5L 11s
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Scale structure
Step pattern
LssLssLssLssLsss
sssLssLssLssLssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
3\16 to 1\5 (225.0¢ to 240.0¢)
Dark
4\5 to 13\16 (960.0¢ to 975.0¢)
TAMNAMS information
Descends from
5L 1s (machinoid)
Required step ratio range
3:1 to 1:0 (hard)
Related MOS scales
Parent
5L 6s
Sister
11L 5s
Daughters
16L 5s
5L 16s
Equal tunings
Equalized (L:s = 1:1)
3\16 (225.0¢)
Supersoft (L:s = 4:3)
10\53 (226.4¢)
Soft (L:s = 3:2)
7\37 (227.0¢)
Semisoft (L:s = 5:3)
11\58 (227.6¢)
Basic (L:s = 2:1)
4\21 (228.6¢)
Semihard (L:s = 5:2)
9\47 (229.8¢)
Hard (L:s = 3:1)
5\26 (230.8¢)
Superhard (L:s = 4:1)
6\31 (232.3¢)
Collapsed (L:s = 1:0)
1\5 (240.0¢)
| ↖4L 10s | ↑5L 10s | 6L 10s↗ |
| ←4L 11s | 5L 11s | 6L 11s→ |
| ↙4L 12s | ↓5L 12s | 6L 12s↘ |
┌╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┬┐ │║││║││║││║││║││││ ││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sssLssLssLssLssL
5L 16s
5L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 11 small steps, repeating every octave. 5L 11s is a grandchild scale of 5L 1s, expanding it by 10 tones. Generators that produce this scale range from 225¢ to 240¢, or from 960¢ to 975¢.
This MOS has a large "diatonic" whole tone of 3/16edo (225) to 1/5edo (240 cents) as a generator. Converging to 5edo as it becomes ever more improper, it moves from Gorgo into Slendric (the 2.3.7 temperament which tempers out the gamelisma of 1029/1024).
| Generator(edo) | Cents | Step Ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 3\16 | 225.000 | 975.000 | 1:1 | 1.000 | Equalized 5L 11s | |||||
| 16\85 | 225.882 | 974.118 | 6:5 | 1.200 | ||||||
| 13\69 | 226.087 | 973.913 | 5:4 | 1.250 | ||||||
| 23\122 | 226.230 | 973.770 | 9:7 | 1.286 | ||||||
| 10\53 | 226.415 | 973.585 | 4:3 | 1.333 | Supersoft 5L 11s | |||||
| 27\143 | 226.573 | 973.427 | 11:8 | 1.375 | ||||||
| 17\90 | 226.667 | 973.333 | 7:5 | 1.400 | ||||||
| 24\127 | 226.772 | 973.228 | 10:7 | 1.429 | ||||||
| 7\37 | 227.027 | 972.973 | 3:2 | 1.500 | Soft 5L 11s | |||||
| 25\132 | 227.273 | 972.727 | 11:7 | 1.571 | ||||||
| 18\95 | 227.368 | 972.632 | 8:5 | 1.600 | ||||||
| 29\153 | 227.451 | 972.549 | 13:8 | 1.625 | ||||||
| 11\58 | 227.586 | 972.414 | 5:3 | 1.667 | Semisoft 5L 11s | |||||
| 26\137 | 227.737 | 972.263 | 12:7 | 1.714 | ||||||
| 15\79 | 227.848 | 972.152 | 7:4 | 1.750 | ||||||
| 19\100 | 228.000 | 972.000 | 9:5 | 1.800 | ||||||
| 4\21 | 228.571 | 971.429 | 2:1 | 2.000 | Basic 5L 11s Scales with tunings softer than this are proper | |||||
| 17\89 | 229.213 | 970.787 | 9:4 | 2.250 | ||||||
| 13\68 | 229.412 | 970.588 | 7:3 | 2.333 | ||||||
| 22\115 | 229.565 | 970.435 | 12:5 | 2.400 | ||||||
| 9\47 | 229.787 | 970.213 | 5:2 | 2.500 | Semihard 5L 11s | |||||
| 23\120 | 230.000 | 970.000 | 13:5 | 2.600 | ||||||
| 14\73 | 230.137 | 969.863 | 8:3 | 2.667 | ||||||
| 19\99 | 230.303 | 969.697 | 11:4 | 2.750 | ||||||
| 5\26 | 230.769 | 969.231 | 3:1 | 3.000 | Hard 5L 11s | |||||
| 16\83 | 231.325 | 968.675 | 10:3 | 3.333 | ||||||
| 11\57 | 231.579 | 968.421 | 7:2 | 3.500 | ||||||
| 17\88 | 231.818 | 968.182 | 11:3 | 3.667 | ||||||
| 6\31 | 232.258 | 967.742 | 4:1 | 4.000 | Superhard 5L 11s | |||||
| 13\67 | 232.836 | 967.164 | 9:2 | 4.500 | ||||||
| 7\36 | 233.333 | 966.667 | 5:1 | 5.000 | ||||||
| 8\41 | 234.146 | 965.854 | 6:1 | 6.000 | ||||||
| 1\5 | 240.000 | 960.000 | 1:0 | → ∞ | Collapsed 5L 11s | |||||