10L 5s
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Scale structure
Step pattern
LLsLLsLLsLLsLLs
sLLsLLsLLsLLsLL
Equave
2/1 (1200.0¢)
Period
1\5 (240.0¢)
Generator size
Bright
1\15 to 1\10 (80.0¢ to 120.0¢)
Dark
1\10 to 2\15 (120.0¢ to 160.0¢)
TAMNAMS information
Descends from
5L 5s (pentawood)
Required step ratio range
1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent
5L 5s
Sister
5L 10s
Daughters
15L 10s
10L 15s
Equal tunings
Equalized (L:s = 1:1)
1\15 (80.0¢)
Supersoft (L:s = 4:3)
4\55 (87.3¢)
Soft (L:s = 3:2)
3\40 (90.0¢)
Semisoft (L:s = 5:3)
5\65 (92.3¢)
Basic (L:s = 2:1)
2\25 (96.0¢)
Semihard (L:s = 5:2)
5\60 (100.0¢)
Hard (L:s = 3:1)
3\35 (102.9¢)
Superhard (L:s = 4:1)
4\45 (106.7¢)
Collapsed (L:s = 1:0)
1\10 (120.0¢)
| ↖9L 4s | ↑10L 4s | 11L 4s↗ |
| ←9L 5s | 10L 5s | 11L 5s→ |
| ↙9L 6s | ↓10L 6s | 11L 6s↘ |
┌╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬┐ │║║│║║│║║│║║│║║││ │││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLsLLsLLsLLsLL
10L 15s
10L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 5 small steps, with a period of 2 large steps and 1 small step that repeats every 240.0¢, or 5 times every octave. 10L 5s is a child scale of 5L 5s, expanding it by 5 tones. Generators that produce this scale range from 80¢ to 120¢, or from 120¢ to 160¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.
Modes
| UDP | Rotational order | Step pattern |
|---|---|---|
| 10|0(5) | 1 | LLsLLsLLsLLsLLs |
| 5|5(5) | 2 | LsLLsLLsLLsLLsL |
| 0|10(5) | 3 | sLLsLLsLLsLLsLL |
Scale tree
| Generator(edo) | Cents | Step Ratio | Comments(always proper) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 1\15 | 80.000 | 160.000 | 1:1 | 1.000 | Equalized 10L 5s | |||||
| 6\85 | 84.706 | 155.294 | 6:5 | 1.200 | ||||||
| 5\70 | 85.714 | 154.286 | 5:4 | 1.250 | ||||||
| 9\125 | 86.400 | 153.600 | 9:7 | 1.286 | ||||||
| 4\55 | 87.273 | 152.727 | 4:3 | 1.333 | Supersoft 10L 5s | |||||
| 11\150 | 88.000 | 152.000 | 11:8 | 1.375 | ||||||
| 7\95 | 88.421 | 151.579 | 7:5 | 1.400 | ||||||
| 10\135 | 88.889 | 151.111 | 10:7 | 1.429 | ||||||
| 3\40 | 90.000 | 150.000 | 3:2 | 1.500 | Soft 10L 5s | |||||
| 11\145 | 91.034 | 148.966 | 11:7 | 1.571 | ||||||
| 8\105 | 91.429 | 148.571 | 8:5 | 1.600 | ||||||
| 13\170 | 91.765 | 148.235 | 13:8 | 1.625 | ||||||
| 5\65 | 92.308 | 147.692 | 5:3 | 1.667 | Semisoft 10L 5s | |||||
| 12\155 | 92.903 | 147.097 | 12:7 | 1.714 | ||||||
| 7\90 | 93.333 | 146.667 | 7:4 | 1.750 | ||||||
| 9\115 | 93.913 | 146.087 | 9:5 | 1.800 | ||||||
| 2\25 | 96.000 | 144.000 | 2:1 | 2.000 | Basic 10L 5s | |||||
| 9\110 | 98.182 | 141.818 | 9:4 | 2.250 | ||||||
| 7\85 | 98.824 | 141.176 | 7:3 | 2.333 | ||||||
| 12\145 | 99.310 | 140.690 | 12:5 | 2.400 | ||||||
| 5\60 | 100.000 | 140.000 | 5:2 | 2.500 | Semihard 10L 5s | |||||
| 13\155 | 100.645 | 139.355 | 13:5 | 2.600 | ||||||
| 8\95 | 101.053 | 138.947 | 8:3 | 2.667 | ||||||
| 11\130 | 101.538 | 138.462 | 11:4 | 2.750 | ||||||
| 3\35 | 102.857 | 137.143 | 3:1 | 3.000 | Hard 10L 5s | |||||
| 10\115 | 104.348 | 135.652 | 10:3 | 3.333 | ||||||
| 7\80 | 105.000 | 135.000 | 7:2 | 3.500 | ||||||
| 11\125 | 105.600 | 134.400 | 11:3 | 3.667 | ||||||
| 4\45 | 106.667 | 133.333 | 4:1 | 4.000 | Superhard 10L 5s | |||||
| 9\100 | 108.000 | 132.000 | 9:2 | 4.500 | ||||||
| 5\55 | 109.091 | 130.909 | 5:1 | 5.000 | ||||||
| 6\65 | 110.769 | 129.231 | 6:1 | 6.000 | ||||||
| 1\10 | 120.000 | 120.000 | 1:0 | → ∞ | Collapsed 10L 5s | |||||
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