11L 5s
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Scale structure
Step pattern
LLLsLLsLLsLLsLLs
sLLsLLsLLsLLsLLL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
13\16 to 9\11 (975.0¢ to 981.8¢)
Dark
2\11 to 3\16 (218.2¢ to 225.0¢)
TAMNAMS information
Descends from
5L 1s
Ancestor's step ratio range
2:1 to 3:1 (hypohard)
Related MOS scales
Parent
5L 6s
Sister
5L 11s
Daughters
16L 11s, 11L 16s
Neutralized
6L 10s
2-Flought
27L 5s, 11L 21s
Equal tunings
Equalized (L:s = 1:1)
13\16 (975.0¢)
Supersoft (L:s = 4:3)
48\59 (976.3¢)
Soft (L:s = 3:2)
35\43 (976.7¢)
Semisoft (L:s = 5:3)
57\70 (977.1¢)
Basic (L:s = 2:1)
22\27 (977.8¢)
Semihard (L:s = 5:2)
53\65 (978.5¢)
Hard (L:s = 3:1)
31\38 (978.9¢)
Superhard (L:s = 4:1)
40\49 (979.6¢)
Collapsed (L:s = 1:0)
9\11 (981.8¢)
| ↖ 10L 4s | ↑ 11L 4s | 12L 4s ↗ |
| ← 10L 5s | 11L 5s | 12L 5s → |
| ↙ 10L 6s | ↓ 11L 6s | 12L 6s ↘ |
┌╥╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬┐ │║║║│║║│║║│║║│║║││ ││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLsLLsLLsLLsLLL
11L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 5 small steps, repeating every octave. 11L 5s is a grandchild scale of 5L 1s, expanding it by 10 tones. Generators that produce this scale range from 975¢ to 981.8¢, or from 218.2¢ to 225¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 15|0 | 1 | LLLsLLsLLsLLsLLs |
| 14|1 | 14 | LLsLLLsLLsLLsLLs |
| 13|2 | 11 | LLsLLsLLLsLLsLLs |
| 12|3 | 8 | LLsLLsLLsLLLsLLs |
| 11|4 | 5 | LLsLLsLLsLLsLLLs |
| 10|5 | 2 | LLsLLsLLsLLsLLsL |
| 9|6 | 15 | LsLLLsLLsLLsLLsL |
| 8|7 | 12 | LsLLsLLLsLLsLLsL |
| 7|8 | 9 | LsLLsLLsLLLsLLsL |
| 6|9 | 6 | LsLLsLLsLLsLLLsL |
| 5|10 | 3 | LsLLsLLsLLsLLsLL |
| 4|11 | 16 | sLLLsLLsLLsLLsLL |
| 3|12 | 13 | sLLsLLLsLLsLLsLL |
| 2|13 | 10 | sLLsLLsLLLsLLsLL |
| 1|14 | 7 | sLLsLLsLLsLLLsLL |
| 0|15 | 4 | sLLsLLsLLsLLsLLL |
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-mosstep | Perfect 0-mosstep | P0ms | 0 | 0.0¢ |
| 1-mosstep | Minor 1-mosstep | m1ms | s | 0.0¢ to 75.0¢ |
| Major 1-mosstep | M1ms | L | 75.0¢ to 109.1¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | L + s | 109.1¢ to 150.0¢ |
| Major 2-mosstep | M2ms | 2L | 150.0¢ to 218.2¢ | |
| 3-mosstep | Perfect 3-mosstep | P3ms | 2L + s | 218.2¢ to 225.0¢ |
| Augmented 3-mosstep | A3ms | 3L | 225.0¢ to 327.3¢ | |
| 4-mosstep | Minor 4-mosstep | m4ms | 2L + 2s | 218.2¢ to 300.0¢ |
| Major 4-mosstep | M4ms | 3L + s | 300.0¢ to 327.3¢ | |
| 5-mosstep | Minor 5-mosstep | m5ms | 3L + 2s | 327.3¢ to 375.0¢ |
| Major 5-mosstep | M5ms | 4L + s | 375.0¢ to 436.4¢ | |
| 6-mosstep | Minor 6-mosstep | m6ms | 4L + 2s | 436.4¢ to 450.0¢ |
| Major 6-mosstep | M6ms | 5L + s | 450.0¢ to 545.5¢ | |
| 7-mosstep | Minor 7-mosstep | m7ms | 4L + 3s | 436.4¢ to 525.0¢ |
| Major 7-mosstep | M7ms | 5L + 2s | 525.0¢ to 545.5¢ | |
| 8-mosstep | Minor 8-mosstep | m8ms | 5L + 3s | 545.5¢ to 600.0¢ |
| Major 8-mosstep | M8ms | 6L + 2s | 600.0¢ to 654.5¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | 6L + 3s | 654.5¢ to 675.0¢ |
| Major 9-mosstep | M9ms | 7L + 2s | 675.0¢ to 763.6¢ | |
| 10-mosstep | Minor 10-mosstep | m10ms | 6L + 4s | 654.5¢ to 750.0¢ |
| Major 10-mosstep | M10ms | 7L + 3s | 750.0¢ to 763.6¢ | |
| 11-mosstep | Minor 11-mosstep | m11ms | 7L + 4s | 763.6¢ to 825.0¢ |
| Major 11-mosstep | M11ms | 8L + 3s | 825.0¢ to 872.7¢ | |
| 12-mosstep | Minor 12-mosstep | m12ms | 8L + 4s | 872.7¢ to 900.0¢ |
| Major 12-mosstep | M12ms | 9L + 3s | 900.0¢ to 981.8¢ | |
| 13-mosstep | Diminished 13-mosstep | d13ms | 8L + 5s | 872.7¢ to 975.0¢ |
| Perfect 13-mosstep | P13ms | 9L + 4s | 975.0¢ to 981.8¢ | |
| 14-mosstep | Minor 14-mosstep | m14ms | 9L + 5s | 981.8¢ to 1050.0¢ |
| Major 14-mosstep | M14ms | 10L + 4s | 1050.0¢ to 1090.9¢ | |
| 15-mosstep | Minor 15-mosstep | m15ms | 10L + 5s | 1090.9¢ to 1125.0¢ |
| Major 15-mosstep | M15ms | 11L + 4s | 1125.0¢ to 1200.0¢ | |
| 16-mosstep | Perfect 16-mosstep | P16ms | 11L + 5s | 1200.0¢ |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 13\16 | 975.000 | 225.000 | 1:1 | 1.000 | Equalized 11L 5s | |||||
| 74\91 | 975.824 | 224.176 | 6:5 | 1.200 | ||||||
| 61\75 | 976.000 | 224.000 | 5:4 | 1.250 | ||||||
| 109\134 | 976.119 | 223.881 | 9:7 | 1.286 | ||||||
| 48\59 | 976.271 | 223.729 | 4:3 | 1.333 | Supersoft 11L 5s | |||||
| 131\161 | 976.398 | 223.602 | 11:8 | 1.375 | ||||||
| 83\102 | 976.471 | 223.529 | 7:5 | 1.400 | ||||||
| 118\145 | 976.552 | 223.448 | 10:7 | 1.429 | ||||||
| 35\43 | 976.744 | 223.256 | 3:2 | 1.500 | Soft 11L 5s Kumonga | |||||
| 127\156 | 976.923 | 223.077 | 11:7 | 1.571 | ||||||
| 92\113 | 976.991 | 223.009 | 8:5 | 1.600 | ||||||
| 149\183 | 977.049 | 222.951 | 13:8 | 1.625 | ||||||
| 57\70 | 977.143 | 222.857 | 5:3 | 1.667 | Semisoft 11L 5s | |||||
| 136\167 | 977.246 | 222.754 | 12:7 | 1.714 | ||||||
| 79\97 | 977.320 | 222.680 | 7:4 | 1.750 | ||||||
| 101\124 | 977.419 | 222.581 | 9:5 | 1.800 | ||||||
| 22\27 | 977.778 | 222.222 | 2:1 | 2.000 | Basic 11L 5s Scales with tunings softer than this are proper | |||||
| 97\119 | 978.151 | 221.849 | 9:4 | 2.250 | ||||||
| 75\92 | 978.261 | 221.739 | 7:3 | 2.333 | ||||||
| 128\157 | 978.344 | 221.656 | 12:5 | 2.400 | ||||||
| 53\65 | 978.462 | 221.538 | 5:2 | 2.500 | Semihard 11L 5s Fortune | |||||
| 137\168 | 978.571 | 221.429 | 13:5 | 2.600 | ||||||
| 84\103 | 978.641 | 221.359 | 8:3 | 2.667 | ||||||
| 115\141 | 978.723 | 221.277 | 11:4 | 2.750 | ||||||
| 31\38 | 978.947 | 221.053 | 3:1 | 3.000 | Hard 11L 5s | |||||
| 102\125 | 979.200 | 220.800 | 10:3 | 3.333 | ||||||
| 71\87 | 979.310 | 220.690 | 7:2 | 3.500 | ||||||
| 111\136 | 979.412 | 220.588 | 11:3 | 3.667 | ||||||
| 40\49 | 979.592 | 220.408 | 4:1 | 4.000 | Superhard 11L 5s | |||||
| 89\109 | 979.817 | 220.183 | 9:2 | 4.500 | ||||||
| 49\60 | 980.000 | 220.000 | 5:1 | 5.000 | ||||||
| 58\71 | 980.282 | 219.718 | 6:1 | 6.000 | ||||||
| 9\11 | 981.818 | 218.182 | 1:0 | → ∞ | Collapsed 11L 5s | |||||
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