3 | ||
|5\69 | | 5\69 | ||
|[[Augmented family#Ogene|Ogene]] | | [[Augmented family #Ogene|Ogene]] (69bceef) | ||
|- | |- | ||
| 3 | | 3 | ||
|6\69 | | 6\69 | ||
|[[August]], [[Lithium]] | | [[August]] (7-limit, 69cdd)<br>[[Lithium]] (69) | ||
|- | |- | ||
|3 | | 3 | ||
| 9\69 | | 9\69 | ||
|[[Nessafof]] | | [[Nessafof]] (69e) | ||
|} | |} | ||