186ed6: Difference between revisions

Theory: +subsets and supersets
Theory: rework to address more primes
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== Theory ==
== Theory ==
186ed6 is closely related to [[72edo]], but with the 6th harmonic rather than the [[2/1|octave]] being just, which results in the octaves being stretched by about 0.757{{c}}. Like 72edo, 186ed6 is [[consistent]] to the [[integer limit|18-integer-limit]], and significantly improves on 72edo's approximation to 13.
186ed6 is closely related to [[72edo]], but with the 6th harmonic rather than the [[2/1|octave]] being just, which results in the octaves being stretched by about 0.757{{c}}. Like 72edo, 186ed6 is [[consistent]] to the [[integer limit|18-integer-limit]]. While it tunes 2 and [[11/1|11]] sharp, the [[3/1|3]] and [[5/1|5]] remain flat as in 72edo but less so, and the [[7/1|7]] is practically pure. Moreover, the [[13/1|13]] and [[17/1|17]] are significantly improved compared to 72edo, although the [[19/1|19]] becomes worse.  


=== Harmonics ===
=== Harmonics ===