13L 14s

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Revision as of 06:01, 30 January 2024 by BudjarnLambeth (talk | contribs) ({{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum ==)
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↖ 12L 13s ↑ 13L 13s 14L 13s ↗
← 12L 14s 13L 14s 14L 14s →
↙ 12L 15s ↓ 13L 15s 14L 15s ↘
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Scale structure
Step pattern LsLsLsLsLsLsLsLsLsLsLsLsLss
ssLsLsLsLsLsLsLsLsLsLsLsLsL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 2\27 to 1\13 (88.9 ¢ to 92.3 ¢)
Dark 12\13 to 25\27 (1107.7 ¢ to 1111.1 ¢)
TAMNAMS information
Related to 1L 9s (antisinatonic)
With tunings 4:1 to 9:2
Related MOS scales
Parent 13L 1s
Sister 14L 13s
Daughters 27L 13s, 13L 27s
Neutralized 26L 1s
2-Flought 40L 14s, 13L 41s
Equal tunings
Equalized (L:s = 1:1) 2\27 (88.9 ¢)
Supersoft (L:s = 4:3) 7\94 (89.4 ¢)
Soft (L:s = 3:2) 5\67 (89.6 ¢)
Semisoft (L:s = 5:3) 8\107 (89.7 ¢)
Basic (L:s = 2:1) 3\40 (90.0 ¢)
Semihard (L:s = 5:2) 7\93 (90.3 ¢)
Hard (L:s = 3:1) 4\53 (90.6 ¢)
Superhard (L:s = 4:1) 5\66 (90.9 ¢)
Collapsed (L:s = 1:0) 1\13 (92.3 ¢)

13L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 13 large steps and 14 small steps, repeating every octave. 13L 14s is related to 1L 9s, expanding it by 17 tones. Generators that produce this scale range from 88.9 ¢ to 92.3 ¢, or from 1107.7 ¢ to 1111.1 ¢.

Modes

Modes of 13L 14s
UDP Cyclic
order
Step
pattern
26|0 1 LsLsLsLsLsLsLsLsLsLsLsLsLss
25|1 3 LsLsLsLsLsLsLsLsLsLsLsLssLs
24|2 5 LsLsLsLsLsLsLsLsLsLsLssLsLs
23|3 7 LsLsLsLsLsLsLsLsLsLssLsLsLs
22|4 9 LsLsLsLsLsLsLsLsLssLsLsLsLs
21|5 11 LsLsLsLsLsLsLsLssLsLsLsLsLs
20|6 13 LsLsLsLsLsLsLssLsLsLsLsLsLs
19|7 15 LsLsLsLsLsLssLsLsLsLsLsLsLs
18|8 17 LsLsLsLsLssLsLsLsLsLsLsLsLs
17|9 19 LsLsLsLssLsLsLsLsLsLsLsLsLs
16|10 21 LsLsLssLsLsLsLsLsLsLsLsLsLs
15|11 23 LsLssLsLsLsLsLsLsLsLsLsLsLs
14|12 25 LssLsLsLsLsLsLsLsLsLsLsLsLs
13|13 27 sLsLsLsLsLsLsLsLsLsLsLsLsLs
12|14 2 sLsLsLsLsLsLsLsLsLsLsLsLssL
11|15 4 sLsLsLsLsLsLsLsLsLsLsLssLsL
10|16 6 sLsLsLsLsLsLsLsLsLsLssLsLsL
9|17 8 sLsLsLsLsLsLsLsLsLssLsLsLsL
8|18 10 sLsLsLsLsLsLsLsLssLsLsLsLsL
7|19 12 sLsLsLsLsLsLsLssLsLsLsLsLsL
6|20 14 sLsLsLsLsLsLssLsLsLsLsLsLsL
5|21 16 sLsLsLsLsLssLsLsLsLsLsLsLsL
4|22 18 sLsLsLsLssLsLsLsLsLsLsLsLsL
3|23 20 sLsLsLssLsLsLsLsLsLsLsLsLsL
2|24 22 sLsLssLsLsLsLsLsLsLsLsLsLsL
1|25 24 sLssLsLsLsLsLsLsLsLsLsLsLsL
0|26 26 ssLsLsLsLsLsLsLsLsLsLsLsLsL

Tuning spectrum

generator L s L/s gen (cents) comment
1\13 1 0 92.308
10\131 9 1 9.000 91.603
9\118 8 1 8.000 91.525
8\105 7 1 7.000 91.429
15\197 13 2 6.500 91.371
7\92 6 1 6.000 91.304
13\171 11 2 5.500 91.228
6\79 5 1 5.000 91.139
11\145 9 2 4.500 91.034
16\211 13 3 4.333 90.995
5\66 4 1 4.000 90.909
14\185 11 3 3.667 90.811
9\119 7 2 3.500 90.756
13\172 10 3 3.333 90.698
4\53 3 1 3.000 90.566
15\199 11 4 2.750 90.452
11\146 8 3 2.667 90.411
7\93 5 2 2.500 90.323
10\133 7 3 2.333 90.226
13\173 9 4 2.250 90.173
16\213 11 5 2.200 90.141
3\40 2 1 2.000 90.000
14\187 9 5 1.800 89.840
11\147 7 4 1.750 89.796
8\107 5 3 1.667 89.720
13\174 8 5 1.600 89.655
5\67 3 2 1.500 89.552
12\161 7 5 1.400 89.441
7\94 4 3 1.333 89.362
16\215 9 7 1.286 89.302
9\121 5 4 1.250 89.256
11\148 6 5 1.200 89.189
13\175 7 6 1.167 89.143
15\202 8 7 1.143 89.109
17\229 9 8 1.125 89.083
2\27 1 1 1.000 88.889