6L 19s
Jump to navigation
Jump to search
Scale structure
Step pattern
LsssLsssLsssLsssLsssLssss
ssssLsssLsssLsssLsssLsssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
4\25 to 1\6 (192.0¢ to 200.0¢)
Dark
5\6 to 21\25 (1000.0¢ to 1008.0¢)
TAMNAMS information
Descends from
6L 1s (archaeotonic)
Ancestor's step ratio range
4:1 to 1:0 (ultrahard)
Related MOS scales
Parent
6L 13s
Sister
19L 6s
Daughters
25L 6s, 6L 25s
Neutralized
12L 13s
2-Flought
31L 19s, 6L 44s
Equal tunings
Equalized (L:s = 1:1)
4\25 (192.0¢)
Supersoft (L:s = 4:3)
13\81 (192.6¢)
Soft (L:s = 3:2)
9\56 (192.9¢)
Semisoft (L:s = 5:3)
14\87 (193.1¢)
Basic (L:s = 2:1)
5\31 (193.5¢)
Semihard (L:s = 5:2)
11\68 (194.1¢)
Hard (L:s = 3:1)
6\37 (194.6¢)
Superhard (L:s = 4:1)
7\43 (195.3¢)
Collapsed (L:s = 1:0)
1\6 (200.0¢)
| ↖ 5L 18s | ↑ 6L 18s | 7L 18s ↗ |
| ← 5L 19s | 6L 19s | 7L 19s → |
| ↙ 5L 20s | ↓ 6L 20s | 7L 20s ↘ |
┌╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬┬┐ │║│││║│││║│││║│││║│││║│││││ │││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssssLsssLsssLsssLsssLsssL
6L 19s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 19 small steps, repeating every octave. 6L 19s is a great-grandchild scale of 6L 1s, expanding it by 18 tones. Generators that produce this scale range from 192¢ to 200¢, or from 1000¢ to 1008¢.
This is the MOS where the large steps divide the small steps into groups of 3-3-3-3-3-4. It is generated by a "neutral" whole tone of no less than 4/25edo (192 cents), laying estimates of the boundary of "practicality" between 37edo (minimum) and 43edo (maximum).
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 24|0 | 1 | LsssLsssLsssLsssLsssLssss |
| 23|1 | 5 | LsssLsssLsssLsssLssssLsss |
| 22|2 | 9 | LsssLsssLsssLssssLsssLsss |
| 21|3 | 13 | LsssLsssLssssLsssLsssLsss |
| 20|4 | 17 | LsssLssssLsssLsssLsssLsss |
| 19|5 | 21 | LssssLsssLsssLsssLsssLsss |
| 18|6 | 25 | sLsssLsssLsssLsssLsssLsss |
| 17|7 | 4 | sLsssLsssLsssLsssLssssLss |
| 16|8 | 8 | sLsssLsssLsssLssssLsssLss |
| 15|9 | 12 | sLsssLsssLssssLsssLsssLss |
| 14|10 | 16 | sLsssLssssLsssLsssLsssLss |
| 13|11 | 20 | sLssssLsssLsssLsssLsssLss |
| 12|12 | 24 | ssLsssLsssLsssLsssLsssLss |
| 11|13 | 3 | ssLsssLsssLsssLsssLssssLs |
| 10|14 | 7 | ssLsssLsssLsssLssssLsssLs |
| 9|15 | 11 | ssLsssLsssLssssLsssLsssLs |
| 8|16 | 15 | ssLsssLssssLsssLsssLsssLs |
| 7|17 | 19 | ssLssssLsssLsssLsssLsssLs |
| 6|18 | 23 | sssLsssLsssLsssLsssLsssLs |
| 5|19 | 2 | sssLsssLsssLsssLsssLssssL |
| 4|20 | 6 | sssLsssLsssLsssLssssLsssL |
| 3|21 | 10 | sssLsssLsssLssssLsssLsssL |
| 2|22 | 14 | sssLsssLssssLsssLsssLsssL |
| 1|23 | 18 | sssLssssLsssLsssLsssLsssL |
| 0|24 | 22 | ssssLsssLsssLsssLsssLsssL |
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 200.0¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | 2s | 0.0¢ to 96.0¢ |
| Major 2-mosstep | M2ms | L + s | 96.0¢ to 200.0¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | 3s | 0.0¢ to 144.0¢ |
| Major 3-mosstep | M3ms | L + 2s | 144.0¢ to 200.0¢ | |
| 4-mosstep | Diminished 4-mosstep | d4ms | 4s | 0.0¢ to 192.0¢ |
| Perfect 4-mosstep | P4ms | L + 3s | 192.0¢ to 200.0¢ | |
| 5-mosstep | Minor 5-mosstep | m5ms | L + 4s | 200.0¢ to 240.0¢ |
| Major 5-mosstep | M5ms | 2L + 3s | 240.0¢ to 400.0¢ | |
| 6-mosstep | Minor 6-mosstep | m6ms | L + 5s | 200.0¢ to 288.0¢ |
| Major 6-mosstep | M6ms | 2L + 4s | 288.0¢ to 400.0¢ | |
| 7-mosstep | Minor 7-mosstep | m7ms | L + 6s | 200.0¢ to 336.0¢ |
| Major 7-mosstep | M7ms | 2L + 5s | 336.0¢ to 400.0¢ | |
| 8-mosstep | Minor 8-mosstep | m8ms | L + 7s | 200.0¢ to 384.0¢ |
| Major 8-mosstep | M8ms | 2L + 6s | 384.0¢ to 400.0¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | 2L + 7s | 400.0¢ to 432.0¢ |
| Major 9-mosstep | M9ms | 3L + 6s | 432.0¢ to 600.0¢ | |
| 10-mosstep | Minor 10-mosstep | m10ms | 2L + 8s | 400.0¢ to 480.0¢ |
| Major 10-mosstep | M10ms | 3L + 7s | 480.0¢ to 600.0¢ | |
| 11-mosstep | Minor 11-mosstep | m11ms | 2L + 9s | 400.0¢ to 528.0¢ |
| Major 11-mosstep | M11ms | 3L + 8s | 528.0¢ to 600.0¢ | |
| 12-mosstep | Minor 12-mosstep | m12ms | 2L + 10s | 400.0¢ to 576.0¢ |
| Major 12-mosstep | M12ms | 3L + 9s | 576.0¢ to 600.0¢ | |
| 13-mosstep | Minor 13-mosstep | m13ms | 3L + 10s | 600.0¢ to 624.0¢ |
| Major 13-mosstep | M13ms | 4L + 9s | 624.0¢ to 800.0¢ | |
| 14-mosstep | Minor 14-mosstep | m14ms | 3L + 11s | 600.0¢ to 672.0¢ |
| Major 14-mosstep | M14ms | 4L + 10s | 672.0¢ to 800.0¢ | |
| 15-mosstep | Minor 15-mosstep | m15ms | 3L + 12s | 600.0¢ to 720.0¢ |
| Major 15-mosstep | M15ms | 4L + 11s | 720.0¢ to 800.0¢ | |
| 16-mosstep | Minor 16-mosstep | m16ms | 3L + 13s | 600.0¢ to 768.0¢ |
| Major 16-mosstep | M16ms | 4L + 12s | 768.0¢ to 800.0¢ | |
| 17-mosstep | Minor 17-mosstep | m17ms | 4L + 13s | 800.0¢ to 816.0¢ |
| Major 17-mosstep | M17ms | 5L + 12s | 816.0¢ to 1000.0¢ | |
| 18-mosstep | Minor 18-mosstep | m18ms | 4L + 14s | 800.0¢ to 864.0¢ |
| Major 18-mosstep | M18ms | 5L + 13s | 864.0¢ to 1000.0¢ | |
| 19-mosstep | Minor 19-mosstep | m19ms | 4L + 15s | 800.0¢ to 912.0¢ |
| Major 19-mosstep | M19ms | 5L + 14s | 912.0¢ to 1000.0¢ | |
| 20-mosstep | Minor 20-mosstep | m20ms | 4L + 16s | 800.0¢ to 960.0¢ |
| Major 20-mosstep | M20ms | 5L + 15s | 960.0¢ to 1000.0¢ | |
| 21-mosstep | Perfect 21-mosstep | P21ms | 5L + 16s | 1000.0¢ to 1008.0¢ |
| Augmented 21-mosstep | A21ms | 6L + 15s | 1008.0¢ to 1200.0¢ | |
| 22-mosstep | Minor 22-mosstep | m22ms | 5L + 17s | 1000.0¢ to 1056.0¢ |
| Major 22-mosstep | M22ms | 6L + 16s | 1056.0¢ to 1200.0¢ | |
| 23-mosstep | Minor 23-mosstep | m23ms | 5L + 18s | 1000.0¢ to 1104.0¢ |
| Major 23-mosstep | M23ms | 6L + 17s | 1104.0¢ to 1200.0¢ | |
| 24-mosstep | Minor 24-mosstep | m24ms | 5L + 19s | 1000.0¢ to 1152.0¢ |
| Major 24-mosstep | M24ms | 6L + 18s | 1152.0¢ to 1200.0¢ | |
| 25-mosstep | Perfect 25-mosstep | P25ms | 6L + 19s | 1200.0¢ |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 4\25 | 192.000 | 1008.000 | 1:1 | 1.000 | Equalized 6L 19s | |||||
| 21\131 | 192.366 | 1007.634 | 6:5 | 1.200 | ||||||
| 17\106 | 192.453 | 1007.547 | 5:4 | 1.250 | ||||||
| 30\187 | 192.513 | 1007.487 | 9:7 | 1.286 | ||||||
| 13\81 | 192.593 | 1007.407 | 4:3 | 1.333 | Supersoft 6L 19s | |||||
| 35\218 | 192.661 | 1007.339 | 11:8 | 1.375 | ||||||
| 22\137 | 192.701 | 1007.299 | 7:5 | 1.400 | ||||||
| 31\193 | 192.746 | 1007.254 | 10:7 | 1.429 | ||||||
| 9\56 | 192.857 | 1007.143 | 3:2 | 1.500 | Soft 6L 19s | |||||
| 32\199 | 192.965 | 1007.035 | 11:7 | 1.571 | ||||||
| 23\143 | 193.007 | 1006.993 | 8:5 | 1.600 | ||||||
| 37\230 | 193.043 | 1006.957 | 13:8 | 1.625 | ||||||
| 14\87 | 193.103 | 1006.897 | 5:3 | 1.667 | Semisoft 6L 19s | |||||
| 33\205 | 193.171 | 1006.829 | 12:7 | 1.714 | ||||||
| 19\118 | 193.220 | 1006.780 | 7:4 | 1.750 | ||||||
| 24\149 | 193.289 | 1006.711 | 9:5 | 1.800 | ||||||
| 5\31 | 193.548 | 1006.452 | 2:1 | 2.000 | Basic 6L 19s Scales with tunings softer than this are proper | |||||
| 21\130 | 193.846 | 1006.154 | 9:4 | 2.250 | ||||||
| 16\99 | 193.939 | 1006.061 | 7:3 | 2.333 | ||||||
| 27\167 | 194.012 | 1005.988 | 12:5 | 2.400 | ||||||
| 11\68 | 194.118 | 1005.882 | 5:2 | 2.500 | Semihard 6L 19s | |||||
| 28\173 | 194.220 | 1005.780 | 13:5 | 2.600 | ||||||
| 17\105 | 194.286 | 1005.714 | 8:3 | 2.667 | ||||||
| 23\142 | 194.366 | 1005.634 | 11:4 | 2.750 | ||||||
| 6\37 | 194.595 | 1005.405 | 3:1 | 3.000 | Hard 6L 19s | |||||
| 19\117 | 194.872 | 1005.128 | 10:3 | 3.333 | ||||||
| 13\80 | 195.000 | 1005.000 | 7:2 | 3.500 | ||||||
| 20\123 | 195.122 | 1004.878 | 11:3 | 3.667 | ||||||
| 7\43 | 195.349 | 1004.651 | 4:1 | 4.000 | Superhard 6L 19s | |||||
| 15\92 | 195.652 | 1004.348 | 9:2 | 4.500 | ||||||
| 8\49 | 195.918 | 1004.082 | 5:1 | 5.000 | ||||||
| 9\55 | 196.364 | 1003.636 | 6:1 | 6.000 | ||||||
| 1\6 | 200.000 | 1000.000 | 1:0 | → ∞ | Collapsed 6L 19s | |||||