179edo: Difference between revisions
m cohemimabila |
→Regular temperament properties: + subfourth |
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| Line 19: | Line 19: | ||
! 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 26: | Line 26: | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
| {{ | | {{Monzo| 284 -179 }} | ||
| {{ | | {{Mapping| 179 284 }} | ||
| −0.6169 | | −0.6169 | ||
| 0.6166 | | 0.6166 | ||
| Line 33: | Line 33: | ||
|- | |- | ||
| 2.3.5 | | 2.3.5 | ||
| {{ | | {{Monzo| 20 -17 3 }}, {{monzo| 28 -3 -10 }} | ||
| {{ | | {{Mapping| 179 284 416 }} | ||
| −0.7718 | | −0.7718 | ||
| 0.5490 | | 0.5490 | ||
| Line 41: | Line 41: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 3136/3125, 4375/4374, 65536/64827 | | 3136/3125, 4375/4374, 65536/64827 | ||
| {{ | | {{Mapping| 179 284 416 503 }} | ||
| −0.8673 | | −0.8673 | ||
| 0.5034 | | 0.5034 | ||
| Line 51: | Line 51: | ||
|+ 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 68: | Line 68: | ||
| 6/5 | | 6/5 | ||
| [[Parakleismic]] | | [[Parakleismic]] | ||
|- | |||
| 1 | |||
| 71\179 | |||
| 475.98 | |||
| 21/16 | |||
| [[Subfourth]] (179ef) | |||
|- | |- | ||
| 1 | | 1 | ||
| Line 75: | Line 81: | ||
| [[Mabila]] (5-limit) | | [[Mabila]] (5-limit) | ||
|} | |} | ||
<nowiki />* [[Normal | <nowiki/>* [[Normal forms|Octave-reduced form]], reduced to the first half-octave, and [[normal forms|minimal form]] in parentheses if distinct | ||
== Music == | == Music == | ||