1L 14s

Revision as of 05:37, 22 February 2024 by Ganaram inukshuk (talk | contribs) (Mos intro)
↑ 1L 13s 2L 13s ↗
1L 14s 2L 14s →
↓ 1L 15s 2L 15s ↘
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Scale structure
Step pattern Lssssssssssssss
ssssssssssssssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 14\15 to 1\1 (1120.0 ¢ to 1200.0 ¢)
Dark 0\1 to 1\15 (0.0 ¢ to 80.0 ¢)
TAMNAMS information
Related to 1L 9s (antisinatonic)
With tunings 6:1 to 1:0
Related MOS scales
Parent 1L 13s
Sister 14L 1s
Daughters 15L 1s, 1L 15s
Neutralized 2L 13s
2-Flought 16L 14s, 1L 29s
Equal tunings
Equalized (L:s = 1:1) 14\15 (1120.0 ¢)
Supersoft (L:s = 4:3) 43\46 (1121.7 ¢)
Soft (L:s = 3:2) 29\31 (1122.6 ¢)
Semisoft (L:s = 5:3) 44\47 (1123.4 ¢)
Basic (L:s = 2:1) 15\16 (1125.0 ¢)
Semihard (L:s = 5:2) 31\33 (1127.3 ¢)
Hard (L:s = 3:1) 16\17 (1129.4 ¢)
Superhard (L:s = 4:1) 17\18 (1133.3 ¢)
Collapsed (L:s = 1:0) 1\1 (1200.0 ¢)

1L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 14 small steps, repeating every octave. 1L 14s is related to 1L 9s, expanding it by 5 tones. Generators that produce this scale range from 1120 ¢ to 1200 ¢, or from 0 ¢ to 80 ¢. The largest generator of this MOS is the chromatic semitone 2/15edo (80 cents). The simplest map for 3/2 is Valentine, where it equals +9 generators.

1/15 80
6/91 79.121
5/76 78.947
4/61 78.6885
3/46 78.261
5/77 77.922
7/108 77.778
2/31 77.419
1200/(14+pi/2)
5/78 76.923
1200/(14+phi)
3/47 76.596
1200/(14+sqrt(3))
4/63 76.1905
1/16 75
3/49 73.469
2/33 72.727
3/50 72
1200/(15+phi)
4/67 71.642
1200/(14+e)
1/17 70.588
1200/(14+pi)
3/52 69.231
2/35 68.571
3/53 67.9245
1/18 66.667
3/55 65.4545
2/37 64.865
1/19 63.158
1/20 60
1/21 57.143
0/1 0