15L 8s: Difference between revisions

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Mos intro
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{{Infobox MOS
{{Infobox MOS}}
| Other names =
{{MOS intro}}
| Periods = 1
It is the quarter tone scale of Hemikleimsic temperament, generated by a 'neutral whole tone'.
| nLargeSteps = 15
| nSmallSteps = 8
| Equalized = 3
| Collapsed = 2
| Pattern = LLsLLsLLsLLsLLsLLsLLsLs
}}
The '''15L 8s''' [[MOS scale]] divides its large steps 2-2-2-2-2-2-2-1 between the small steps. It is the quarter tone scale of Hemikleimsic temperament, generated by a 'neutral whole tone' no smaller than 3/23edo (156.522 cents).


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Revision as of 05:17, 22 February 2024

↖ 14L 7s ↑ 15L 7s 16L 7s ↗
← 14L 8s 15L 8s 16L 8s →
↙ 14L 9s ↓ 15L 9s 16L 9s ↘
┌╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬╥┬┐
│║║│║║│║║│║║│║║│║║│║║│║││
│││││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLLsLLsLLsLLsLLsLLsLs
sLsLLsLLsLLsLLsLLsLLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 3\23 to 2\15 (156.5 ¢ to 160.0 ¢)
Dark 13\15 to 20\23 (1040.0 ¢ to 1043.5 ¢)
TAMNAMS information
Related to 7L 1s (pine)
With tunings 3:2 to 2:1 (hyposoft)
Related MOS scales
Parent 8L 7s
Sister 8L 15s
Daughters 23L 15s, 15L 23s
Neutralized 7L 16s
2-Flought 38L 8s, 15L 31s
Equal tunings
Equalized (L:s = 1:1) 3\23 (156.5 ¢)
Supersoft (L:s = 4:3) 11\84 (157.1 ¢)
Soft (L:s = 3:2) 8\61 (157.4 ¢)
Semisoft (L:s = 5:3) 13\99 (157.6 ¢)
Basic (L:s = 2:1) 5\38 (157.9 ¢)
Semihard (L:s = 5:2) 12\91 (158.2 ¢)
Hard (L:s = 3:1) 7\53 (158.5 ¢)
Superhard (L:s = 4:1) 9\68 (158.8 ¢)
Collapsed (L:s = 1:0) 2\15 (160.0 ¢)

15L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 15 large steps and 8 small steps, repeating every octave. 15L 8s is a grandchild scale of 7L 1s, expanding it by 15 tones. Generators that produce this scale range from 156.5 ¢ to 160 ¢, or from 1040 ¢ to 1043.5 ¢. It is the quarter tone scale of Hemikleimsic temperament, generated by a 'neutral whole tone'.

2/15 160
11/83 159.036
9/68 158.8235
16/121 158.678
158.549
7/53 158.491
158.36
19/144 158.33
158.308
12/91 158.242
17/129 158.1395
5/38 157.895
18/137 157.664
157.645
13/99 157.576
157.521
21/160 157.5
157.465
8/61 157.377
19/145 157.241
11/84 157.143
14/107 157.009
3/23 156.522