Diaschismic family: Difference between revisions
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=== Srutal archagall (2.3.5.17) === | === Srutal archagall (2.3.5.17) === | ||
{{See also | Fiventeen }} | {{See also | Fiventeen }} | ||
This extension of 5-limit diaschismic adds prime 17 and which with respect to [[MVP archagall]] is able to express the harmonics [[75/1|75]] and [[85/1|85]] in their appropriate prime subgroup. It achieves this by equating [[85/64]] with [[4/3]] by tempering out their difference of [[256/255]] (S16). Therefore it also tempers out [[289/288]] (S17) and thus equates [[17/15]] with [[9/8]] due to tempering out [[136/135]] (S16⋅S17). It could be described as the 10 & 12 temperament with strong emphasis on 12edo being the better tuning on the 2.3.5.17 subgroup, implying ideal tunings of 34edo, 46edo or 80edo. | |||
Subgroup: 2.3.5.17 | Subgroup: 2.3.5.17 | ||