Kleismic: Difference between revisions

Lériendil (talk | contribs)
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
|-
|
| 3''g''<sup>3</sup> + 4''g'' - 10 = 0
| 317.0010
| [[Delta-rational chord|DR]] 13:15:18
|-
|-
|  
|  
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|-
|-
|  
|  
| ''g''<sup>6</sup> + 2''g''<sup>5</sup> - 8 = 0
| ''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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|-
|-
|  
|  
| [[26/15]]
| [[15/13]]
| 317.4197
| 317.4197
| 1/3-marveltwin comma
| 1/3-marveltwin comma
|-
|
| 3''g''<sup>3</sup> - ''g'' - 4 = 0
| 317.5679
| [[Delta-rational chord|DR]] 9:13:15
|-
|-
| [[34edo|9\34]]
| [[34edo|9\34]]
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|-
|-
|  
|  
| ''g''<sup>6</sup> - 2''g''<sup>5</sup> + 2 = 0
| ''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 ==