13L 14s
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Brightest mode
LsLsLsLsLsLsLsLsLsLsLsLsLss
Period
2/1
Range for bright generator
2\27 (88.9¢) to 1\13 (92.3¢)
Range for dark generator
12\13 (1107.7¢) to 25\27 (1111.1¢)
Parent MOS
13L 1s
Sister MOS
14L 13s
Daughter MOSes
27L 13s, 13L 27s
Equal tunings
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¢)
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¢)
Brightest-mode tunings on xenpaper
Supersoft Soft Semisoft Basic Semihard Hard Superhard
↖12L 13s | ↑13L 13s | 14L 13s↗ |
←12L 14s | 13L 14s | 14L 14s→ |
↙12L 15s | ↓13L 15s | 14L 15s↘ |
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
UDP | Rotational 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 |
Scale tree
Generator (in steps of edo) | Cents | Step ratio | Comments | |||||||
---|---|---|---|---|---|---|---|---|---|---|
Bright | Dark | L:s | Hardness | |||||||
2\27 | 88.889 | 1111.111 | 1:1 | 1.000 | Equalized 13L 14s | |||||
11\148 | 89.189 | 1110.811 | 6:5 | 1.200 | ||||||
9\121 | 89.256 | 1110.744 | 5:4 | 1.250 | ||||||
16\215 | 89.302 | 1110.698 | 9:7 | 1.286 | ||||||
7\94 | 89.362 | 1110.638 | 4:3 | 1.333 | Supersoft 13L 14s | |||||
19\255 | 89.412 | 1110.588 | 11:8 | 1.375 | ||||||
12\161 | 89.441 | 1110.559 | 7:5 | 1.400 | ||||||
17\228 | 89.474 | 1110.526 | 10:7 | 1.429 | ||||||
5\67 | 89.552 | 1110.448 | 3:2 | 1.500 | Soft 13L 14s | |||||
18\241 | 89.627 | 1110.373 | 11:7 | 1.571 | ||||||
13\174 | 89.655 | 1110.345 | 8:5 | 1.600 | ||||||
21\281 | 89.680 | 1110.320 | 13:8 | 1.625 | ||||||
8\107 | 89.720 | 1110.280 | 5:3 | 1.667 | Semisoft 13L 14s | |||||
19\254 | 89.764 | 1110.236 | 12:7 | 1.714 | ||||||
11\147 | 89.796 | 1110.204 | 7:4 | 1.750 | ||||||
14\187 | 89.840 | 1110.160 | 9:5 | 1.800 | ||||||
3\40 | 90.000 | 1110.000 | 2:1 | 2.000 | Basic 13L 14s Scales with tunings softer than this are proper | |||||
13\173 | 90.173 | 1109.827 | 9:4 | 2.250 | ||||||
10\133 | 90.226 | 1109.774 | 7:3 | 2.333 | ||||||
17\226 | 90.265 | 1109.735 | 12:5 | 2.400 | ||||||
7\93 | 90.323 | 1109.677 | 5:2 | 2.500 | Semihard 13L 14s | |||||
18\239 | 90.377 | 1109.623 | 13:5 | 2.600 | ||||||
11\146 | 90.411 | 1109.589 | 8:3 | 2.667 | ||||||
15\199 | 90.452 | 1109.548 | 11:4 | 2.750 | ||||||
4\53 | 90.566 | 1109.434 | 3:1 | 3.000 | Hard 13L 14s | |||||
13\172 | 90.698 | 1109.302 | 10:3 | 3.333 | ||||||
9\119 | 90.756 | 1109.244 | 7:2 | 3.500 | ||||||
14\185 | 90.811 | 1109.189 | 11:3 | 3.667 | ||||||
5\66 | 90.909 | 1109.091 | 4:1 | 4.000 | Superhard 13L 14s | |||||
11\145 | 91.034 | 1108.966 | 9:2 | 4.500 | ||||||
6\79 | 91.139 | 1108.861 | 5:1 | 5.000 | ||||||
7\92 | 91.304 | 1108.696 | 6:1 | 6.000 | ||||||
1\13 | 92.308 | 1107.692 | 1:0 | → ∞ | Collapsed 13L 14s |
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