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. | ||
Revision as of 04:40, 5 October 2025
| Interval information |
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.