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 |
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-mosstep | Perfect 0-mosstep | P0ms | 0 | 0.0¢ |
| 1-mosstep | Minor 1-mosstep | m1ms | s | 0.0¢ to 50.0¢ |
| Major 1-mosstep | M1ms | L | 50.0¢ to 63.2¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | L + s | 63.2¢ to 100.0¢ |
| Major 2-mosstep | M2ms | 2L | 100.0¢ to 126.3¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | 2L + s | 126.3¢ to 150.0¢ |
| Major 3-mosstep | M3ms | 3L | 150.0¢ to 189.5¢ | |
| 4-mosstep | Minor 4-mosstep | m4ms | 3L + s | 189.5¢ to 200.0¢ |
| Major 4-mosstep | M4ms | 4L | 200.0¢ to 252.6¢ | |
| 5-mosstep | Diminished 5-mosstep | d5ms | 3L + 2s | 189.5¢ to 250.0¢ |
| Perfect 5-mosstep | P5ms | 4L + s | 250.0¢ to 252.6¢ | |
| 6-mosstep | Minor 6-mosstep | m6ms | 4L + 2s | 252.6¢ to 300.0¢ |
| Major 6-mosstep | M6ms | 5L + s | 300.0¢ to 315.8¢ | |
| 7-mosstep | Minor 7-mosstep | m7ms | 5L + 2s | 315.8¢ to 350.0¢ |
| Major 7-mosstep | M7ms | 6L + s | 350.0¢ to 378.9¢ | |
| 8-mosstep | Minor 8-mosstep | m8ms | 6L + 2s | 378.9¢ to 400.0¢ |
| Major 8-mosstep | M8ms | 7L + s | 400.0¢ to 442.1¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | 7L + 2s | 442.1¢ to 450.0¢ |
| Major 9-mosstep | M9ms | 8L + s | 450.0¢ to 505.3¢ | |
| 10-mosstep | Minor 10-mosstep | m10ms | 7L + 3s | 442.1¢ to 500.0¢ |
| Major 10-mosstep | M10ms | 8L + 2s | 500.0¢ to 505.3¢ | |
| 11-mosstep | Minor 11-mosstep | m11ms | 8L + 3s | 505.3¢ to 550.0¢ |
| Major 11-mosstep | M11ms | 9L + 2s | 550.0¢ to 568.4¢ | |
| 12-mosstep | Minor 12-mosstep | m12ms | 9L + 3s | 568.4¢ to 600.0¢ |
| Major 12-mosstep | M12ms | 10L + 2s | 600.0¢ to 631.6¢ | |
| 13-mosstep | Minor 13-mosstep | m13ms | 10L + 3s | 631.6¢ to 650.0¢ |
| Major 13-mosstep | M13ms | 11L + 2s | 650.0¢ to 694.7¢ | |
| 14-mosstep | Minor 14-mosstep | m14ms | 11L + 3s | 694.7¢ to 700.0¢ |
| Major 14-mosstep | M14ms | 12L + 2s | 700.0¢ to 757.9¢ | |
| 15-mosstep | Minor 15-mosstep | m15ms | 11L + 4s | 694.7¢ to 750.0¢ |
| Major 15-mosstep | M15ms | 12L + 3s | 750.0¢ to 757.9¢ | |
| 16-mosstep | Minor 16-mosstep | m16ms | 12L + 4s | 757.9¢ to 800.0¢ |
| Major 16-mosstep | M16ms | 13L + 3s | 800.0¢ to 821.1¢ | |
| 17-mosstep | Minor 17-mosstep | m17ms | 13L + 4s | 821.1¢ to 850.0¢ |
| Major 17-mosstep | M17ms | 14L + 3s | 850.0¢ to 884.2¢ | |
| 18-mosstep | Minor 18-mosstep | m18ms | 14L + 4s | 884.2¢ to 900.0¢ |
| Major 18-mosstep | M18ms | 15L + 3s | 900.0¢ to 947.4¢ | |
| 19-mosstep | Perfect 19-mosstep | P19ms | 15L + 4s | 947.4¢ to 950.0¢ |
| Augmented 19-mosstep | A19ms | 16L + 3s | 950.0¢ to 1010.5¢ | |
| 20-mosstep | Minor 20-mosstep | m20ms | 15L + 5s | 947.4¢ to 1000.0¢ |
| Major 20-mosstep | M20ms | 16L + 4s | 1000.0¢ to 1010.5¢ | |
| 21-mosstep | Minor 21-mosstep | m21ms | 16L + 5s | 1010.5¢ to 1050.0¢ |
| Major 21-mosstep | M21ms | 17L + 4s | 1050.0¢ to 1073.7¢ | |
| 22-mosstep | Minor 22-mosstep | m22ms | 17L + 5s | 1073.7¢ to 1100.0¢ |
| Major 22-mosstep | M22ms | 18L + 4s | 1100.0¢ to 1136.8¢ | |
| 23-mosstep | Minor 23-mosstep | m23ms | 18L + 5s | 1136.8¢ to 1150.0¢ |
| Major 23-mosstep | M23ms | 19L + 4s | 1150.0¢ to 1200.0¢ | |
| 24-mosstep | Perfect 24-mosstep | P24ms | 19L + 5s | 1200.0¢ |
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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