1L 9s
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Brightest mode
Lsssssssss
Period
2/1
Range for bright generator
9\10 (1080¢) to 1\1 (1200¢)
Range for dark generator
0\1 (0¢) to 1\10 (120¢)
TAMNAMS name
antisinaic
TAMNAMS prefix
asina- (abbr. asi)
Parent MOS
1L 8s
Sister MOS
9L 1s
Daughter MOSes
10L 1s, 1L 10s
Equal tunings
Supersoft (L:s = 4:3)
28\31 (1083.9¢)
Soft (L:s = 3:2)
19\21 (1085.7¢)
Semisoft (L:s = 5:3)
29\32 (1087.5¢)
Basic (L:s = 2:1)
10\11 (1090.9¢)
Semihard (L:s = 5:2)
21\23 (1095.7¢)
Hard (L:s = 3:1)
11\12 (1100¢)
Superhard (L:s = 4:1)
12\13 (1107.7¢)
| ↑1L 8s | 2L 8s↗ | |
| 1L 9s | 2L 9s→ | |
| ↓1L 10s | 2L 10s↘ |
1L 9s, also called antisinaic, is a moment of symmetry scale consisting of 1 large step and 9 small steps, repeating every octave. This scale is made using a generator ranging from 1080¢ to 1200¢, or from 0¢ to 120¢.
This MOS is also called the "Happy" decatonic scale in Graham Breed's naming system. It is the simplest MOS which may be used as a complete version of Miracle temperament, which is also its harmonic entropy minimum.
Modes
- 9|0 Lsssssssss
- 8|1 sLssssssss
- 7|2 ssLsssssss
- 6|3 sssLssssss
- 5|4 ssssLsssss
- 4|5 sssssLssss
- 3|6 ssssssLsss
- 2|7 sssssssLss
- 1|8 ssssssssLs
- 0|9 sssssssssL
Scale tree
Generator ranges:
- Chroma-positive generator: 1080 cents (9\10) to 1200 cents (1\1)
- Chroma-negative generator: 0 cents (0\1) to 120 cents (1\10)
| Small step (chroma-negative generator) |
Cents | L | s | L/s | Comments | |||||
|---|---|---|---|---|---|---|---|---|---|---|
| 1\10 | 120.000 | 1 | 1 | 1.000 | ||||||
| 5\51 | 117.647 | 6 | 5 | 1.200 | ||||||
| 4\41 | 117.073 | 5 | 4 | 1.250 | ||||||
| 7\72 | 116.667 | 9 | 7 | 1.286 | Miracle | |||||
| 3\31 | 116.129 | 4 | 3 | 1.333 | ||||||
| 8\83 | 115.663 | 11 | 8 | 1.375 | ||||||
| 5\52 | 115.385 | 7 | 5 | 1.400 | ||||||
| 7\73 | 115.068 | 10 | 7 | 1.429 | ||||||
| 2\21 | 114.286 | 3 | 2 | 1.500 | ||||||
| 7\74 | 113.514 | 11 | 7 | 1.571 | ||||||
| 5\53 | 113.208 | 8 | 5 | 1.600 | ||||||
| 8\85 | 112.941 | 13 | 8 | 1.625 | Golden misneb (113.0153¢) | |||||
| 3\32 | 112.500 | 5 | 3 | 1.667 | ||||||
| 7\75 | 112.000 | 12 | 7 | 1.714 | ||||||
| 4\43 | 111.628 | 7 | 4 | 1.750 | ||||||
| 5\54 | 111.111 | 9 | 5 | 1.800 | ||||||
| 1\11 | 109.091 | 2 | 1 | 2.000 | Basic 1L 9s (small steps larger than this are proper) | |||||
| 4\45 | 106.667 | 9 | 4 | 2.250 | ||||||
| 3\34 | 105.882 | 7 | 3 | 2.333 | ||||||
| 5\57 | 105.263 | 12 | 5 | 2.400 | ||||||
| 2\23 | 104.348 | 5 | 2 | 2.500 | ||||||
| 5\58 | 103.448 | 13 | 5 | 2.600 | Golden ripple (103.2877¢) | |||||
| 3\35 | 102.857 | 8 | 3 | 2.667 | ||||||
| 4\47 | 102.128 | 11 | 4 | 2.750 | ||||||
| 1\12 | 100.000 | 3 | 1 | 3.000 | Ripple | |||||
| 3\37 | 97.297 | 10 | 3 | 3.333 | Passion | |||||
| 2\25 | 96.000 | 7 | 2 | 3.500 | ||||||
| 3\38 | 94.737 | 11 | 3 | 3.667 | ||||||
| 1\13 | 92.308 | 4 | 1 | 4.000 | ||||||
| 2\27 | 88.889 | 9 | 2 | 4.500 | ||||||
| 1\14 | 85.714 | 5 | 1 | 5.000 | ||||||
| 1\15 | 80.000 | 6 | 1 | 6.000 | Valentine | |||||
| 0\1 | 0.000 | 1 | 0 | → inf | ||||||