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]], where Carlos Gamma, and similarly the [[gammic]] temperament, can be seen as 20edf with an independent dimension for 2 (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.
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 ===
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|-
|-
|5
|5
|425/384
|320/289, 425/384
|175.49
|175.49
|-
|-
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|-
|-
|15
|15
|576/425
|576/425, 867/640
|526.47
|526.47
|-
|-
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|-
|-
|25
|25
|425/256
|425/256, 480/289
|877.44
|877.44
|-
|-