15L 1s
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Scale structure
Step pattern
LLLLLLLLLLLLLLLs
sLLLLLLLLLLLLLLL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
1\16 to 1\15 (75.0¢ to 80.0¢)
Dark
14\15 to 15\16 (1120.0¢ to 1125.0¢)
TAMNAMS information
Descends from
1L 9s (antisinatonic)
Required step ratio range
6:1 to 7:1
Related MOS scales
Parent
1L 14s
Sister
1L 15s
Daughters
16L 15s
15L 16s
Equal tunings
Equalized (L:s = 1:1)
1\16 (75.0¢)
Supersoft (L:s = 4:3)
4\63 (76.2¢)
Soft (L:s = 3:2)
3\47 (76.6¢)
Semisoft (L:s = 5:3)
5\78 (76.9¢)
Basic (L:s = 2:1)
2\31 (77.4¢)
Semihard (L:s = 5:2)
5\77 (77.9¢)
Hard (L:s = 3:1)
3\46 (78.3¢)
Superhard (L:s = 4:1)
4\61 (78.7¢)
Collapsed (L:s = 1:0)
1\15 (80.0¢)
| ←14L 1s | 15L 1s | 16L 1s→ |
| ↙14L 2s | ↓15L 2s | 16L 2s↘ |
┌╥╥╥╥╥╥╥╥╥╥╥╥╥╥╥┬┐ │║║║║║║║║║║║║║║║││ ││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLLLLLLLLLLLLLL
15L 16s
15L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 15 large steps and 1 small step, repeating every octave. 15L 1s is related to 1L 9s, expanding it by 6 tones. Generators that produce this scale range from 75¢ to 80¢, or from 1120¢ to 1125¢. Scales of this form are always proper because there is only one small step.
It is notable for corresponding to valentine[16].
Scale tree
| Generator(edo) | Cents | Step Ratio | Comments(always proper) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 1\16 | 75.000 | 1125.000 | 1:1 | 1.000 | Equalized 15L 1s | |||||
| 6\95 | 75.789 | 1124.211 | 6:5 | 1.200 | ||||||
| 5\79 | 75.949 | 1124.051 | 5:4 | 1.250 | ||||||
| 9\142 | 76.056 | 1123.944 | 9:7 | 1.286 | ||||||
| 4\63 | 76.190 | 1123.810 | 4:3 | 1.333 | Supersoft 15L 1s | |||||
| 11\173 | 76.301 | 1123.699 | 11:8 | 1.375 | ||||||
| 7\110 | 76.364 | 1123.636 | 7:5 | 1.400 | ||||||
| 10\157 | 76.433 | 1123.567 | 10:7 | 1.429 | ||||||
| 3\47 | 76.596 | 1123.404 | 3:2 | 1.500 | Soft 15L 1s | |||||
| 11\172 | 76.744 | 1123.256 | 11:7 | 1.571 | ||||||
| 8\125 | 76.800 | 1123.200 | 8:5 | 1.600 | ||||||
| 13\203 | 76.847 | 1123.153 | 13:8 | 1.625 | ||||||
| 5\78 | 76.923 | 1123.077 | 5:3 | 1.667 | Semisoft 15L 1s | |||||
| 12\187 | 77.005 | 1122.995 | 12:7 | 1.714 | ||||||
| 7\109 | 77.064 | 1122.936 | 7:4 | 1.750 | ||||||
| 9\140 | 77.143 | 1122.857 | 9:5 | 1.800 | Tertia / Tertiaseptal | |||||
| 2\31 | 77.419 | 1122.581 | 2:1 | 2.000 | Basic 15L 1s | |||||
| 9\139 | 77.698 | 1122.302 | 9:4 | 2.250 | ||||||
| 7\108 | 77.778 | 1122.222 | 7:3 | 2.333 | ||||||
| 12\185 | 77.838 | 1122.162 | 12:5 | 2.400 | ||||||
| 5\77 | 77.922 | 1122.078 | 5:2 | 2.500 | Semihard 15L 1s | |||||
| 13\200 | 78.000 | 1122.000 | 13:5 | 2.600 | ||||||
| 8\123 | 78.049 | 1121.951 | 8:3 | 2.667 | Valentine | |||||
| 11\169 | 78.107 | 1121.893 | 11:4 | 2.750 | ||||||
| 3\46 | 78.261 | 1121.739 | 3:1 | 3.000 | Hard 15L 1s | |||||
| 10\153 | 78.431 | 1121.569 | 10:3 | 3.333 | ||||||
| 7\107 | 78.505 | 1121.495 | 7:2 | 3.500 | ||||||
| 11\168 | 78.571 | 1121.429 | 11:3 | 3.667 | ||||||
| 4\61 | 78.689 | 1121.311 | 4:1 | 4.000 | Superhard 15L 1s | |||||
| 9\137 | 78.832 | 1121.168 | 9:2 | 4.500 | ||||||
| 5\76 | 78.947 | 1121.053 | 5:1 | 5.000 | ||||||
| 6\91 | 79.121 | 1120.879 | 6:1 | 6.000 | ||||||
| 1\15 | 80.000 | 1120.000 | 1:0 | → ∞ | Collapsed 15L 1s | |||||