49/48: Difference between revisions
Jump to navigation
Jump to search
Wikispaces>FREEZE No edit summary |
m Text replacement - "(\[\[\:(dev|es|purdal|de|en):[^[:space:]\|]*) (.*])" to "$1|$3" |
||
| Line 1: | Line 1: | ||
<span style="display: block; text-align: right;">[[:de:49/48 Deutsch]]</span> | <span style="display: block; text-align: right;">[[:de:49/48|Deutsch]]</span> | ||
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|8/7]]. It is tempered out in [[15edo|15edo]] and [[19edo|19edo]], where the two intervals are equated. 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. | 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|8/7]]. It is tempered out in [[15edo|15edo]] and [[19edo|19edo]], where the two intervals are equated. 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. | ||
Revision as of 00:09, 17 September 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. 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.