Syntonic–kleismic equivalence continuum: Difference between revisions

This temperament, which can be described as 7c & 12c or 19 & 64, was first named by [[User:Jerdle|Jerdle]] in [[User:Jerdle/The Ocean]] page. It is generated by a [[19edo]]/[[flattone]]-like fifth, but finds 5/4 at -15 generators (a double-diminished fourth) rather than a major third. It is of very high badness, and probably not that practical, but perhaps the 19-note MOS could be used for some kind of 19edo [[well temperament]]. Only two [[patent val]]s support this temperament ([[19edo]] and [[64edo]]), but additionally, the [[dual-fifth]] systems [[83edo]] and [[102edo]] support this temperament with their second-best fifths (83b and 102b), and those are probably the best tunings. Note that octave-stretching significantly reduces the error on all harmonics.

{{Mapping|legend=1| 1 1 11 | 0 1 -15 }}

: mapping generators: ~2, ~3/2

* [[WE]]: ~2 = 1202.403{{c}}, ~3/2 = 696.043{{c}}

* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 694.548{{c}}

{{Optimal ET sequence|legend=1| 12c,19,26c,31c,45c,50cc,64,69cc,83b,88cc,102b,107bcc,121b,126bccc }}

[[Badness]] (Sintel): 18.846