9L 5s: Difference between revisions
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m Copying from Category:Abstract MOS patterns to Category:14-tone scales using Cat-a-lot |
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[[Category:14-tone scales]] |
Revision as of 16:15, 6 January 2023
↖ 8L 4s | ↑ 9L 4s | 10L 4s ↗ |
← 8L 5s | 9L 5s | 10L 5s → |
↙ 8L 6s | ↓ 9L 6s | 10L 6s ↘ |
┌╥╥┬╥╥┬╥╥┬╥╥┬╥┬┐ │║║│║║│║║│║║│║││ ││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
sLsLLsLLsLLsLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
9L 5s refers to the structure of moment of symmetry scales with generators ranging from 2\9edo (two degrees of 9edo = 266¢) to 3\14 (three degrees of 14edo = 257¢). In the case of 14edo, L and s are the same size; in the case of 9edo, s becomes so small it disappears. The generator can be said to approximate 7/6, but just 7/6 is larger than 2\9edo, so it cannot be used as a generator. The simplest just interval that works as a generator is 36/31. Two generators are said to create a fourth like Godzilla, but in reality it is closer to 27/20, if that is considered a consonance.
9L5s is third smallest MOS of Semiphore.
generator in degrees of an edo | generator in cents | L in cents | s in cents | notes |
3\14 | 257¢ | 86¢ | 86¢ | L=s |
258.87¢ | 94¢ | 70¢ | Just interval 36/31 | |
8\37 | 259¢ | 97¢ | 65¢ | |
5\23 | 261¢ | 104¢ | 52¢ | L≈2s |
~261.5¢ | 104¢ | 52¢ | L=2s | |
7\32 | 262¢ | 113¢ | 38¢ | |
2\9 | 266¢ | 266¢ | 0¢ | s=0 |