11L 5s

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↖ 10L 4s ↑11L 4s 12L 4s ↗
← 10L 5s11L 5s 12L 5s →
↙ 10L 6s ↓11L 6s 12L 6s ↘
┌╥╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬┐
│║║║│║║│║║│║║│║║││
││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
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)
Required 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¢)

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

Modes of 11L 5s
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

Scale Tree and Tuning Spectrum of 11L 5s
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