7L 8s
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Scale structure
Step pattern
LsLsLsLsLsLsLss
ssLsLsLsLsLsLsL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
2\15 to 1\7 (160.0¢ to 171.4¢)
Dark
6\7 to 13\15 (1028.6¢ to 1040.0¢)
TAMNAMS information
Descends from
7L 1s (pine)
Required step ratio range
2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent
7L 1s
Sister
8L 7s
Daughters
15L 7s
7L 15s
Equal tunings
Equalized (L:s = 1:1)
2\15 (160.0¢)
Supersoft (L:s = 4:3)
7\52 (161.5¢)
Soft (L:s = 3:2)
5\37 (162.2¢)
Semisoft (L:s = 5:3)
8\59 (162.7¢)
Basic (L:s = 2:1)
3\22 (163.6¢)
Semihard (L:s = 5:2)
7\51 (164.7¢)
Hard (L:s = 3:1)
4\29 (165.5¢)
Superhard (L:s = 4:1)
5\36 (166.7¢)
Collapsed (L:s = 1:0)
1\7 (171.4¢)
| ↖6L 7s | ↑7L 7s | 8L 7s↗ |
| ←6L 8s | 7L 8s | 8L 8s→ |
| ↙6L 9s | ↓7L 9s | 8L 9s↘ |
┌╥┬╥┬╥┬╥┬╥┬╥┬╥┬┬┐ │║│║│║│║│║│║│║│││ │││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLsLsLsLsLsLsL
7L 15s
7L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 8 small steps, repeating every octave. 7L 8s is a child scale of 7L 1s, expanding it by 7 tones. Generators that produce this scale range from 160¢ to 171.4¢, or from 1028.6¢ to 1040¢.
It is notable for supporting porcupine, of the porcupine family.
| Generator (edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 2\15 | 160.000 | 1040.000 | 1:1 | 1.000 | Equalized 7L 8s | |||||
| 11\82 | 160.976 | 1039.024 | 6:5 | 1.200 | ||||||
| 9\67 | 161.194 | 1038.806 | 5:4 | 1.250 | ||||||
| 16\119 | 161.345 | 1038.655 | 9:7 | 1.286 | ||||||
| 7\52 | 161.538 | 1038.462 | 4:3 | 1.333 | Supersoft 7L 8s | |||||
| 19\141 | 161.702 | 1038.298 | 11:8 | 1.375 | ||||||
| 12\89 | 161.798 | 1038.202 | 7:5 | 1.400 | ||||||
| 17\126 | 161.905 | 1038.095 | 10:7 | 1.429 | ||||||
| 5\37 | 162.162 | 1037.838 | 3:2 | 1.500 | Soft 7L 8s | |||||
| 18\133 | 162.406 | 1037.594 | 11:7 | 1.571 | ||||||
| 13\96 | 162.500 | 1037.500 | 8:5 | 1.600 | ||||||
| 21\155 | 162.581 | 1037.419 | 13:8 | 1.625 | ||||||
| 8\59 | 162.712 | 1037.288 | 5:3 | 1.667 | Semisoft 7L 8s | |||||
| 19\140 | 162.857 | 1037.143 | 12:7 | 1.714 | ||||||
| 11\81 | 162.963 | 1037.037 | 7:4 | 1.750 | ||||||
| 14\103 | 163.107 | 1036.893 | 9:5 | 1.800 | ||||||
| 3\22 | 163.636 | 1036.364 | 2:1 | 2.000 | Basic 7L 8s Scales with tunings softer than this are proper | |||||
| 13\95 | 164.211 | 1035.789 | 9:4 | 2.250 | ||||||
| 10\73 | 164.384 | 1035.616 | 7:3 | 2.333 | ||||||
| 17\124 | 164.516 | 1035.484 | 12:5 | 2.400 | ||||||
| 7\51 | 164.706 | 1035.294 | 5:2 | 2.500 | Semihard 7L 8s | |||||
| 18\131 | 164.885 | 1035.115 | 13:5 | 2.600 | ||||||
| 11\80 | 165.000 | 1035.000 | 8:3 | 2.667 | ||||||
| 15\109 | 165.138 | 1034.862 | 11:4 | 2.750 | ||||||
| 4\29 | 165.517 | 1034.483 | 3:1 | 3.000 | Hard 7L 8s | |||||
| 13\94 | 165.957 | 1034.043 | 10:3 | 3.333 | ||||||
| 9\65 | 166.154 | 1033.846 | 7:2 | 3.500 | ||||||
| 14\101 | 166.337 | 1033.663 | 11:3 | 3.667 | ||||||
| 5\36 | 166.667 | 1033.333 | 4:1 | 4.000 | Superhard 7L 8s | |||||
| 11\79 | 167.089 | 1032.911 | 9:2 | 4.500 | ||||||
| 6\43 | 167.442 | 1032.558 | 5:1 | 5.000 | ||||||
| 7\50 | 168.000 | 1032.000 | 6:1 | 6.000 | ||||||
| 1\7 | 171.429 | 1028.571 | 1:0 | → ∞ | Collapsed 7L 8s | |||||