49/48: Difference between revisions
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The large septimal or slendro diesis, 49/48 (35.6968 [[cent|cents]]), is a [[superparticular|superparticular]] ratio spanning the small distance between a subminor third of [[7/6|7/6]] and a supermajor second of [[8/7]]. It is tempered out in [[15edo]] and [[19edo]], where the two intervals are equated, and the fourth is split in a perfect half. It cannot be tempered out if all of the consonances of the 7-limit are distinct, but it can be equated with other commas; for example (49/48)/(81/80) = 245/243, (49/48)/([[64/63]]) = 1029/1024, (49/48)/(3125/3072) = 3136/3125, (49/48)/([[50/49]]) = 2401/2400, (128/125)/(49/48) = 6144/6125, ([[36/35]])/(49/48) = 1728/1715. | |||
[http://en.wikipedia.org/wiki/Septimal_diesis http://en.wikipedia.org/wiki/Septimal_diesis] | |||
[[Category:interval]] | |||
[[Category:septimal]] | [[Category:septimal]] | ||
Revision as of 21:21, 14 October 2018
The large septimal or slendro diesis, 49/48 (35.6968 cents), is a superparticular ratio spanning the small distance between a subminor third of 7/6 and a supermajor second of 8/7. It is tempered out in 15edo and 19edo, where the two intervals are equated, and the fourth is split in a perfect half. It cannot be tempered out if all of the consonances of the 7-limit are distinct, but it can be equated with other commas; for example (49/48)/(81/80) = 245/243, (49/48)/(64/63) = 1029/1024, (49/48)/(3125/3072) = 3136/3125, (49/48)/(50/49) = 2401/2400, (128/125)/(49/48) = 6144/6125, (36/35)/(49/48) = 1728/1715.