19L 5s
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Scale structure
Step pattern
LLLLsLLLLsLLLLsLLLLsLLLs
sLLLsLLLLsLLLLsLLLLsLLLL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
5\24 to 4\19 (250.0¢ to 252.6¢)
Dark
15\19 to 19\24 (947.4¢ to 950.0¢)
TAMNAMS information
Descends from
5L 4s (semiquartal)
Ancestor's step ratio range
3:1 to 4:1 (parahard)
Related MOS scales
Parent
5L 14s
Sister
5L 19s
Daughters
24L 19s, 19L 24s
Neutralized
14L 10s
2-Flought
43L 5s, 19L 29s
Equal tunings
Equalized (L:s = 1:1)
5\24 (250.0¢)
Supersoft (L:s = 4:3)
19\91 (250.5¢)
Soft (L:s = 3:2)
14\67 (250.7¢)
Semisoft (L:s = 5:3)
23\110 (250.9¢)
Basic (L:s = 2:1)
9\43 (251.2¢)
Semihard (L:s = 5:2)
22\105 (251.4¢)
Hard (L:s = 3:1)
13\62 (251.6¢)
Superhard (L:s = 4:1)
17\81 (251.9¢)
Collapsed (L:s = 1:0)
4\19 (252.6¢)
↖ 18L 4s | ↑ 19L 4s | 20L 4s ↗ |
← 18L 5s | 19L 5s | 20L 5s → |
↙ 18L 6s | ↓ 19L 6s | 20L 6s ↘ |
┌╥╥╥╥┬╥╥╥╥┬╥╥╥╥┬╥╥╥╥┬╥╥╥┬┐ │║║║║│║║║║│║║║║│║║║║│║║║││ ││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLLsLLLLsLLLLsLLLLsLLLL
19L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 5 small steps, repeating every octave. 19L 5s is a great-grandchild scale of 5L 4s, expanding it by 15 tones. Generators that produce this scale range from 250¢ to 252.6¢, or from 947.4¢ to 950¢.
Modes
UDP | Cyclic Order |
Step Pattern |
---|---|---|
23|0 | 1 | LLLLsLLLLsLLLLsLLLLsLLLs |
22|1 | 6 | LLLLsLLLLsLLLLsLLLsLLLLs |
21|2 | 11 | LLLLsLLLLsLLLsLLLLsLLLLs |
20|3 | 16 | LLLLsLLLsLLLLsLLLLsLLLLs |
19|4 | 21 | LLLsLLLLsLLLLsLLLLsLLLLs |
18|5 | 2 | LLLsLLLLsLLLLsLLLLsLLLsL |
17|6 | 7 | LLLsLLLLsLLLLsLLLsLLLLsL |
16|7 | 12 | LLLsLLLLsLLLsLLLLsLLLLsL |
15|8 | 17 | LLLsLLLsLLLLsLLLLsLLLLsL |
14|9 | 22 | LLsLLLLsLLLLsLLLLsLLLLsL |
13|10 | 3 | LLsLLLLsLLLLsLLLLsLLLsLL |
12|11 | 8 | LLsLLLLsLLLLsLLLsLLLLsLL |
11|12 | 13 | LLsLLLLsLLLsLLLLsLLLLsLL |
10|13 | 18 | LLsLLLsLLLLsLLLLsLLLLsLL |
9|14 | 23 | LsLLLLsLLLLsLLLLsLLLLsLL |
8|15 | 4 | LsLLLLsLLLLsLLLLsLLLsLLL |
7|16 | 9 | LsLLLLsLLLLsLLLsLLLLsLLL |
6|17 | 14 | LsLLLLsLLLsLLLLsLLLLsLLL |
5|18 | 19 | LsLLLsLLLLsLLLLsLLLLsLLL |
4|19 | 24 | sLLLLsLLLLsLLLLsLLLLsLLL |
3|20 | 5 | sLLLLsLLLLsLLLLsLLLsLLLL |
2|21 | 10 | sLLLLsLLLLsLLLsLLLLsLLLL |
1|22 | 15 | sLLLLsLLLsLLLLsLLLLsLLLL |
0|23 | 20 | sLLLsLLLLsLLLLsLLLLsLLLL |
Scale tree
Generator(edo) | Cents | Step Ratio | Comments | |||||||
---|---|---|---|---|---|---|---|---|---|---|
Bright | Dark | L:s | Hardness | |||||||
5\24 | 250.000 | 950.000 | 1:1 | 1.000 | Equalized 19L 5s | |||||
29\139 | 250.360 | 949.640 | 6:5 | 1.200 | ||||||
24\115 | 250.435 | 949.565 | 5:4 | 1.250 | ||||||
43\206 | 250.485 | 949.515 | 9:7 | 1.286 | ||||||
19\91 | 250.549 | 949.451 | 4:3 | 1.333 | Supersoft 19L 5s | |||||
52\249 | 250.602 | 949.398 | 11:8 | 1.375 | ||||||
33\158 | 250.633 | 949.367 | 7:5 | 1.400 | ||||||
47\225 | 250.667 | 949.333 | 10:7 | 1.429 | ||||||
14\67 | 250.746 | 949.254 | 3:2 | 1.500 | Soft 19L 5s | |||||
51\244 | 250.820 | 949.180 | 11:7 | 1.571 | ||||||
37\177 | 250.847 | 949.153 | 8:5 | 1.600 | ||||||
60\287 | 250.871 | 949.129 | 13:8 | 1.625 | ||||||
23\110 | 250.909 | 949.091 | 5:3 | 1.667 | Semisoft 19L 5s | |||||
55\263 | 250.951 | 949.049 | 12:7 | 1.714 | ||||||
32\153 | 250.980 | 949.020 | 7:4 | 1.750 | ||||||
41\196 | 251.020 | 948.980 | 9:5 | 1.800 | ||||||
9\43 | 251.163 | 948.837 | 2:1 | 2.000 | Basic 19L 5s Scales with tunings softer than this are proper | |||||
40\191 | 251.309 | 948.691 | 9:4 | 2.250 | ||||||
31\148 | 251.351 | 948.649 | 7:3 | 2.333 | ||||||
53\253 | 251.383 | 948.617 | 12:5 | 2.400 | ||||||
22\105 | 251.429 | 948.571 | 5:2 | 2.500 | Semihard 19L 5s | |||||
57\272 | 251.471 | 948.529 | 13:5 | 2.600 | ||||||
35\167 | 251.497 | 948.503 | 8:3 | 2.667 | ||||||
48\229 | 251.528 | 948.472 | 11:4 | 2.750 | ||||||
13\62 | 251.613 | 948.387 | 3:1 | 3.000 | Hard 19L 5s | |||||
43\205 | 251.707 | 948.293 | 10:3 | 3.333 | ||||||
30\143 | 251.748 | 948.252 | 7:2 | 3.500 | ||||||
47\224 | 251.786 | 948.214 | 11:3 | 3.667 | ||||||
17\81 | 251.852 | 948.148 | 4:1 | 4.000 | Superhard 19L 5s | |||||
38\181 | 251.934 | 948.066 | 9:2 | 4.500 | ||||||
21\100 | 252.000 | 948.000 | 5:1 | 5.000 | ||||||
25\119 | 252.101 | 947.899 | 6:1 | 6.000 | ||||||
4\19 | 252.632 | 947.368 | 1:0 | → ∞ | Collapsed 19L 5s |
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