80edo: Difference between revisions
m →Regular temperament properties: correction (80edo does not support octoid by patent val, but it does support 19-limit octopus, and is an interesting and notable tuning for it) |
→Regular temperament properties: cleanup |
||
| Line 197: | Line 197: | ||
== 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 208: | Line 208: | ||
| 2.3 | | 2.3 | ||
| {{monzo| 127 -80 }} | | {{monzo| 127 -80 }} | ||
| | | {{mapping| 80 127 }} | ||
| −0.961 | | −0.961 | ||
| 0.960 | | 0.960 | ||
| Line 215: | Line 215: | ||
| 2.3.5 | | 2.3.5 | ||
| 2048/2025, 390625000/387420489 | | 2048/2025, 390625000/387420489 | ||
| | | {{mapping| 80 127 186}} | ||
| −1.169 | | −1.169 | ||
| 0.837 | | 0.837 | ||
| Line 222: | Line 222: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 1728/1715, 2048/2025, 3136/3125 | | 1728/1715, 2048/2025, 3136/3125 | ||
| | | {{mapping| 80 127 186 225 }} | ||
| −1.426 | | −1.426 | ||
| 0.851 | | 0.851 | ||
| Line 229: | Line 229: | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 176/175, 540/539, 896/891, 1331/1323 | | 176/175, 540/539, 896/891, 1331/1323 | ||
| | | {{mapping| 80 127 186 225 277 }} | ||
| −1.353 | | −1.353 | ||
| 0.775 | | 0.775 | ||
| Line 236: | Line 236: | ||
| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 169/168, 176/175, 325/324, 364/363, 540/539 | | 169/168, 176/175, 325/324, 364/363, 540/539 | ||
| | | {{mapping| 80 127 186 225 277 296 }} | ||
| −1.105 | | −1.105 | ||
| 0.901 | | 0.901 | ||
| Line 243: | Line 243: | ||
| 2.3.5.7.11.13.17 | | 2.3.5.7.11.13.17 | ||
| 136/135, 169/168, 176/175, 221/220, 364/363, 540/539 | | 136/135, 169/168, 176/175, 221/220, 364/363, 540/539 | ||
| | | {{mapping| 80 127 186 225 277 296 327 }} | ||
| −0.949 | | −0.949 | ||
| 0.917 | | 0.917 | ||
| Line 250: | Line 250: | ||
| 2.3.5.7.11.13.17.19 | | 2.3.5.7.11.13.17.19 | ||
| 136/135, 169/168, 176/175, 190/189, 221/220, 364/363, 400/399 | | 136/135, 169/168, 176/175, 190/189, 221/220, 364/363, 400/399 | ||
| | | {{mapping| 80 127 186 225 277 296 327 340 }} | ||
| −0.903 | | −0.903 | ||
| 0.867 | | 0.867 | ||
| Line 274: | Line 274: | ||
|+Rank-2 temperaments by generator | |+Rank-2 temperaments by generator | ||
! Periods<br>per 8ve | ! Periods<br>per 8ve | ||
! Generator | ! Generator* | ||
! Cents | ! Cents* | ||
! Associated | ! Associated<br>Ratio* | ||
! Temperament | ! Temperament | ||
|- | |- | ||
| Line 375: | Line 375: | ||
| [[Degrees]] | | [[Degrees]] | ||
|} | |} | ||
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct | |||
== Detemperaments == | == Detemperaments == | ||