14L 13s: Difference between revisions

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Infobox MOS, improve lead section, categories
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This is the MOS where the the small steps split the large steps into groups of 1-1-1-1-1-1-1-1-1-1-1-1-2. Its "neutral" semitone generator is no less than 1/14edo (85.857 cents) and its harmonic entropy minimum is +8g = 3/2 (approximately 41edo).
{{Infobox MOS
| Other names =
| Periods = 1
| nLargeSteps = 14
| nSmallSteps = 13
| Equalized = 25
| Collapsed = 13
| Pattern = LLsLsLsLsLsLsLsLsLsLsLsLsLs
}}
The '''14L 13s''' [[MOS scale]] has the small steps split the large steps into groups of 2-1-1-1-1-1-1-1-1-1-1-1-1. Its "neutral" semitone generator is no less than 1/14edo (85.857 cents) and its harmonic entropy minimum is +8g = 3/2 (approximately 41edo).


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[[Category:27-tone scales]]

Revision as of 15:51, 6 January 2023

↖ 13L 12s ↑ 14L 12s 15L 12s ↗
← 13L 13s 14L 13s 15L 13s →
↙ 13L 14s ↓ 14L 14s 15L 14s ↘ 
┌╥╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┐
│║║│║│║│║│║│║│║│║│║│║│║│║│║││
│││││││││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLsLsLsLsLsLsLsLsLsLsLsLs
sLsLsLsLsLsLsLsLsLsLsLsLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 25\27 to 13\14 (1111.1 ¢ to 1114.3 ¢)
Dark 1\14 to 2\27 (85.7 ¢ to 88.9 ¢)
TAMNAMS information
Related to 1L 9s (antisinatonic)
With tunings 9:2 to 5:1
Related MOS scales
Parent 13L 1s
Sister 13L 14s
Daughters 27L 14s, 14L 27s
Neutralized 1L 26s
2-Flought 41L 13s, 14L 40s
Equal tunings
Equalized (L:s = 1:1) 25\27 (1111.1 ¢)
Supersoft (L:s = 4:3) 88\95 (1111.6 ¢)
Soft (L:s = 3:2) 63\68 (1111.8 ¢)
Semisoft (L:s = 5:3) 101\109 (1111.9 ¢)
Basic (L:s = 2:1) 38\41 (1112.2 ¢)
Semihard (L:s = 5:2) 89\96 (1112.5 ¢)
Hard (L:s = 3:1) 51\55 (1112.7 ¢)
Superhard (L:s = 4:1) 64\69 (1113.0 ¢)
Collapsed (L:s = 1:0) 13\14 (1114.3 ¢)

The 14L 13s MOS scale has the small steps split the large steps into groups of 2-1-1-1-1-1-1-1-1-1-1-1-1. Its "neutral" semitone generator is no less than 1/14edo (85.857 cents) and its harmonic entropy minimum is +8g = 3/2 (approximately 41edo).

2/27 88.889
9/122 88.525
7/95 88.421
12/163 88.344
5/68 88.235
88.164
13/177 88.136
88.118
8/109 88.073
88.015
11/150 88
3/41 87.805
10/137 87.591
7/96 87.5
87.441
11/151 87.417
87.393
4/55 87.273
87.2185
9/124 87.097
5/69 86.9565
6/83 86.747
1/14 85.857
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