19L 6s
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Scale structure
Step pattern
LLLLsLLLsLLLsLLLsLLLsLLLs
sLLLsLLLsLLLsLLLsLLLsLLLL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
21\25 to 16\19 (1008.0¢ to 1010.5¢)
Dark
3\19 to 4\25 (189.5¢ to 192.0¢)
TAMNAMS information
Descends from
6L 1s (archaeotonic)
Ancestor's step ratio range
3:1 to 4:1 (parahard)
Related MOS scales
Parent
6L 13s
Sister
6L 19s
Daughters
25L 19s, 19L 25s
Neutralized
13L 12s
2-Flought
44L 6s, 19L 31s
Equal tunings
Equalized (L:s = 1:1)
21\25 (1008.0¢)
Supersoft (L:s = 4:3)
79\94 (1008.5¢)
Soft (L:s = 3:2)
58\69 (1008.7¢)
Semisoft (L:s = 5:3)
95\113 (1008.8¢)
Basic (L:s = 2:1)
37\44 (1009.1¢)
Semihard (L:s = 5:2)
90\107 (1009.3¢)
Hard (L:s = 3:1)
53\63 (1009.5¢)
Superhard (L:s = 4:1)
69\82 (1009.8¢)
Collapsed (L:s = 1:0)
16\19 (1010.5¢)
| ↖ 18L 5s | ↑ 19L 5s | 20L 5s ↗ |
| ← 18L 6s | 19L 6s | 20L 6s → |
| ↙ 18L 7s | ↓ 19L 7s | 20L 7s ↘ |
┌╥╥╥╥┬╥╥╥┬╥╥╥┬╥╥╥┬╥╥╥┬╥╥╥┬┐ │║║║║│║║║│║║║│║║║│║║║│║║║││ │││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLLsLLLsLLLsLLLsLLLsLLLL
19L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 6 small steps, repeating every octave. 19L 6s is a great-grandchild scale of 6L 1s, expanding it by 18 tones. Generators that produce this scale range from 1008¢ to 1010.5¢, or from 189.5¢ to 192¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 24|0 | 1 | LLLLsLLLsLLLsLLLsLLLsLLLs |
| 23|1 | 22 | LLLsLLLLsLLLsLLLsLLLsLLLs |
| 22|2 | 18 | LLLsLLLsLLLLsLLLsLLLsLLLs |
| 21|3 | 14 | LLLsLLLsLLLsLLLLsLLLsLLLs |
| 20|4 | 10 | LLLsLLLsLLLsLLLsLLLLsLLLs |
| 19|5 | 6 | LLLsLLLsLLLsLLLsLLLsLLLLs |
| 18|6 | 2 | LLLsLLLsLLLsLLLsLLLsLLLsL |
| 17|7 | 23 | LLsLLLLsLLLsLLLsLLLsLLLsL |
| 16|8 | 19 | LLsLLLsLLLLsLLLsLLLsLLLsL |
| 15|9 | 15 | LLsLLLsLLLsLLLLsLLLsLLLsL |
| 14|10 | 11 | LLsLLLsLLLsLLLsLLLLsLLLsL |
| 13|11 | 7 | LLsLLLsLLLsLLLsLLLsLLLLsL |
| 12|12 | 3 | LLsLLLsLLLsLLLsLLLsLLLsLL |
| 11|13 | 24 | LsLLLLsLLLsLLLsLLLsLLLsLL |
| 10|14 | 20 | LsLLLsLLLLsLLLsLLLsLLLsLL |
| 9|15 | 16 | LsLLLsLLLsLLLLsLLLsLLLsLL |
| 8|16 | 12 | LsLLLsLLLsLLLsLLLLsLLLsLL |
| 7|17 | 8 | LsLLLsLLLsLLLsLLLsLLLLsLL |
| 6|18 | 4 | LsLLLsLLLsLLLsLLLsLLLsLLL |
| 5|19 | 25 | sLLLLsLLLsLLLsLLLsLLLsLLL |
| 4|20 | 21 | sLLLsLLLLsLLLsLLLsLLLsLLL |
| 3|21 | 17 | sLLLsLLLsLLLLsLLLsLLLsLLL |
| 2|22 | 13 | sLLLsLLLsLLLsLLLLsLLLsLLL |
| 1|23 | 9 | sLLLsLLLsLLLsLLLsLLLLsLLL |
| 0|24 | 5 | sLLLsLLLsLLLsLLLsLLLsLLLL |
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 48.0¢ |
| Major 1-mosstep | M1ms | L | 48.0¢ to 63.2¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | L + s | 63.2¢ to 96.0¢ |
| Major 2-mosstep | M2ms | 2L | 96.0¢ to 126.3¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | 2L + s | 126.3¢ to 144.0¢ |
| Major 3-mosstep | M3ms | 3L | 144.0¢ to 189.5¢ | |
| 4-mosstep | Perfect 4-mosstep | P4ms | 3L + s | 189.5¢ to 192.0¢ |
| Augmented 4-mosstep | A4ms | 4L | 192.0¢ to 252.6¢ | |
| 5-mosstep | Minor 5-mosstep | m5ms | 3L + 2s | 189.5¢ to 240.0¢ |
| Major 5-mosstep | M5ms | 4L + s | 240.0¢ to 252.6¢ | |
| 6-mosstep | Minor 6-mosstep | m6ms | 4L + 2s | 252.6¢ to 288.0¢ |
| Major 6-mosstep | M6ms | 5L + s | 288.0¢ to 315.8¢ | |
| 7-mosstep | Minor 7-mosstep | m7ms | 5L + 2s | 315.8¢ to 336.0¢ |
| Major 7-mosstep | M7ms | 6L + s | 336.0¢ to 378.9¢ | |
| 8-mosstep | Minor 8-mosstep | m8ms | 6L + 2s | 378.9¢ to 384.0¢ |
| Major 8-mosstep | M8ms | 7L + s | 384.0¢ to 442.1¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | 6L + 3s | 378.9¢ to 432.0¢ |
| Major 9-mosstep | M9ms | 7L + 2s | 432.0¢ to 442.1¢ | |
| 10-mosstep | Minor 10-mosstep | m10ms | 7L + 3s | 442.1¢ to 480.0¢ |
| Major 10-mosstep | M10ms | 8L + 2s | 480.0¢ to 505.3¢ | |
| 11-mosstep | Minor 11-mosstep | m11ms | 8L + 3s | 505.3¢ to 528.0¢ |
| Major 11-mosstep | M11ms | 9L + 2s | 528.0¢ to 568.4¢ | |
| 12-mosstep | Minor 12-mosstep | m12ms | 9L + 3s | 568.4¢ to 576.0¢ |
| Major 12-mosstep | M12ms | 10L + 2s | 576.0¢ to 631.6¢ | |
| 13-mosstep | Minor 13-mosstep | m13ms | 9L + 4s | 568.4¢ to 624.0¢ |
| Major 13-mosstep | M13ms | 10L + 3s | 624.0¢ to 631.6¢ | |
| 14-mosstep | Minor 14-mosstep | m14ms | 10L + 4s | 631.6¢ to 672.0¢ |
| Major 14-mosstep | M14ms | 11L + 3s | 672.0¢ to 694.7¢ | |
| 15-mosstep | Minor 15-mosstep | m15ms | 11L + 4s | 694.7¢ to 720.0¢ |
| Major 15-mosstep | M15ms | 12L + 3s | 720.0¢ to 757.9¢ | |
| 16-mosstep | Minor 16-mosstep | m16ms | 12L + 4s | 757.9¢ to 768.0¢ |
| Major 16-mosstep | M16ms | 13L + 3s | 768.0¢ to 821.1¢ | |
| 17-mosstep | Minor 17-mosstep | m17ms | 12L + 5s | 757.9¢ to 816.0¢ |
| Major 17-mosstep | M17ms | 13L + 4s | 816.0¢ to 821.1¢ | |
| 18-mosstep | Minor 18-mosstep | m18ms | 13L + 5s | 821.1¢ to 864.0¢ |
| Major 18-mosstep | M18ms | 14L + 4s | 864.0¢ to 884.2¢ | |
| 19-mosstep | Minor 19-mosstep | m19ms | 14L + 5s | 884.2¢ to 912.0¢ |
| Major 19-mosstep | M19ms | 15L + 4s | 912.0¢ to 947.4¢ | |
| 20-mosstep | Minor 20-mosstep | m20ms | 15L + 5s | 947.4¢ to 960.0¢ |
| Major 20-mosstep | M20ms | 16L + 4s | 960.0¢ to 1010.5¢ | |
| 21-mosstep | Diminished 21-mosstep | d21ms | 15L + 6s | 947.4¢ to 1008.0¢ |
| Perfect 21-mosstep | P21ms | 16L + 5s | 1008.0¢ to 1010.5¢ | |
| 22-mosstep | Minor 22-mosstep | m22ms | 16L + 6s | 1010.5¢ to 1056.0¢ |
| Major 22-mosstep | M22ms | 17L + 5s | 1056.0¢ to 1073.7¢ | |
| 23-mosstep | Minor 23-mosstep | m23ms | 17L + 6s | 1073.7¢ to 1104.0¢ |
| Major 23-mosstep | M23ms | 18L + 5s | 1104.0¢ to 1136.8¢ | |
| 24-mosstep | Minor 24-mosstep | m24ms | 18L + 6s | 1136.8¢ to 1152.0¢ |
| Major 24-mosstep | M24ms | 19L + 5s | 1152.0¢ to 1200.0¢ | |
| 25-mosstep | Perfect 25-mosstep | P25ms | 19L + 6s | 1200.0¢ |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 21\25 | 1008.000 | 192.000 | 1:1 | 1.000 | Equalized 19L 6s | |||||
| 121\144 | 1008.333 | 191.667 | 6:5 | 1.200 | ||||||
| 100\119 | 1008.403 | 191.597 | 5:4 | 1.250 | ||||||
| 179\213 | 1008.451 | 191.549 | 9:7 | 1.286 | ||||||
| 79\94 | 1008.511 | 191.489 | 4:3 | 1.333 | Supersoft 19L 6s | |||||
| 216\257 | 1008.560 | 191.440 | 11:8 | 1.375 | ||||||
| 137\163 | 1008.589 | 191.411 | 7:5 | 1.400 | ||||||
| 195\232 | 1008.621 | 191.379 | 10:7 | 1.429 | ||||||
| 58\69 | 1008.696 | 191.304 | 3:2 | 1.500 | Soft 19L 6s | |||||
| 211\251 | 1008.765 | 191.235 | 11:7 | 1.571 | ||||||
| 153\182 | 1008.791 | 191.209 | 8:5 | 1.600 | ||||||
| 248\295 | 1008.814 | 191.186 | 13:8 | 1.625 | ||||||
| 95\113 | 1008.850 | 191.150 | 5:3 | 1.667 | Semisoft 19L 6s | |||||
| 227\270 | 1008.889 | 191.111 | 12:7 | 1.714 | ||||||
| 132\157 | 1008.917 | 191.083 | 7:4 | 1.750 | ||||||
| 169\201 | 1008.955 | 191.045 | 9:5 | 1.800 | ||||||
| 37\44 | 1009.091 | 190.909 | 2:1 | 2.000 | Basic 19L 6s Scales with tunings softer than this are proper | |||||
| 164\195 | 1009.231 | 190.769 | 9:4 | 2.250 | ||||||
| 127\151 | 1009.272 | 190.728 | 7:3 | 2.333 | ||||||
| 217\258 | 1009.302 | 190.698 | 12:5 | 2.400 | ||||||
| 90\107 | 1009.346 | 190.654 | 5:2 | 2.500 | Semihard 19L 6s | |||||
| 233\277 | 1009.386 | 190.614 | 13:5 | 2.600 | ||||||
| 143\170 | 1009.412 | 190.588 | 8:3 | 2.667 | ||||||
| 196\233 | 1009.442 | 190.558 | 11:4 | 2.750 | ||||||
| 53\63 | 1009.524 | 190.476 | 3:1 | 3.000 | Hard 19L 6s | |||||
| 175\208 | 1009.615 | 190.385 | 10:3 | 3.333 | ||||||
| 122\145 | 1009.655 | 190.345 | 7:2 | 3.500 | ||||||
| 191\227 | 1009.692 | 190.308 | 11:3 | 3.667 | ||||||
| 69\82 | 1009.756 | 190.244 | 4:1 | 4.000 | Superhard 19L 6s | |||||
| 154\183 | 1009.836 | 190.164 | 9:2 | 4.500 | ||||||
| 85\101 | 1009.901 | 190.099 | 5:1 | 5.000 | ||||||
| 101\120 | 1010.000 | 190.000 | 6:1 | 6.000 | ||||||
| 16\19 | 1010.526 | 189.474 | 1:0 | → ∞ | Collapsed 19L 6s | |||||
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