7L 15s
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Scale structure
Step pattern
LssLssLssLssLssLssLsss
sssLssLssLssLssLssLssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
3\22 to 1\7 (163.6¢ to 171.4¢)
Dark
6\7 to 19\22 (1028.6¢ to 1036.4¢)
TAMNAMS information
Descends from
7L 1s (pine)
Required step ratio range
3:1 to 1:0 (hard)
Related MOS scales
Parent
7L 8s
Sister
15L 7s
Daughters
22L 7s
7L 22s
Equal tunings
Equalized (L:s = 1:1)
3\22 (163.6¢)
Supersoft (L:s = 4:3)
10\73 (164.4¢)
Soft (L:s = 3:2)
7\51 (164.7¢)
Semisoft (L:s = 5:3)
11\80 (165.0¢)
Basic (L:s = 2:1)
4\29 (165.5¢)
Semihard (L:s = 5:2)
9\65 (166.2¢)
Hard (L:s = 3:1)
5\36 (166.7¢)
Superhard (L:s = 4:1)
6\43 (167.4¢)
Collapsed (L:s = 1:0)
1\7 (171.4¢)
| ↖6L 14s | ↑7L 14s | 8L 14s↗ |
| ←6L 15s | 7L 15s | 8L 15s→ |
| ↙6L 16s | ↓7L 16s | 8L 16s↘ |
┌╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┬┐ │║││║││║││║││║││║││║││││ ││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sssLssLssLssLssLssLssL
7L 22s
7L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 15 small steps, repeating every octave. 7L 15s is a grandchild scale of 7L 1s, expanding it by 14 tones. Generators that produce this scale range from 163.6¢ to 171.4¢, or from 1028.6¢ to 1036.4¢.
It is the enharmonic scale of Coendou temperament.
| Generator (edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 3\22 | 163.636 | 1036.364 | 1:1 | 1.000 | Equalized 7L 15s | |||||
| 16\117 | 164.103 | 1035.897 | 6:5 | 1.200 | ||||||
| 13\95 | 164.211 | 1035.789 | 5:4 | 1.250 | ||||||
| 23\168 | 164.286 | 1035.714 | 9:7 | 1.286 | ||||||
| 10\73 | 164.384 | 1035.616 | 4:3 | 1.333 | Supersoft 7L 15s | |||||
| 27\197 | 164.467 | 1035.533 | 11:8 | 1.375 | ||||||
| 17\124 | 164.516 | 1035.484 | 7:5 | 1.400 | ||||||
| 24\175 | 164.571 | 1035.429 | 10:7 | 1.429 | ||||||
| 7\51 | 164.706 | 1035.294 | 3:2 | 1.500 | Soft 7L 15s | |||||
| 25\182 | 164.835 | 1035.165 | 11:7 | 1.571 | ||||||
| 18\131 | 164.885 | 1035.115 | 8:5 | 1.600 | ||||||
| 29\211 | 164.929 | 1035.071 | 13:8 | 1.625 | ||||||
| 11\80 | 165.000 | 1035.000 | 5:3 | 1.667 | Semisoft 7L 15s | |||||
| 26\189 | 165.079 | 1034.921 | 12:7 | 1.714 | ||||||
| 15\109 | 165.138 | 1034.862 | 7:4 | 1.750 | ||||||
| 19\138 | 165.217 | 1034.783 | 9:5 | 1.800 | ||||||
| 4\29 | 165.517 | 1034.483 | 2:1 | 2.000 | Basic 7L 15s Scales with tunings softer than this are proper | |||||
| 17\123 | 165.854 | 1034.146 | 9:4 | 2.250 | ||||||
| 13\94 | 165.957 | 1034.043 | 7:3 | 2.333 | Coendou | |||||
| 22\159 | 166.038 | 1033.962 | 12:5 | 2.400 | ||||||
| 9\65 | 166.154 | 1033.846 | 5:2 | 2.500 | Semihard 7L 15s | |||||
| 23\166 | 166.265 | 1033.735 | 13:5 | 2.600 | ||||||
| 14\101 | 166.337 | 1033.663 | 8:3 | 2.667 | ||||||
| 19\137 | 166.423 | 1033.577 | 11:4 | 2.750 | ||||||
| 5\36 | 166.667 | 1033.333 | 3:1 | 3.000 | Hard 7L 15s | |||||
| 16\115 | 166.957 | 1033.043 | 10:3 | 3.333 | ||||||
| 11\79 | 167.089 | 1032.911 | 7:2 | 3.500 | ||||||
| 17\122 | 167.213 | 1032.787 | 11:3 | 3.667 | ||||||
| 6\43 | 167.442 | 1032.558 | 4:1 | 4.000 | Superhard 7L 15s | |||||
| 13\93 | 167.742 | 1032.258 | 9:2 | 4.500 | ||||||
| 7\50 | 168.000 | 1032.000 | 5:1 | 5.000 | ||||||
| 8\57 | 168.421 | 1031.579 | 6:1 | 6.000 | ||||||
| 1\7 | 171.429 | 1028.571 | 1:0 | → ∞ | Collapsed 7L 15s | |||||