91edo: Difference between revisions
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== Regular temperament properties == | == Regular temperament properties == | ||
{ | {| class="wikitable center-4 center-5 center-6" | ||
|- | |||
! rowspan="2" | [[Subgroup]] | |||
! rowspan="2" | [[Comma list]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal<br />8ve stretch (¢) | |||
! colspan="2" | Tuning error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |- | ||
| 2.3 | | 2.3 | ||
| Line 41: | Line 50: | ||
| 0.860 | | 0.860 | ||
| 6.51 | | 6.51 | ||
|} | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {| class="wikitable center-all left-5" | ||
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | |||
|- | |||
! Periods<br />per 8ve | |||
! Generator* | |||
! Cents* | |||
! Associated<br />ratio* | |||
! Temperament | |||
|- | |- | ||
| 1 | | 1 | ||
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|- | |- | ||
| 7 | | 7 | ||
| 38\91<br>(1\91) | | 38\91<br />(1\91) | ||
| 501.10<br>(13.19) | | 501.10<br />(13.19) | ||
| 4/3<br>(81/80) | | 4/3<br />(81/80) | ||
| [[Absurdity]] | | [[Absurdity]] | ||
|- | |- | ||
| 13 | | 13 | ||
| 38\91<br>(1\91) | | 38\91<br />(1\91) | ||
| 501.10<br>(13.19) | | 501.10<br />(13.19) | ||
| 4/3<br>(265/252) | | 4/3<br />(265/252) | ||
| [[Trideci]] (91)<br>[[Aluminium]] (91c) | | [[Trideci]] (91)<br />[[Aluminium]] (91c) | ||
|} | |||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct | |||
<sup>†</sup> derived from scales in the Scales section, official name not decided upon yet. | <sup>†</sup> derived from scales in the Scales section, official name not decided upon yet. | ||
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|- | |- | ||
| 0 | | 0 | ||
| unison<br>perfect prime <br>perfect prota | | unison<br />perfect prime <br />perfect prota | ||
| A <br>Az (А) | | A <br />Az (А) | ||
| [[1/1]] | | [[1/1]] | ||
|- | |- | ||
| 1 | | 1 | ||
| major prime <br>major prota | | major prime <br />major prota | ||
| A# <br>Az# | | A# <br />Az# | ||
| [[1728/1715]] | | [[1728/1715]] | ||
|- | |- | ||
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|- | |- | ||
| 13 | | 13 | ||
| neutral secunde <br>minor tritia | | neutral secunde <br />minor tritia | ||
| B<br>Vedi♭ | | B<br />Vedi♭ | ||
| [[11/10]] | | [[11/10]] | ||
|- | |- | ||
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|- | |- | ||
| 26 | | 26 | ||
| neutral tertie <br>diminished pemptia | | neutral tertie <br />diminished pemptia | ||
| C <br>Dobro♭♭ | | C <br />Dobro♭♭ | ||
| [[11/9]] | | [[11/9]] | ||
|- | |- | ||
| 27 | | 27 | ||
| major tertie <br>minor pemptia | | major tertie <br />minor pemptia | ||
| C# <br>Dobro♭ | | C# <br />Dobro♭ | ||
| [[16/13]], 27/22 | | [[16/13]], 27/22 | ||
|- | |- | ||
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|- | |- | ||
| 39 | | 39 | ||
| neutral quarte <br>bidiminished hebdomia | | neutral quarte <br />bidiminished hebdomia | ||
| D<br>Zhivete♭♭♭ | | D<br />Zhivete♭♭♭ | ||
| | | | ||
|- | |- | ||
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|- | |- | ||
| 54 | | 54 | ||
| augmented quinte <br>diminished ennatia | | augmented quinte <br />diminished ennatia | ||
| E## <br>Zemle♭♭ | | E## <br />Zemle♭♭ | ||
| [[256/169]] | | [[256/169]] | ||
|- | |- | ||
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|- | |- | ||
| 64 | | 64 | ||
| major decatia <br>minor sexte | | major decatia <br />minor sexte | ||
| Izhe# <br>F♭ | | Izhe# <br />F♭ | ||
| | | | ||
|- | |- | ||
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|- | |- | ||
| 91 | | 91 | ||
| perfect octave <br>perfect decatotetartia | | perfect octave <br />perfect decatotetartia | ||
| A<br>Az (А) | | A<br />Az (А) | ||
| [[2/1]] exact | | [[2/1]] exact | ||
|} | |} | ||