10L 11s: Difference between revisions
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This is the simplest MOS for which [[miracle]] temperament can be used{{Clarify}}, placing the low estimate for the boundary of "practicality" at 41edo (L:s = 3:1). | This is the simplest MOS for which [[miracle]] temperament can be used{{Clarify}}, placing the low estimate for the boundary of "practicality" at 41edo (L:s = 3:1). | ||
[[User:Eliora|Eliora]] has proposed the name ''miracloid'' for this pattern. | [[User:Eliora|Eliora]] has proposed the name ''miracloid'' for this pattern. | ||
== Intervals == | == Intervals == |
Revision as of 06:41, 15 December 2024
↖ 9L 10s | ↑ 10L 10s | 11L 10s ↗ |
← 9L 11s | 10L 11s | 11L 11s → |
↙ 9L 12s | ↓ 10L 12s | 11L 12s ↘ |
┌╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┬┐ │║│║│║│║│║│║│║│║│║│║│││ │││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
ssLsLsLsLsLsLsLsLsLsL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
10L 11s, also called miracloid, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 11 small steps, repeating every octave. 10L 11s is a grandchild scale of 1L 9s, expanding it by 11 tones. Generators that produce this scale range from 114.3 ¢ to 120 ¢, or from 1080 ¢ to 1085.7 ¢.
This is the simplest MOS for which miracle temperament can be used[clarification needed], placing the low estimate for the boundary of "practicality" at 41edo (L:s = 3:1). Eliora has proposed the name miracloid for this pattern.
Intervals
Intervals | Steps subtended |
Range in cents | ||
---|---|---|---|---|
Generic | Specific | Abbrev. | ||
0-mosstep | Perfect 0-mosstep | P0ms | 0 | 0.0 ¢ |
1-mosstep | Minor 1-mosstep | m1ms | s | 0.0 ¢ to 57.1 ¢ |
Major 1-mosstep | M1ms | L | 57.1 ¢ to 120.0 ¢ | |
2-mosstep | Diminished 2-mosstep | d2ms | 2s | 0.0 ¢ to 114.3 ¢ |
Perfect 2-mosstep | P2ms | L + s | 114.3 ¢ to 120.0 ¢ | |
3-mosstep | Minor 3-mosstep | m3ms | L + 2s | 120.0 ¢ to 171.4 ¢ |
Major 3-mosstep | M3ms | 2L + s | 171.4 ¢ to 240.0 ¢ | |
4-mosstep | Minor 4-mosstep | m4ms | L + 3s | 120.0 ¢ to 228.6 ¢ |
Major 4-mosstep | M4ms | 2L + 2s | 228.6 ¢ to 240.0 ¢ | |
5-mosstep | Minor 5-mosstep | m5ms | 2L + 3s | 240.0 ¢ to 285.7 ¢ |
Major 5-mosstep | M5ms | 3L + 2s | 285.7 ¢ to 360.0 ¢ | |
6-mosstep | Minor 6-mosstep | m6ms | 2L + 4s | 240.0 ¢ to 342.9 ¢ |
Major 6-mosstep | M6ms | 3L + 3s | 342.9 ¢ to 360.0 ¢ | |
7-mosstep | Minor 7-mosstep | m7ms | 3L + 4s | 360.0 ¢ to 400.0 ¢ |
Major 7-mosstep | M7ms | 4L + 3s | 400.0 ¢ to 480.0 ¢ | |
8-mosstep | Minor 8-mosstep | m8ms | 3L + 5s | 360.0 ¢ to 457.1 ¢ |
Major 8-mosstep | M8ms | 4L + 4s | 457.1 ¢ to 480.0 ¢ | |
9-mosstep | Minor 9-mosstep | m9ms | 4L + 5s | 480.0 ¢ to 514.3 ¢ |
Major 9-mosstep | M9ms | 5L + 4s | 514.3 ¢ to 600.0 ¢ | |
10-mosstep | Minor 10-mosstep | m10ms | 4L + 6s | 480.0 ¢ to 571.4 ¢ |
Major 10-mosstep | M10ms | 5L + 5s | 571.4 ¢ to 600.0 ¢ | |
11-mosstep | Minor 11-mosstep | m11ms | 5L + 6s | 600.0 ¢ to 628.6 ¢ |
Major 11-mosstep | M11ms | 6L + 5s | 628.6 ¢ to 720.0 ¢ | |
12-mosstep | Minor 12-mosstep | m12ms | 5L + 7s | 600.0 ¢ to 685.7 ¢ |
Major 12-mosstep | M12ms | 6L + 6s | 685.7 ¢ to 720.0 ¢ | |
13-mosstep | Minor 13-mosstep | m13ms | 6L + 7s | 720.0 ¢ to 742.9 ¢ |
Major 13-mosstep | M13ms | 7L + 6s | 742.9 ¢ to 840.0 ¢ | |
14-mosstep | Minor 14-mosstep | m14ms | 6L + 8s | 720.0 ¢ to 800.0 ¢ |
Major 14-mosstep | M14ms | 7L + 7s | 800.0 ¢ to 840.0 ¢ | |
15-mosstep | Minor 15-mosstep | m15ms | 7L + 8s | 840.0 ¢ to 857.1 ¢ |
Major 15-mosstep | M15ms | 8L + 7s | 857.1 ¢ to 960.0 ¢ | |
16-mosstep | Minor 16-mosstep | m16ms | 7L + 9s | 840.0 ¢ to 914.3 ¢ |
Major 16-mosstep | M16ms | 8L + 8s | 914.3 ¢ to 960.0 ¢ | |
17-mosstep | Minor 17-mosstep | m17ms | 8L + 9s | 960.0 ¢ to 971.4 ¢ |
Major 17-mosstep | M17ms | 9L + 8s | 971.4 ¢ to 1080.0 ¢ | |
18-mosstep | Minor 18-mosstep | m18ms | 8L + 10s | 960.0 ¢ to 1028.6 ¢ |
Major 18-mosstep | M18ms | 9L + 9s | 1028.6 ¢ to 1080.0 ¢ | |
19-mosstep | Perfect 19-mosstep | P19ms | 9L + 10s | 1080.0 ¢ to 1085.7 ¢ |
Augmented 19-mosstep | A19ms | 10L + 9s | 1085.7 ¢ to 1200.0 ¢ | |
20-mosstep | Minor 20-mosstep | m20ms | 9L + 11s | 1080.0 ¢ to 1142.9 ¢ |
Major 20-mosstep | M20ms | 10L + 10s | 1142.9 ¢ to 1200.0 ¢ | |
21-mosstep | Perfect 21-mosstep | P21ms | 10L + 11s | 1200.0 ¢ |