8L 7s
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Scale structure
Step pattern
LLsLsLsLsLsLsLs
sLsLsLsLsLsLsLL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
13\15 to 7\8 (1040.0¢ to 1050.0¢)
Dark
1\8 to 2\15 (150.0¢ to 160.0¢)
TAMNAMS information
Descends from
7L 1s (pine)
Required step ratio range
1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent
7L 1s
Sister
7L 8s
Daughters
15L 8s
8L 15s
Equal tunings
Equalized (L:s = 1:1)
13\15 (1040.0¢)
Supersoft (L:s = 4:3)
46\53 (1041.5¢)
Soft (L:s = 3:2)
33\38 (1042.1¢)
Semisoft (L:s = 5:3)
53\61 (1042.6¢)
Basic (L:s = 2:1)
20\23 (1043.5¢)
Semihard (L:s = 5:2)
47\54 (1044.4¢)
Hard (L:s = 3:1)
27\31 (1045.2¢)
Superhard (L:s = 4:1)
34\39 (1046.2¢)
Collapsed (L:s = 1:0)
7\8 (1050.0¢)
| ↖7L 6s | ↑8L 6s | 9L 6s↗ |
| ←7L 7s | 8L 7s | 9L 7s→ |
| ↙7L 8s | ↓8L 8s | 9L 8s↘ |
┌╥╥┬╥┬╥┬╥┬╥┬╥┬╥┬┐ │║║│║│║│║│║│║│║││ │││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLsLsLsLsLsLsLL
8L 15s
8L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 7 small steps, repeating every octave. 8L 7s is a child scale of 7L 1s, expanding it by 7 tones. Generators that produce this scale range from 1040¢ to 1050¢, or from 150¢ to 160¢.
This scale is the chromatic scale of Opossum temperament, where the tetrad 1/1-6/5-10/7-12/7 (0¢-316¢-617¢-933¢) can be formed by by stacking the dark generator 2, 4, and 6 times above the root. 8L 7s approximates this tetrad from 0¢-300¢-600¢-900¢ to 0¢-320¢-640¢-960¢.
| Generator (edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 13\15 | 1040.000 | 160.000 | 1:1 | 1.000 | Equalized 8L 7s | |||||
| 72\83 | 1040.964 | 159.036 | 6:5 | 1.200 | ||||||
| 59\68 | 1041.176 | 158.824 | 5:4 | 1.250 | ||||||
| 105\121 | 1041.322 | 158.678 | 9:7 | 1.286 | ||||||
| 46\53 | 1041.509 | 158.491 | 4:3 | 1.333 | Supersoft 8L 7s | |||||
| 125\144 | 1041.667 | 158.333 | 11:8 | 1.375 | ||||||
| 79\91 | 1041.758 | 158.242 | 7:5 | 1.400 | ||||||
| 112\129 | 1041.860 | 158.140 | 10:7 | 1.429 | ||||||
| 33\38 | 1042.105 | 157.895 | 3:2 | 1.500 | Soft 8L 7s | |||||
| 119\137 | 1042.336 | 157.664 | 11:7 | 1.571 | ||||||
| 86\99 | 1042.424 | 157.576 | 8:5 | 1.600 | ||||||
| 139\160 | 1042.500 | 157.500 | 13:8 | 1.625 | ||||||
| 53\61 | 1042.623 | 157.377 | 5:3 | 1.667 | Semisoft 8L 7s | |||||
| 126\145 | 1042.759 | 157.241 | 12:7 | 1.714 | ||||||
| 73\84 | 1042.857 | 157.143 | 7:4 | 1.750 | ||||||
| 93\107 | 1042.991 | 157.009 | 9:5 | 1.800 | ||||||
| 20\23 | 1043.478 | 156.522 | 2:1 | 2.000 | Basic 8L 7s Scales with tunings softer than this are proper | |||||
| 87\100 | 1044.000 | 156.000 | 9:4 | 2.250 | ||||||
| 67\77 | 1044.156 | 155.844 | 7:3 | 2.333 | ||||||
| 114\131 | 1044.275 | 155.725 | 12:5 | 2.400 | ||||||
| 47\54 | 1044.444 | 155.556 | 5:2 | 2.500 | Semihard 8L 7s | |||||
| 121\139 | 1044.604 | 155.396 | 13:5 | 2.600 | ||||||
| 74\85 | 1044.706 | 155.294 | 8:3 | 2.667 | ||||||
| 101\116 | 1044.828 | 155.172 | 11:4 | 2.750 | ||||||
| 27\31 | 1045.161 | 154.839 | 3:1 | 3.000 | Hard 8L 7s | |||||
| 88\101 | 1045.545 | 154.455 | 10:3 | 3.333 | ||||||
| 61\70 | 1045.714 | 154.286 | 7:2 | 3.500 | ||||||
| 95\109 | 1045.872 | 154.128 | 11:3 | 3.667 | ||||||
| 34\39 | 1046.154 | 153.846 | 4:1 | 4.000 | Superhard 8L 7s | |||||
| 75\86 | 1046.512 | 153.488 | 9:2 | 4.500 | ||||||
| 41\47 | 1046.809 | 153.191 | 5:1 | 5.000 | ||||||
| 48\55 | 1047.273 | 152.727 | 6:1 | 6.000 | ||||||
| 7\8 | 1050.000 | 150.000 | 1:0 | → ∞ | Collapsed 8L 7s | |||||