328edo: Difference between revisions
→Theory: important fact |
m →Regular temperament properties: cleanup |
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! rowspan="2" | [[Comma list]] | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br | ! rowspan="2" | Optimal<br>8ve stretch (¢) | ||
! colspan="2" | Tuning error | ! colspan="2" | Tuning error | ||
|- | |- | ||
| Line 25: | Line 25: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 2401/2400, 3136/3125, 589824/588245 | | 2401/2400, 3136/3125, 589824/588245 | ||
| {{ | | {{Mapping| 328 520 762 921 }} | ||
| −0.298 | | −0.298 | ||
| 0.229 | | 0.229 | ||
| Line 32: | Line 32: | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 2401/2400, 3136/3125, 9801/9800, 19712/19683 | | 2401/2400, 3136/3125, 9801/9800, 19712/19683 | ||
| {{ | | {{Mapping| 328 520 762 921 1135 }} | ||
| −0.303 | | −0.303 | ||
| 0.205 | | 0.205 | ||
| Line 39: | Line 39: | ||
| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 676/675, 1001/1000, 1716/1715, 3136/3125, 10648/10647 | | 676/675, 1001/1000, 1716/1715, 3136/3125, 10648/10647 | ||
| {{ | | {{Mapping| 328 520 762 921 1135 1214 }} | ||
| −0.295 | | −0.295 | ||
| 0.188 | | 0.188 | ||
| Line 46: | Line 46: | ||
| 2.3.5.7.11.13.17 | | 2.3.5.7.11.13.17 | ||
| 676/675, 936/935, 1001/1000, 1156/1155, 1716/1715, 3136/3125 | | 676/675, 936/935, 1001/1000, 1156/1155, 1716/1715, 3136/3125 | ||
| {{ | | {{Mapping| 328 520 762 921 1135 1214 1341 }} | ||
| −0.293 | | −0.293 | ||
| 0.174 | | 0.174 | ||
| Line 58: | Line 58: | ||
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
|- | |- | ||
! Periods<br | ! Periods<br>per 8ve | ||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br | ! Associated<br>ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| Line 83: | Line 83: | ||
|- | |- | ||
| 2 | | 2 | ||
| | | 53\328 | ||
| | | 193.90 | ||
| | | 28/25 | ||
| [[Semihemiwürschmidt]] | | [[Semihemiwürschmidt]] | ||
|- | |- | ||
| 8 | | 8 | ||
| | | 13\328 | ||
| | | 47.56 | ||
| | | 36/35 | ||
| [[Twilight]] | | [[Twilight]] | ||
|- | |- | ||
| 41 | | 41 | ||
| | | 1\328 | ||
| | | 3.66 | ||
| | | 352/351 | ||
| [[Hemicountercomp]] | | [[Hemicountercomp]] | ||
|} | |} | ||
<nowiki />* | <nowiki/>* In [[normal forms #Minimal-generator form|minimal-generator form]] | ||
[[Category:Hemiwürschmidt]] | [[Category:Hemiwürschmidt]] | ||
[[Category:Semiporwell]] | [[Category:Semiporwell]] | ||