9L 6s

Revision as of 05:25, 22 February 2024 by Ganaram inukshuk (talk | contribs) (Mos intro, infobox mos)

9L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 6 small steps, with a period of 3 large steps and 2 small steps that repeats every 400.0 ¢, or 3 times every octave. 9L 6s is a child scale of 6L 3s, expanding it by 6 tones. Generators that produce this scale range from 240 ¢ to 266.7 ¢, or from 133.3 ¢ to 160 ¢. Its generator is a chromatic 'whole tone' between 1/9edo (133.333) and 2/15edo (160 cents). Therefore, the period minus one generator represents a 23+-limit interval between 23/20 and 7/6.

↖ 8L 5s ↑ 9L 5s 10L 5s ↗
← 8L 6s 9L 6s 10L 6s →
↙ 8L 7s ↓ 9L 7s 10L 7s ↘
Scale structure
Step pattern LLsLsLLsLsLLsLs
sLsLLsLsLLsLsLL
Equave 2/1 (1200.0 ¢)
Period 1\3 (400.0 ¢)
Generator size
Bright 3\15 to 2\9 (240.0 ¢ to 266.7 ¢)
Dark 1\9 to 2\15 (133.3 ¢ to 160.0 ¢)
TAMNAMS information
Related to 6L 3s (hyrulic)
With tunings 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 6L 3s
Sister 6L 9s
Daughters 15L 9s, 9L 15s
Neutralized 3L 12s
2-Flought 24L 6s, 9L 21s
Equal tunings
Equalized (L:s = 1:1) 3\15 (240.0 ¢)
Supersoft (L:s = 4:3) 11\54 (244.4 ¢)
Soft (L:s = 3:2) 8\39 (246.2 ¢)
Semisoft (L:s = 5:3) 13\63 (247.6 ¢)
Basic (L:s = 2:1) 5\24 (250.0 ¢)
Semihard (L:s = 5:2) 12\57 (252.6 ¢)
Hard (L:s = 3:1) 7\33 (254.5 ¢)
Superhard (L:s = 4:1) 9\42 (257.1 ¢)
Collapsed (L:s = 1:0) 2\9 (266.7 ¢)
ViewTalkEdit
1/9 133.333
9/78 138.4615
8/69 139.13
7/60 140
6/51 141.1765
5/42 142.857
14/117 143.59
9/75 144
145.004
4/33 145.4545
146.463
11/90 146.667
146.864
7/57 147.368
10/81 148.148
13/105 148.571
16/129 148.837
19/153 149.02
3/24 150
11/87 151.724
151.862
8/63 152.381
152.786
13/102 152.941
153.197
5/39 153.769
12/93 154.839
7/54 154.444
9/69 156.522
11/84 157.143
13/99 157.576
15/114 157.895
2/15 160