10L 7s
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Scale structure
Step pattern
LLsLsLLsLsLLsLsLs
sLsLsLLsLsLLsLsLL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
5\17 to 3\10 (352.9¢ to 360.0¢)
Dark
7\10 to 12\17 (840.0¢ to 847.1¢)
TAMNAMS information
Descends from
7L 3s (dicoid)
Required step ratio range
1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent
7L 3s
Sister
7L 10s
Daughters
17L 10s
10L 17s
Equal tunings
Equalized (L:s = 1:1)
5\17 (352.9¢)
Supersoft (L:s = 4:3)
18\61 (354.1¢)
Soft (L:s = 3:2)
13\44 (354.5¢)
Semisoft (L:s = 5:3)
21\71 (354.9¢)
Basic (L:s = 2:1)
8\27 (355.6¢)
Semihard (L:s = 5:2)
19\64 (356.2¢)
Hard (L:s = 3:1)
11\37 (356.8¢)
Superhard (L:s = 4:1)
14\47 (357.4¢)
Collapsed (L:s = 1:0)
3\10 (360.0¢)
| ↖9L 6s | ↑10L 6s | 11L 6s↗ |
| ←9L 7s | 10L 7s | 11L 7s→ |
| ↙9L 8s | ↓10L 8s | 11L 8s↘ |
┌╥╥┬╥┬╥╥┬╥┬╥╥┬╥┬╥┬┐ │║║│║│║║│║│║║│║│║││ │││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLsLsLLsLsLLsLsLL
10L 17s
10L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 7 small steps, repeating every octave. 10L 7s is a child scale of 7L 3s, expanding it by 7 tones. Generators that produce this scale range from 352.9¢ to 360¢, or from 840¢ to 847.1¢.
This scale is the neutral thirds version of Schismic temperament. The range of the bright generator also makes it an improper MOS of Beatles temperament (generator = c. 19\64 ~ 356.25 ¢).
Scale tree
| Generator(edo) | Cents | Step Ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 5\17 | 352.941 | 847.059 | 1:1 | 1.000 | Equalized 10L 7s | |||||
| 28\95 | 353.684 | 846.316 | 6:5 | 1.200 | ||||||
| 23\78 | 353.846 | 846.154 | 5:4 | 1.250 | ||||||
| 41\139 | 353.957 | 846.043 | 9:7 | 1.286 | ||||||
| 18\61 | 354.098 | 845.902 | 4:3 | 1.333 | Supersoft 10L 7s | |||||
| 49\166 | 354.217 | 845.783 | 11:8 | 1.375 | ||||||
| 31\105 | 354.286 | 845.714 | 7:5 | 1.400 | ||||||
| 44\149 | 354.362 | 845.638 | 10:7 | 1.429 | ||||||
| 13\44 | 354.545 | 845.455 | 3:2 | 1.500 | Soft 10L 7s | |||||
| 47\159 | 354.717 | 845.283 | 11:7 | 1.571 | ||||||
| 34\115 | 354.783 | 845.217 | 8:5 | 1.600 | ||||||
| 55\186 | 354.839 | 845.161 | 13:8 | 1.625 | ||||||
| 21\71 | 354.930 | 845.070 | 5:3 | 1.667 | Semisoft 10L 7s | |||||
| 50\169 | 355.030 | 844.970 | 12:7 | 1.714 | ||||||
| 29\98 | 355.102 | 844.898 | 7:4 | 1.750 | ||||||
| 37\125 | 355.200 | 844.800 | 9:5 | 1.800 | ||||||
| 8\27 | 355.556 | 844.444 | 2:1 | 2.000 | Basic 10L 7s Scales with tunings softer than this are proper | |||||
| 35\118 | 355.932 | 844.068 | 9:4 | 2.250 | ||||||
| 27\91 | 356.044 | 843.956 | 7:3 | 2.333 | ||||||
| 46\155 | 356.129 | 843.871 | 12:5 | 2.400 | ||||||
| 19\64 | 356.250 | 843.750 | 5:2 | 2.500 | Semihard 10L 7s | |||||
| 49\165 | 356.364 | 843.636 | 13:5 | 2.600 | ||||||
| 30\101 | 356.436 | 843.564 | 8:3 | 2.667 | ||||||
| 41\138 | 356.522 | 843.478 | 11:4 | 2.750 | ||||||
| 11\37 | 356.757 | 843.243 | 3:1 | 3.000 | Hard 10L 7s | |||||
| 36\121 | 357.025 | 842.975 | 10:3 | 3.333 | ||||||
| 25\84 | 357.143 | 842.857 | 7:2 | 3.500 | ||||||
| 39\131 | 357.252 | 842.748 | 11:3 | 3.667 | ||||||
| 14\47 | 357.447 | 842.553 | 4:1 | 4.000 | Superhard 10L 7s | |||||
| 31\104 | 357.692 | 842.308 | 9:2 | 4.500 | ||||||
| 17\57 | 357.895 | 842.105 | 5:1 | 5.000 | ||||||
| 20\67 | 358.209 | 841.791 | 6:1 | 6.000 | ||||||
| 3\10 | 360.000 | 840.000 | 1:0 | → ∞ | Collapsed 10L 7s | |||||