1L 10s
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Brightest mode | Lssssssssss | |
Period | 2/1 | |
Range for bright generator | 10\11 (1,090.9¢) to 1\1 (1,200.0¢) | |
Range for dark generator | 0\1 (0.0¢) to 1\11 (109.1¢) | |
Parent MOS | 1L 9s | |
Daughter MOSes | 11L 1s, 1L 11s | |
Sister MOS | 10L 1s | |
Equal tunings | ||
Supersoft (L:s = 4:3) | 31\34 (1,094.1¢) | |
Soft (L:s = 3:2) | 21\23 (1,095.7¢) | |
Semisoft (L:s = 5:3) | 32\35 (1,097.1¢) | |
Basic (L:s = 2:1) | 11\12 (1,100.0¢) | |
Semihard (L:s = 5:2) | 23\25 (1,104.0¢) | |
Hard (L:s = 3:1) | 12\13 (1,107.7¢) | |
Superhard (L:s = 4:1) | 13\14 (1,114.3¢) |
1L 10s is the MOS pattern Lssssssssss with small steps ranging from 0\1 (0¢) to 1\11 (one step of 11edo = 109.1¢).
This MOS achieves its simplest harmonic entropy minimum where two generators equal 9/8. The temperament which occupies this harmonic entropy minimum is called Ripple, but there are several lower (and more complex) harmonic entropy minima of note including (in descending order of generator height): Passion (6/5 = +3 generators), Octacot (3/2 = +8 generators), Nautilus (3/2 = -6 generators) and Valentine (7/4 = -3 generators).
Modes
- 10|0 Lssssssssss
- 9|1 sLsssssssss
- 8|2 ssLssssssss
- 7|3 sssLsssssss
- 6|4 ssssLssssss
- 5|5 sssssLsssss
- 4|6 ssssssLssss
- 3|7 sssssssLsss
- 2|8 ssssssssLss
- 1|9 sssssssssLs
- 0|10 ssssssssssL
Scale tree
Generator ranges:
- Chroma-positive generator: 1090.9091 cents (10\11) to 1200 cents (1\1)
- Chroma-negative generator: 0 cents (0\1) to 109.0909 cents (1\11)
Small step (chroma-negative generator) |
Cents | L | s | L/s | Comments | |||||
---|---|---|---|---|---|---|---|---|---|---|
1\11 | 109.091 | 1 | 1 | 1.000 | ||||||
5\56 | 107.143 | 6 | 5 | 1.200 | ||||||
4\45 | 106.667 | 5 | 4 | 1.250 | ||||||
7\79 | 106.329 | 9 | 7 | 1.286 | ||||||
3\34 | 105.882 | 4 | 3 | 1.333 | ||||||
8\91 | 105.495 | 11 | 8 | 1.375 | ||||||
5\57 | 105.263 | 7 | 5 | 1.400 | ||||||
7\80 | 105.000 | 10 | 7 | 1.429 | Septendesemi | |||||
2\23 | 104.348 | 3 | 2 | 1.500 | ||||||
7\81 | 103.704 | 11 | 7 | 1.571 | ||||||
5\58 | 103.448 | 8 | 5 | 1.600 | ||||||
8\93 | 103.226 | 13 | 8 | 1.625 | Golden ripple (103.2877¢) | |||||
3\35 | 102.857 | 5 | 3 | 1.667 | ||||||
7\82 | 102.439 | 12 | 7 | 1.714 | ||||||
4\47 | 102.128 | 7 | 4 | 1.750 | ||||||
5\59 | 101.695 | 9 | 5 | 1.800 | ||||||
1\12 | 100.000 | 2 | 1 | 2.000 | Basic 1L 10s (small steps larger than this are proper) | |||||
4\49 | 97.959 | 9 | 4 | 2.250 | ||||||
3\37 | 97.297 | 7 | 3 | 2.333 | Passion | |||||
5\62 | 96.774 | 12 | 5 | 2.400 | ||||||
2\25 | 96.000 | 5 | 2 | 2.500 | ||||||
5\63 | 95.238 | 13 | 5 | 2.600 | Unnamed golden tuning (95.102¢) | |||||
3\38 | 94.737 | 8 | 3 | 2.667 | ||||||
4\51 | 94.118 | 11 | 4 | 2.750 | ||||||
1\13 | 92.308 | 3 | 1 | 3.000 | ||||||
3\40 | 90.000 | 10 | 3 | 3.333 | ||||||
2\27 | 88.889 | 7 | 2 | 3.500 | ||||||
3\41 | 87.805 | 11 | 3 | 3.667 | Octacot | |||||
1\14 | 85.714 | 4 | 1 | 4.000 | ||||||
2\29 | 82.759 | 9 | 2 | 4.500 | ||||||
1\15 | 80.000 | 5 | 1 | 5.000 | Valentine | |||||
1\16 | 75.000 | 6 | 1 | 6.000 | ||||||
0\1 | 0.000 | 1 | 0 | → inf |