8L 4s: Difference between revisions

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[[Category:12-tone scales]]

Revision as of 16:13, 6 January 2023

↖ 7L 3s ↑ 8L 3s 9L 3s ↗
← 7L 4s 8L 4s 9L 4s →
↙ 7L 5s ↓ 8L 5s 9L 5s ↘
┌╥╥┬╥╥┬╥╥┬╥╥┬┐
│║║│║║│║║│║║││
││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLLsLLsLLs
sLLsLLsLLsLL
Equave 2/1 (1200.0 ¢)
Period 1\4 (300.0 ¢)
Generator size
Bright 1\12 to 1\8 (100.0 ¢ to 150.0 ¢)
Dark 1\8 to 2\12 (150.0 ¢ to 200.0 ¢)
TAMNAMS information
Related to 4L 4s (tetrawood)
With tunings 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 4L 4s
Sister 4L 8s
Daughters 12L 8s, 8L 12s
Neutralized 4L 8s
2-Flought 20L 4s, 8L 16s
Equal tunings
Equalized (L:s = 1:1) 1\12 (100.0 ¢)
Supersoft (L:s = 4:3) 4\44 (109.1 ¢)
Soft (L:s = 3:2) 3\32 (112.5 ¢)
Semisoft (L:s = 5:3) 5\52 (115.4 ¢)
Basic (L:s = 2:1) 2\20 (120.0 ¢)
Semihard (L:s = 5:2) 5\48 (125.0 ¢)
Hard (L:s = 3:1) 3\28 (128.6 ¢)
Superhard (L:s = 4:1) 4\36 (133.3 ¢)
Collapsed (L:s = 1:0) 1\8 (150.0 ¢)

This is the chromatic scale of Golden diminished temperament. It is always proper because it has one small step per period and is generated by its large step of 1\12edo to 1\8edo.

1\12 100
5\56 107.143
9\100 108
4\44 109.091
7\76 110.526
10\108 111.111
3\32 112.5
113.782
11\116 113.793
8\84 114.286
114.59
5\52 115.385
116.399
7\72 116.667
9\92 117.391
11\112 117.857
13\132 118.182
15\152 118.421
17\172 118.605
19\192 118.75
21\212 118.868
23\232 118.9655
25\252 119.048
2\20 120
13\128 121.125
11\108 122.222
9\88 122.727
7\68 123.529
12\116 124.137
5\48 125
125.946
8\76 126.316
126.696
11\104 126.923
14\132 127.273
3\28 128.571
129.405
16\148 129.73
13\120 130
10\92 130.435
7\64 131.25
11\100 132
4\36 133.333
13\116 134.483
9\80 135
5\44 136.364
1\8 150