121edo: Difference between revisions
m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" |
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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 | ||
|- | |- | ||
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|- | |- | ||
| 2.3 | | 2.3 | ||
| {{ | | {{Monzo| 192 -121 }} | ||
| {{ | | {{Mapping| 121 192 }} | ||
| −0.687 | | −0.687 | ||
| 0.687 | | 0.687 | ||
| Line 36: | Line 36: | ||
| 2.3.5 | | 2.3.5 | ||
| 15625/15552, {{monzo| 31 -21 1 }} | | 15625/15552, {{monzo| 31 -21 1 }} | ||
| {{ | | {{Mapping| 121 192 281 }} | ||
| −0.524 | | −0.524 | ||
| 0.606 | | 0.606 | ||
| Line 43: | Line 43: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 4000/3969, 6144/6125, 10976/10935 | | 4000/3969, 6144/6125, 10976/10935 | ||
| {{ | | {{Mapping| 121 192 281 340 }} | ||
| −0.667 | | −0.667 | ||
| 0.580 | | 0.580 | ||
| Line 50: | Line 50: | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 540/539, 896/891, 1375/1372, 4375/4356 | | 540/539, 896/891, 1375/1372, 4375/4356 | ||
| {{ | | {{Mapping| 121 192 281 340 419 }} | ||
| −0.768 | | −0.768 | ||
| 0.556 | | 0.556 | ||
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| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 325/324, 352/351, 364/363, 540/539, 625/624 | | 325/324, 352/351, 364/363, 540/539, 625/624 | ||
| {{ | | {{Mapping| 121 192 281 340 419 448 }} | ||
| −0.750 | | −0.750 | ||
| 0.510 | | 0.510 | ||
| Line 64: | Line 64: | ||
| 2.3.5.7.11.13.17 | | 2.3.5.7.11.13.17 | ||
| 256/255, 325/324, 352/351, 364/363, 375/374, 442/441 | | 256/255, 325/324, 352/351, 364/363, 375/374, 442/441 | ||
| {{ | | {{Mapping| 121 192 281 340 419 448 495 }} | ||
| −0.787 | | −0.787 | ||
| 0.480 | | 0.480 | ||
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| 2.3.5.7.11.13.17.19 | | 2.3.5.7.11.13.17.19 | ||
| 190/189, 256/255, 325/324, 352/351, 361/360, 364/363, 375/374 | | 190/189, 256/255, 325/324, 352/351, 361/360, 364/363, 375/374 | ||
| {{ | | {{Mapping| 121 192 281 340 419 448 495 514 }} | ||
| −0.689 | | −0.689 | ||
| 0.519 | | 0.519 | ||
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|+ 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* | ||
! Temperament | ! Temperament | ||
|- | |- | ||
| Line 170: | Line 170: | ||
| 495.87 | | 495.87 | ||
| 4/3 | | 4/3 | ||
| [[ | | [[Polypyth]] | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 191: | Line 191: | ||
|- | |- | ||
| 11 | | 11 | ||
| 50\121<br | | 50\121<br>(5\121) | ||
| 495.87<br | | 495.87<br>(49.59) | ||
| 4/3<br | | 4/3<br>(36/35) | ||
| [[Hendecatonic]] | | [[Hendecatonic (temperament)|Hendecatonic]] | ||
|} | |} | ||
<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct | <nowiki/>* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct | ||
== 13-limit detempering of 121et == | == 13-limit detempering of 121et == | ||