20edf: Difference between revisions
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Carlos Gamma as we know today is non-octave, even tho it was originally intended to include the octaves |
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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 31: | Line 31: | ||
|- | |- | ||
|4 | |4 | ||
| | |625/576, 867/800 | ||
|140.39 | |140.39 | ||
|- | |- | ||
|5 | |5 | ||
| | |320/289, 425/384 | ||
|175.49 | |175.49 | ||
|- | |- | ||
| Line 75: | Line 75: | ||
|- | |- | ||
|15 | |15 | ||
| | |576/425, 867/640 | ||
|526.47 | |526.47 | ||
|- | |- | ||
|16 | |16 | ||
| | |400/289, 864/625 | ||
|561.56 | |561.56 | ||
|- | |- | ||
| Line 111: | Line 111: | ||
|- | |- | ||
|24 | |24 | ||
| | |625/384 | ||
|842.35 | |842.35 | ||
|- | |- | ||
|25 | |25 | ||
| | |425/256, 480/289 | ||
|877.44 | |877.44 | ||
|- | |- | ||
| Line 155: | Line 155: | ||
|- | |- | ||
|35 | |35 | ||
| | |864/425 | ||
|1228.42 | |1228.42 | ||
|- | |- | ||
|36 | |36 | ||
| | |600/289 | ||
|1263.52 | |1263.52 | ||
|- | |- | ||