1L 10s
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Scale structure
Step pattern
Lssssssssss
ssssssssssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
10\11 to 1\1 (1090.9¢ to 1200.0¢)
Dark
0\1 to 1\11 (0.0¢ to 109.1¢)
TAMNAMS information
Descends from
1L 9s
Ancestor's step ratio range
2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent
1L 9s
Sister
10L 1s
Daughters
11L 1s, 1L 11s
Neutralized
2L 9s
2-Flought
12L 10s, 1L 21s
Equal tunings
Equalized (L:s = 1:1)
10\11 (1090.9¢)
Supersoft (L:s = 4:3)
31\34 (1094.1¢)
Soft (L:s = 3:2)
21\23 (1095.7¢)
Semisoft (L:s = 5:3)
32\35 (1097.1¢)
Basic (L:s = 2:1)
11\12 (1100.0¢)
Semihard (L:s = 5:2)
23\25 (1104.0¢)
Hard (L:s = 3:1)
12\13 (1107.7¢)
Superhard (L:s = 4:1)
13\14 (1114.3¢)
Collapsed (L:s = 1:0)
1\1 (1200.0¢)
| ↑ 1L 9s | 2L 9s ↗ | |
| 1L 10s | 2L 10s → | |
| ↓ 1L 11s | 2L 11s ↘ |
┌╥┬┬┬┬┬┬┬┬┬┬┐ │║│││││││││││ │││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┘
ssssssssssL
1L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 10 small steps, repeating every octave. 1L 10s is a child scale of 1L 9s, expanding it by 1 tones. Generators that produce this scale range from 1090.9¢ to 1200¢, or from 0¢ to 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
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 10|0 | 1 | Lssssssssss |
| 9|1 | 11 | sLsssssssss |
| 8|2 | 10 | ssLssssssss |
| 7|3 | 9 | sssLsssssss |
| 6|4 | 8 | ssssLssssss |
| 5|5 | 7 | sssssLsssss |
| 4|6 | 6 | ssssssLssss |
| 3|7 | 5 | sssssssLsss |
| 2|8 | 4 | ssssssssLss |
| 1|9 | 3 | sssssssssLs |
| 0|10 | 2 | ssssssssssL |
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-mosstep | Perfect 0-mosstep | P0ms | 0 | 0.0¢ |
| 1-mosstep | Perfect 1-mosstep | P1ms | s | 0.0¢ to 109.1¢ |
| Augmented 1-mosstep | A1ms | L | 109.1¢ to 1200.0¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | 2s | 0.0¢ to 218.2¢ |
| Major 2-mosstep | M2ms | L + s | 218.2¢ to 1200.0¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | 3s | 0.0¢ to 327.3¢ |
| Major 3-mosstep | M3ms | L + 2s | 327.3¢ to 1200.0¢ | |
| 4-mosstep | Minor 4-mosstep | m4ms | 4s | 0.0¢ to 436.4¢ |
| Major 4-mosstep | M4ms | L + 3s | 436.4¢ to 1200.0¢ | |
| 5-mosstep | Minor 5-mosstep | m5ms | 5s | 0.0¢ to 545.5¢ |
| Major 5-mosstep | M5ms | L + 4s | 545.5¢ to 1200.0¢ | |
| 6-mosstep | Minor 6-mosstep | m6ms | 6s | 0.0¢ to 654.5¢ |
| Major 6-mosstep | M6ms | L + 5s | 654.5¢ to 1200.0¢ | |
| 7-mosstep | Minor 7-mosstep | m7ms | 7s | 0.0¢ to 763.6¢ |
| Major 7-mosstep | M7ms | L + 6s | 763.6¢ to 1200.0¢ | |
| 8-mosstep | Minor 8-mosstep | m8ms | 8s | 0.0¢ to 872.7¢ |
| Major 8-mosstep | M8ms | L + 7s | 872.7¢ to 1200.0¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | 9s | 0.0¢ to 981.8¢ |
| Major 9-mosstep | M9ms | L + 8s | 981.8¢ to 1200.0¢ | |
| 10-mosstep | Diminished 10-mosstep | d10ms | 10s | 0.0¢ to 1090.9¢ |
| Perfect 10-mosstep | P10ms | L + 9s | 1090.9¢ to 1200.0¢ | |
| 11-mosstep | Perfect 11-mosstep | P11ms | L + 10s | 1200.0¢ |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 10\11 | 1090.909 | 109.091 | 1:1 | 1.000 | Equalized 1L 10s | |||||
| 51\56 | 1092.857 | 107.143 | 6:5 | 1.200 | ||||||
| 41\45 | 1093.333 | 106.667 | 5:4 | 1.250 | ||||||
| 72\79 | 1093.671 | 106.329 | 9:7 | 1.286 | ||||||
| 31\34 | 1094.118 | 105.882 | 4:3 | 1.333 | Supersoft 1L 10s | |||||
| 83\91 | 1094.505 | 105.495 | 11:8 | 1.375 | ||||||
| 52\57 | 1094.737 | 105.263 | 7:5 | 1.400 | ||||||
| 73\80 | 1095.000 | 105.000 | 10:7 | 1.429 | Septendesemi | |||||
| 21\23 | 1095.652 | 104.348 | 3:2 | 1.500 | Soft 1L 10s | |||||
| 74\81 | 1096.296 | 103.704 | 11:7 | 1.571 | ||||||
| 53\58 | 1096.552 | 103.448 | 8:5 | 1.600 | ||||||
| 85\93 | 1096.774 | 103.226 | 13:8 | 1.625 | Golden ripple (103.288¢) | |||||
| 32\35 | 1097.143 | 102.857 | 5:3 | 1.667 | Semisoft 1L 10s | |||||
| 75\82 | 1097.561 | 102.439 | 12:7 | 1.714 | ||||||
| 43\47 | 1097.872 | 102.128 | 7:4 | 1.750 | ||||||
| 54\59 | 1098.305 | 101.695 | 9:5 | 1.800 | ||||||
| 11\12 | 1100.000 | 100.000 | 2:1 | 2.000 | Basic 1L 10s Scales with tunings softer than this are proper | |||||
| 45\49 | 1102.041 | 97.959 | 9:4 | 2.250 | Passion | |||||
| 34\37 | 1102.703 | 97.297 | 7:3 | 2.333 | ||||||
| 57\62 | 1103.226 | 96.774 | 12:5 | 2.400 | ||||||
| 23\25 | 1104.000 | 96.000 | 5:2 | 2.500 | Semihard 1L 10s | |||||
| 58\63 | 1104.762 | 95.238 | 13:5 | 2.600 | Unnamed golden tuning | |||||
| 35\38 | 1105.263 | 94.737 | 8:3 | 2.667 | ||||||
| 47\51 | 1105.882 | 94.118 | 11:4 | 2.750 | ||||||
| 12\13 | 1107.692 | 92.308 | 3:1 | 3.000 | Hard 1L 10s | |||||
| 37\40 | 1110.000 | 90.000 | 10:3 | 3.333 | ||||||
| 25\27 | 1111.111 | 88.889 | 7:2 | 3.500 | ||||||
| 38\41 | 1112.195 | 87.805 | 11:3 | 3.667 | Octacot | |||||
| 13\14 | 1114.286 | 85.714 | 4:1 | 4.000 | Superhard 1L 10s Nuke | |||||
| 27\29 | 1117.241 | 82.759 | 9:2 | 4.500 | Nautilus | |||||
| 14\15 | 1120.000 | 80.000 | 5:1 | 5.000 | Valentine | |||||
| 15\16 | 1125.000 | 75.000 | 6:1 | 6.000 | ↓ Slurpee | |||||
| 1\1 | 1200.000 | 0.000 | 1:0 | → ∞ | Collapsed 1L 10s | |||||