44/35: Difference between revisions
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{{Infobox Interval| Name = valinorsmic major third}} | {{Infobox Interval| Name = valinorsmic major third}} | ||
44/35, the '''valinorsmic major third''', is an [[11-limit]] interval that is close to a [[12edo]] major third, and which differs from [[5/4]] by [[176/175]], the valinorsma. It is the product of [[11/10]] and [[8/7]], intervals that are commonly used as stand-ins for the cube roots of [[4/3]] and [[3/2]] respectively, so appears as 1/3 of an octave in systems that carve both 4/3 and 3/2 in thirds. | 44/35, the '''valinorsmic major third''', is an [[11-limit]] interval that is close to a [[12edo]] major third, and which differs from [[5/4]] by [[176/175]], the valinorsma. It is the product of [[11/10]] and [[8/7]], intervals that are commonly used as stand-ins for the cube roots of [[4/3]] and [[3/2]] respectively, so appears as 1/3 of an octave in systems that carve both 4/3 and 3/2 in thirds, such as [[15edo]], [[72edo]], [[87edo]], and [[159edo]]. It is [[441/440]] flat of [[63/50]], a [[7-limit]] interval often representing 1/3 of an octave, in fact much more accurately than 44/35. | ||