11L 5s
Jump to navigation
Jump to search
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 (machinoid)
Related MOS scales
Parent
5L 6s
Sister
5L 11s
Daughters
16L 11s
11L 16s
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 16s
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 | Rotational 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 |
Scale tree
| Generator (in steps of 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 | |||||