Kleismic: Difference between revisions
readded some changes, added formulas, etc. Chords of 13 are some of the simplest chords of cata in terms of generator complexity. |
Relegate the rest of the DRs to the other tunings section cuz the main table was so flooded Tag: Undo |
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| 316.9925 | | 316.9925 | ||
| 1/6-kleisma | | 1/6-kleisma | ||
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| '' | | ''f''<sup>6</sup> + 2''f''<sup>5</sup> - 8 = 0 | ||
| 317.1496 | | 317.1496 | ||
| 1–3–5 equal-beating tuning, [[Delta-rational chord|DR]] 3:4:5 | | 1–3–5 equal-beating tuning, [[Delta-rational chord|DR]] 3:4:5 | ||
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| [[ | | [[15/13]] | ||
| 317.4197 | | 317.4197 | ||
| 1/3-marveltwin comma | | 1/3-marveltwin comma | ||
|- | |- | ||
| [[34edo|9\34]] | | [[34edo|9\34]] | ||
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| '' | | ''f''<sup>6</sup> - 2''f''<sup>5</sup> + 2 = 0 | ||
| 317.9593 | | 317.9593 | ||
| 1–3–5 equal-beating tuning, [[Delta-rational chord|DR]] 4:5:6, close to 2/7-kleisma | | 1–3–5 equal-beating tuning, [[Delta-rational chord|DR]] 4:5:6, close to 2/7-kleisma | ||
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=== Other tunings === | === Other tunings === | ||
* [[DKW theory|DKW]] (2.3.5): ~2 = 1\1, ~6/5 = 317.1983 | * [[DKW theory|DKW]] (2.3.5): ~2 = 1\1, ~6/5 = 317.1983 | ||
* [[Delta-rational chord|DR]] 9:13:15: ~2 = 1\1, ~6/5 = 317.0010 (real root of 3''f''<sup>3</sup> - ''f'' - 4 = 0) | |||
* [[Delta-rational chord|DR]] 13:15:18: ~2 = 1\1, ~6/5 = 317.5679 (real root of 3''f''<sup>3</sup> + 4''f'' - 10 = 0) | |||
== Scales == | == Scales == | ||