2L 19s

Revision as of 05:21, 22 February 2024 by Ganaram inukshuk (talk | contribs) (Mos intro, infobox mos)

2L 19s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 19 small steps, repeating every octave. 2L 19s is related to 2L 7s, expanding it by 12 tones. Generators that produce this scale range from 571.4 ¢ to 600 ¢, or from 600 ¢ to 628.6 ¢. This is the MOS where the small steps split 10-9 between the large steps. With a generator no smaller than 10/21edo (571.429 cents), it achieves a harmonic entropy minimum at generator = 7/5 (almost exactly 17/35edo).

↖ 1L 18s ↑ 2L 18s 3L 18s ↗
← 1L 19s 2L 19s 3L 19s →
↙ 1L 20s ↓ 2L 20s 3L 20s ↘
Scale structure
Step pattern LsssssssssLssssssssss
ssssssssssLsssssssssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 10\21 to 1\2 (571.4 ¢ to 600.0 ¢)
Dark 1\2 to 11\21 (600.0 ¢ to 628.6 ¢)
TAMNAMS information
Related to 2L 7s (balzano)
With tunings 7:1 to 1:0
Related MOS scales
Parent 2L 17s
Sister 19L 2s
Daughters 21L 2s, 2L 21s
Neutralized 4L 17s
2-Flought 23L 19s, 2L 40s
Equal tunings
Equalized (L:s = 1:1) 10\21 (571.4 ¢)
Supersoft (L:s = 4:3) 31\65 (572.3 ¢)
Soft (L:s = 3:2) 21\44 (572.7 ¢)
Semisoft (L:s = 5:3) 32\67 (573.1 ¢)
Basic (L:s = 2:1) 11\23 (573.9 ¢)
Semihard (L:s = 5:2) 23\48 (575.0 ¢)
Hard (L:s = 3:1) 12\25 (576.0 ¢)
Superhard (L:s = 4:1) 13\27 (577.8 ¢)
Collapsed (L:s = 1:0) 1\2 (600.0 ¢)
ViewTalkEdit
1/2 600
14/29 579.31
13/27 577.778
25/52 576.923
576.269
12/25 576
575.447
35/73 575.3425
575.2435
23/48 575
34/71 574.648
11/23 573.913
43/90 573.333
573.291
32/67 573.134
573.017
53/111 572.973
572.902
21/44 572.727
52/109 572.477
31/65 572.308
41/86 572.093
10/21 571.429