20edf: Difference between revisions
m filled in some more complex intervals |
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== Theory == | == Theory == | ||
20edf corresponds to 34.1902edo. It is closely related to [[Carlos Gamma]] | 20edf corresponds to 34.1902edo. It is closely related to [[Carlos Gamma]] and the [[gammic]] temperament, which adds an independent dimension for the [[2/1|octave]] (although strictly speaking, the "canonical" optimized Carlos Gamma tuning is not exactly 20edf, with its fifth stretched by the microscopic amount of 0.016{{c}}). It very accurately represents the intervals [[5/4]], with 11 steps, and [[17/16]], with 3 steps. | ||
=== Harmonics === | === Harmonics === | ||
| Line 35: | Line 35: | ||
|- | |- | ||
|5 | |5 | ||
|425/384 | |320/289, 425/384 | ||
|175.49 | |175.49 | ||
|- | |- | ||
| Line 75: | Line 75: | ||
|- | |- | ||
|15 | |15 | ||
|576/425 | |576/425, 867/640 | ||
|526.47 | |526.47 | ||
|- | |- | ||
|16 | |16 | ||
|864/625 | |400/289, 864/625 | ||
|561.56 | |561.56 | ||
|- | |- | ||
| Line 115: | Line 115: | ||
|- | |- | ||
|25 | |25 | ||
|425/256 | |425/256, 480/289 | ||
|877.44 | |877.44 | ||
|- | |- | ||
| Line 178: | Line 178: | ||
|'''1403.91''' | |'''1403.91''' | ||
|} | |} | ||
== See also == | |||
* [[Alpha, beta, and gamma family of equal divisions]] | |||
{{stub}} | {{stub}} | ||