18L 5s

Revision as of 06:09, 30 January 2024 by BudjarnLambeth (talk | contribs) ({{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum ==)
↖ 17L 4s ↑ 18L 4s 19L 4s ↗
← 17L 5s 18L 5s 19L 5s →
↙ 17L 6s ↓ 18L 6s 19L 6s ↘
┌╥╥╥╥┬╥╥╥╥┬╥╥╥┬╥╥╥╥┬╥╥╥┬┐
│║║║║│║║║║│║║║│║║║║│║║║││
│││││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLsLLLLsLLLsLLLLsLLLs
sLLLsLLLLsLLLsLLLLsLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 14\23 to 11\18 (730.4 ¢ to 733.3 ¢)
Dark 7\18 to 9\23 (466.7 ¢ to 469.6 ¢)
TAMNAMS information
Related to 5L 3s (oneirotonic)
With tunings 3:1 to 4:1 (parahard)
Related MOS scales
Parent 5L 13s
Sister 5L 18s
Daughters 23L 18s, 18L 23s
Neutralized 13L 10s
2-Flought 41L 5s, 18L 28s
Equal tunings
Equalized (L:s = 1:1) 14\23 (730.4 ¢)
Supersoft (L:s = 4:3) 53\87 (731.0 ¢)
Soft (L:s = 3:2) 39\64 (731.2 ¢)
Semisoft (L:s = 5:3) 64\105 (731.4 ¢)
Basic (L:s = 2:1) 25\41 (731.7 ¢)
Semihard (L:s = 5:2) 61\100 (732.0 ¢)
Hard (L:s = 3:1) 36\59 (732.2 ¢)
Superhard (L:s = 4:1) 47\77 (732.5 ¢)
Collapsed (L:s = 1:0) 11\18 (733.3 ¢)

18L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 18 large steps and 5 small steps, repeating every octave. 18L 5s is a great-grandchild scale of 5L 3s, expanding it by 15 tones. Generators that produce this scale range from 730.4 ¢ to 733.3 ¢, or from 466.7 ¢ to 469.6 ¢.

Modes

Modes of 18L 5s
UDP Cyclic
order
Step
pattern
22|0 1 LLLLsLLLLsLLLsLLLLsLLLs
21|1 15 LLLLsLLLsLLLLsLLLLsLLLs
20|2 6 LLLLsLLLsLLLLsLLLsLLLLs
19|3 20 LLLsLLLLsLLLLsLLLsLLLLs
18|4 11 LLLsLLLLsLLLsLLLLsLLLLs
17|5 2 LLLsLLLLsLLLsLLLLsLLLsL
16|6 16 LLLsLLLsLLLLsLLLLsLLLsL
15|7 7 LLLsLLLsLLLLsLLLsLLLLsL
14|8 21 LLsLLLLsLLLLsLLLsLLLLsL
13|9 12 LLsLLLLsLLLsLLLLsLLLLsL
12|10 3 LLsLLLLsLLLsLLLLsLLLsLL
11|11 17 LLsLLLsLLLLsLLLLsLLLsLL
10|12 8 LLsLLLsLLLLsLLLsLLLLsLL
9|13 22 LsLLLLsLLLLsLLLsLLLLsLL
8|14 13 LsLLLLsLLLsLLLLsLLLLsLL
7|15 4 LsLLLLsLLLsLLLLsLLLsLLL
6|16 18 LsLLLsLLLLsLLLLsLLLsLLL
5|17 9 LsLLLsLLLLsLLLsLLLLsLLL
4|18 23 sLLLLsLLLLsLLLsLLLLsLLL
3|19 14 sLLLLsLLLsLLLLsLLLLsLLL
2|20 5 sLLLLsLLLsLLLLsLLLsLLLL
1|21 19 sLLLsLLLLsLLLLsLLLsLLLL
0|22 10 sLLLsLLLLsLLLsLLLLsLLLL

Tuning spectrum

generator L s L/s gen (cents) comment
7\18 1 0 466.667
65\167 9 1 9.000 467.066
58\149 8 1 8.000 467.114
51\131 7 1 7.000 467.176
44\113 6 1 6.000 467.257
37\95 5 1 5.000 467.368
67\172 9 2 4.500 467.442
30\77 4 1 4.000 467.532
53\136 7 2 3.500 467.647
76\195 10 3 3.333 467.692
23\59 3 1 3.000 467.797
62\159 8 3 2.667 467.925
39\100 5 2 2.500 468.000
55\141 7 3 2.333 468.085
71\182 9 4 2.250 468.132
16\41 2 1 2.000 468.293
73\187 9 5 1.800 468.449
57\146 7 4 1.750 468.493
41\105 5 3 1.667 468.571
66\169 8 5 1.600 468.639
25\64 3 2 1.500 468.750
59\151 7 5 1.400 468.874
34\87 4 3 1.333 468.966
77\197 9 7 1.286 469.036
43\110 5 4 1.250 469.091
52\133 6 5 1.200 469.173
61\156 7 6 1.167 469.231
70\179 8 7 1.143 469.274
79\202 9 8 1.125 469.307
9\23 1 1 1.000 469.565