1L 9s
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Brightest mode | Lsssssssss | |
Period | 2/1 | |
Range for bright generator | 9\10 (1,080.0¢) to 1\1 (1,200.0¢) | |
Range for dark generator | 0\1 (0.0¢) to 1\10 (120.0¢) | |
Parent MOS | 1L 8s | |
Daughter MOSes | 10L 1s, 1L 10s | |
Sister MOS | 9L 1s | |
Equal tunings | ||
Supersoft (L:s = 4:3) | 28\31 (1,083.9¢) | |
Soft (L:s = 3:2) | 19\21 (1,085.7¢) | |
Semisoft (L:s = 5:3) | 29\32 (1,087.5¢) | |
Basic (L:s = 2:1) | 10\11 (1,090.9¢) | |
Semihard (L:s = 5:2) | 21\23 (1,095.7¢) | |
Hard (L:s = 3:1) | 11\12 (1,100.0¢) | |
Superhard (L:s = 4:1) | 12\13 (1,107.7¢) |
1L 9s is the MOS pattern Lsssssssss with small steps ranging from 0\1 (0¢) to 1\10 (one step of 10edo = 120¢).
This MOS is called the "Happy" decatonic scale in Graham Breed's system, or, potentially, antisinatonic in TAMNAMS by analogy to its sister MOS. 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 |