6L 16s: Difference between revisions

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This is the MOS where the pattern 3L 8s repeats at the half octave. However, it has a small major third as a generator instead of the medium to large major third which generates 3L 8s. With the half-octave equivalence, the third inverts to a 'diatonic' whole tone of no more than 4/22edo (218.182 cents).
{{Infobox MOS}}
{{MOS intro}}
It has a small major third as a generator instead of the medium to large major third which generates 3L 8s. With the half-octave equivalence, the third inverts to a 'diatonic' whole tone of no more than 4/22edo (218.182 cents).


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Revision as of 05:26, 22 February 2024

↖ 5L 15s ↑ 6L 15s 7L 15s ↗
← 5L 16s 6L 16s 7L 16s →
↙ 5L 17s ↓ 6L 17s 7L 17s ↘
Scale structure
Step pattern LssLsssLsssLssLsssLsss
sssLsssLssLsssLsssLssL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 7\22 to 2\6 (381.8 ¢ to 400.0 ¢)
Dark 1\6 to 4\22 (200.0 ¢ to 218.2 ¢)
TAMNAMS information
Related to 6L 4s (lemon)
With tunings 3:1 to 1:0 (hard)
Related MOS scales
Parent 6L 10s
Sister 16L 6s
Daughters 22L 6s, 6L 22s
Neutralized 12L 10s
2-Flought 28L 16s, 6L 38s
Equal tunings
Equalized (L:s = 1:1) 7\22 (381.8 ¢)
Supersoft (L:s = 4:3) 23\72 (383.3 ¢)
Soft (L:s = 3:2) 16\50 (384.0 ¢)
Semisoft (L:s = 5:3) 25\78 (384.6 ¢)
Basic (L:s = 2:1) 9\28 (385.7 ¢)
Semihard (L:s = 5:2) 20\62 (387.1 ¢)
Hard (L:s = 3:1) 11\34 (388.2 ¢)
Superhard (L:s = 4:1) 13\40 (390.0 ¢)
Collapsed (L:s = 1:0) 2\6 (400.0 ¢)
ViewTalkEdit

6L 16s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 16 small steps, with a period of 3 large steps and 8 small steps that repeats every 600.0 ¢, or twice every octave. 6L 16s is a grandchild scale of 6L 4s, expanding it by 12 tones. Generators that produce this scale range from 381.8 ¢ to 400 ¢, or from 200 ¢ to 218.2 ¢. It has a small major third as a generator instead of the medium to large major third which generates 3L 8s. With the half-octave equivalence, the third inverts to a 'diatonic' whole tone of no more than 4/22edo (218.182 cents).

4/22 218.182
17/94 217.021
13/72 216.667
22/122 216.393
9/50 216
215.733
23/128 215.625
215.559
14/78 215.385
215.156
19/106 215.094
5/28 214.286
16/90 213.333
11/62 212.903
212.615
17/96 212.5
212.38
6/34 211.765
211.478
13/74 210.811
7/40 210
8/46 208.696
1/6 200