18L 5s

Revision as of 07:26, 1 March 2024 by Ganaram inukshuk (talk | contribs) (Replaced no-entries scale tree; stub)
↖ 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

Scale tree

Template:Scale tree

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