157edt: Difference between revisions

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== Theory ==
== Theory ==
157edt is related to [[99edo]], but with the 3/1 rather than the [[2/1]] being just. The octave is about 0.6781 cents compressed. 157edt is [[consistent]] to the [[integer limit|12-integer-limit]]. In comparison, 99edo is only consistent up to the 10-integer-limit. 157edt is notable for its excellent 5/3, as a convergent to log<sub>3</sub>(5), and can be used effectively both with and without twos.
157edt is related to [[99edo]], but with the 3/1 rather than the [[2/1]] being just. The octave is [[stretched and compressed tuning|compressed]] by about 0.678 cents. 157edt is [[consistent]] to the [[integer limit|12-integer-limit]]. In comparison, 99edo is only consistent up to the 10-integer-limit. 157edt is notable for its excellent 5/3, as a convergent to log<sub>3</sub>(5), and can be used effectively both with and without twos.


=== Harmonics ===
=== Harmonics ===
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* [[58edf]] – relative edf
* [[58edf]] – relative edf
* [[99edo]] – relative edo
* [[99edo]] – relative edo
* [[256ed6]] – relative ed6