14L 3s

Revision as of 15:55, 6 January 2023 by Fredg999 (talk | contribs) (Infobox MOS, improve lead section, categories)
↖ 13L 2s ↑ 14L 2s 15L 2s ↗
← 13L 3s 14L 3s 15L 3s →
↙ 13L 4s ↓ 14L 4s 15L 4s ↘
┌╥╥╥╥╥┬╥╥╥╥╥┬╥╥╥╥┬┐
│║║║║║│║║║║║│║║║║││
│││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLLsLLLLLsLLLLs
sLLLLsLLLLLsLLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 6\17 to 5\14 (423.5 ¢ to 428.6 ¢)
Dark 9\14 to 11\17 (771.4 ¢ to 776.5 ¢)
TAMNAMS information
Related to 3L 5s (checkertonic)
With tunings 3:1 to 4:1 (parahard)
Related MOS scales
Parent 3L 11s
Sister 3L 14s
Daughters 17L 14s, 14L 17s
Neutralized 11L 6s
2-Flought 31L 3s, 14L 20s
Equal tunings
Equalized (L:s = 1:1) 6\17 (423.5 ¢)
Supersoft (L:s = 4:3) 23\65 (424.6 ¢)
Soft (L:s = 3:2) 17\48 (425.0 ¢)
Semisoft (L:s = 5:3) 28\79 (425.3 ¢)
Basic (L:s = 2:1) 11\31 (425.8 ¢)
Semihard (L:s = 5:2) 27\76 (426.3 ¢)
Hard (L:s = 3:1) 16\45 (426.7 ¢)
Superhard (L:s = 4:1) 21\59 (427.1 ¢)
Collapsed (L:s = 1:0) 5\14 (428.6 ¢)

The 14L 13s MOS scale consists of three small steps separated by intervals of 5L-5L-4L. The temperament it belongs to is called Squares because the number of generators it takes to get to each of the primes 3, 5 and 7 is a square (3=-4 generators, 5=-16, 7=-9). This puts the generator between 6/17edo (423.529 ¢) and 5/14edo (428.571 ¢).

5/14 428.571
26/73 427.397
21/59 427.119
37/104 426.923
426.747
16/45 426.667
426.484
43/121 426.446
426.41
27/76 426.316
38/107 426.168
11/31 425.806
39/110 425.4545
425.426
28/79 425.3165
425.23
45/127 425.197
425.142
17/48 425
40/113 424.779
23/65 424.615
29/82 424.39
6/17 423.529