270edo: Difference between revisions
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In the [[7-limit]] it tempers out the [[breedsma]] (2401/2400), the [[ragisma]] (4375/4374), and by extension the [[wizma]] (420175/419904), and the [[landscape comma]] (250047/250000) so that it [[support]]s [[ennealimmal]] temperament. It also tempers out the [[quasiorwellisma]] (29360128/29296875) and the [[septischisma]] (33554432/33480783). | In the [[7-limit]] it tempers out the [[breedsma]] (2401/2400), the [[ragisma]] (4375/4374), and by extension the [[wizma]] (420175/419904), and the [[landscape comma]] (250047/250000) so that it [[support]]s [[ennealimmal]] temperament. It also tempers out the [[quasiorwellisma]] (29360128/29296875) and the [[septischisma]] (33554432/33480783). | ||
In the [[11-limit]], it tempers out the [[lehmerisma]] (3025/3024), the [[ | In the [[11-limit]], it tempers out the [[lehmerisma]] (3025/3024), the [[vishdelisma]] (5632/5625), the [[kalisma]] (9801/9800), the [[symbiotic comma]] (19712/19683), the [[nexus comma]] (1771561/1769472), and the [[quartisma]] (117440512/117406179). It is almost consistent to distance 3 in the [[11-odd-limit]], only barely missing [[11/9]] (off by 16.68%). | ||
Finally, in the [[13-limit]] it is slightly worse but still excellent. It tempers out [[676/675]], [[1001/1000]], [[1716/1715]], and [[2080/2079]], making it an [[The Archipelago|archipelago]] tuning, and the [[optimal patent val]] for some of the archipelago temperaments such as [[hemiennealimmal]], [[vulture]], [[eagle]], and [[avicenna (temperament)|avicenna]]. | Finally, in the [[13-limit]] it is slightly worse but still excellent. It tempers out [[676/675]], [[1001/1000]], [[1716/1715]], and [[2080/2079]], making it an [[The Archipelago|archipelago]] tuning, and the [[optimal patent val]] for some of the archipelago temperaments such as [[hemiennealimmal]], [[vulture]], [[eagle]], and [[avicenna (temperament)|avicenna]]. | ||
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|- | |- | ||
| 5 | | 5 | ||
| [[ | | [[Vishnu comma|(20 digits)]] | ||
| 3.34 | | 3.34 | ||
| {{Monzo| 23 6 -14 }} | | {{Monzo| 23 6 -14 }} | ||
| Sasepbigu | | Sasepbigu | ||
| sg<sup>14</sup> | | sg<sup>14</sup> | ||
| | | Vishnu comma | ||
|- | |- | ||
| 7 | | 7 | ||
| Line 247: | Line 247: | ||
| Sasaru | | Sasaru | ||
| ssr | | ssr | ||
| | | Septischisma | ||
|- | |||
| 7 | |||
| [[Quasiorwellisma|(16 digits)]] | |||
| 3.73 | |||
| {{Monzo| 22 -1 -10 1 }} | |||
| Sazoquinbigu | |||
| szg<sup>10</sup> | |||
| Quasiorwellisma | |||
|- | |- | ||
| 7 | | 7 | ||
| Line 264: | Line 272: | ||
| zy<sup>4</sup> | | zy<sup>4</sup> | ||
| Ragisma | | Ragisma | ||
|- | |- | ||
| 11 | | 11 | ||
| Line 287: | Line 287: | ||
| Saloquagu | | Saloquagu | ||
| s1og<sup>4</sup> | | s1og<sup>4</sup> | ||
| | | Vishdelisma | ||
|- | |- | ||
| 11 | | 11 | ||
| Line 345: | Line 345: | ||
| Minisma | | Minisma | ||
|- | |- | ||
|17 | | 17 | ||
| [[12376/12375]] | | [[12376/12375]] | ||
| 0.14 | | 0.14 | ||
| Line 361: | Line 361: | ||
| Password, Eratosthenes' comma | | Password, Eratosthenes' comma | ||
|- | |- | ||
|19 | | 19 | ||
|[[11859211/11859210|(16 digits)]] | | [[11859211/11859210|(16 digits)]] | ||
|0.00 | | 0.00 | ||
|{{Monzo|-1 -4 -1 1 -4 1 0 4}} | | {{Monzo| -1 -4 -1 1 -4 1 0 4 }} | ||
|<small>Quadno-athoquadlu-azogu</small> | | <small>Quadno-athoquadlu-azogu</small> | ||
|<small>9o<sup>4</sup>3o1u<sup>4</sup>zg</small> | | <small>9o<sup>4</sup>3o1u<sup>4</sup>zg</small> | ||
|Tredekisma | | Tredekisma | ||
|- | |- | ||
| 23 | | 23 | ||