9L 11s
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Step pattern
LsLsLsLsLssLsLsLsLss
ssLsLsLsLssLsLsLsLsL
Equave
2/1 (1200.0 ¢)
Period
2/1 (1200.0 ¢)
Bright
11\20 to 5\9 (660.0 ¢ to 666.7 ¢)
Dark
4\9 to 9\20 (533.3 ¢ to 540.0 ¢)
Descends from
2L 7s (balzano)
Ancestor's step ratio range
1:1 to 3:2 (soft)
Parent
9L 2s
Sister
11L 9s
Daughters
20L 9s, 9L 20s
Neutralized
18L 2s
2-Flought
29L 11s, 9L 31s
Equalized (L:s = 1:1)
11\20 (660.0 ¢)
Supersoft (L:s = 4:3)
38\69 (660.9 ¢)
Soft (L:s = 3:2)
27\49 (661.2 ¢)
Semisoft (L:s = 5:3)
43\78 (661.5 ¢)
Basic (L:s = 2:1)
16\29 (662.1 ¢)
Semihard (L:s = 5:2)
37\67 (662.7 ¢)
Hard (L:s = 3:1)
21\38 (663.2 ¢)
Superhard (L:s = 4:1)
26\47 (663.8 ¢)
Collapsed (L:s = 1:0)
5\9 (666.7 ¢)
| ↖ 8L 10s | ↑ 9L 10s | 10L 10s ↗ |
| ← 8L 11s | 9L 11s | 10L 11s → |
| ↙ 8L 12s | ↓ 9L 12s | 10L 12s ↘ |
┌╥┬╥┬╥┬╥┬╥┬┬╥┬╥┬╥┬╥┬┬┐ │║│║│║│║│║││║│║│║│║│││ ││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
ssLsLsLsLssLsLsLsLsL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
9L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 11 small steps, repeating every octave. 9L 11s is a grandchild scale of 2L 7s, expanding it by 11 tones. Generators that produce this scale range from 660 ¢ to 666.7 ¢, or from 533.3 ¢ to 540 ¢.
Scale properties
- This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for diatonic interval categories.
{{subst:MOS data temporary}}
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 11\20 | 660.000 | 540.000 | 1:1 | 1.000 | Equalized 9L 11s | |||||
| 60\109 | 660.550 | 539.450 | 6:5 | 1.200 | ||||||
| 49\89 | 660.674 | 539.326 | 5:4 | 1.250 | ||||||
| 87\158 | 660.759 | 539.241 | 9:7 | 1.286 | ||||||
| 38\69 | 660.870 | 539.130 | 4:3 | 1.333 | Supersoft 9L 11s | |||||
| 103\187 | 660.963 | 539.037 | 11:8 | 1.375 | ||||||
| 65\118 | 661.017 | 538.983 | 7:5 | 1.400 | ||||||
| 92\167 | 661.078 | 538.922 | 10:7 | 1.429 | ||||||
| 27\49 | 661.224 | 538.776 | 3:2 | 1.500 | Soft 9L 11s | |||||
| 97\176 | 661.364 | 538.636 | 11:7 | 1.571 | ||||||
| 70\127 | 661.417 | 538.583 | 8:5 | 1.600 | ||||||
| 113\205 | 661.463 | 538.537 | 13:8 | 1.625 | ||||||
| 43\78 | 661.538 | 538.462 | 5:3 | 1.667 | Semisoft 9L 11s | |||||
| 102\185 | 661.622 | 538.378 | 12:7 | 1.714 | ||||||
| 59\107 | 661.682 | 538.318 | 7:4 | 1.750 | ||||||
| 75\136 | 661.765 | 538.235 | 9:5 | 1.800 | ||||||
| 16\29 | 662.069 | 537.931 | 2:1 | 2.000 | Basic 9L 11s Scales with tunings softer than this are proper | |||||
| 69\125 | 662.400 | 537.600 | 9:4 | 2.250 | ||||||
| 53\96 | 662.500 | 537.500 | 7:3 | 2.333 | ||||||
| 90\163 | 662.577 | 537.423 | 12:5 | 2.400 | ||||||
| 37\67 | 662.687 | 537.313 | 5:2 | 2.500 | Semihard 9L 11s | |||||
| 95\172 | 662.791 | 537.209 | 13:5 | 2.600 | ||||||
| 58\105 | 662.857 | 537.143 | 8:3 | 2.667 | ||||||
| 79\143 | 662.937 | 537.063 | 11:4 | 2.750 | ||||||
| 21\38 | 663.158 | 536.842 | 3:1 | 3.000 | Hard 9L 11s | |||||
| 68\123 | 663.415 | 536.585 | 10:3 | 3.333 | ||||||
| 47\85 | 663.529 | 536.471 | 7:2 | 3.500 | ||||||
| 73\132 | 663.636 | 536.364 | 11:3 | 3.667 | ||||||
| 26\47 | 663.830 | 536.170 | 4:1 | 4.000 | Superhard 9L 11s | |||||
| 57\103 | 664.078 | 535.922 | 9:2 | 4.500 | ||||||
| 31\56 | 664.286 | 535.714 | 5:1 | 5.000 | ||||||
| 36\65 | 664.615 | 535.385 | 6:1 | 6.000 | ||||||
| 5\9 | 666.667 | 533.333 | 1:0 | → ∞ | Collapsed 9L 11s | |||||
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