6L 19s
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Step pattern
LsssLsssLsssLsssLsssLssss
ssssLsssLsssLsssLsssLsssL
Equave
2/1 (1200.0 ¢)
Period
2/1 (1200.0 ¢)
Bright
4\25 to 1\6 (192.0 ¢ to 200.0 ¢)
Dark
5\6 to 21\25 (1000.0 ¢ to 1008.0 ¢)
Descends from
6L 1s (archaeotonic)
Ancestor's step ratio range
4:1 to 1:0 (ultrahard)
Parent
6L 13s
Sister
19L 6s
Daughters
25L 6s, 6L 25s
Neutralized
12L 13s
2-Flought
31L 19s, 6L 44s
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 ↘ |
┌╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬┬┐ │║│││║│││║│││║│││║│││║│││││ │││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
ssssLsssLsssLsssLsssLsssL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
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 ¢), laying estimates of the boundary of "practicality" between 37edo (minimum) and 43edo (maximum).
Scale properties
- This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for diatonic interval categories.
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 ¢ |
Generator chain
Bright gens | Scale degree | Abbrev. |
---|---|---|
30 | Augmented 20-mosdegree | A20md |
29 | Augmented 16-mosdegree | A16md |
28 | Augmented 12-mosdegree | A12md |
27 | Augmented 8-mosdegree | A8md |
26 | Augmented 4-mosdegree | A4md |
25 | Augmented 0-mosdegree | A0md |
24 | Augmented 21-mosdegree | A21md |
23 | Major 17-mosdegree | M17md |
22 | Major 13-mosdegree | M13md |
21 | Major 9-mosdegree | M9md |
20 | Major 5-mosdegree | M5md |
19 | Major 1-mosdegree | M1md |
18 | Major 22-mosdegree | M22md |
17 | Major 18-mosdegree | M18md |
16 | Major 14-mosdegree | M14md |
15 | Major 10-mosdegree | M10md |
14 | Major 6-mosdegree | M6md |
13 | Major 2-mosdegree | M2md |
12 | Major 23-mosdegree | M23md |
11 | Major 19-mosdegree | M19md |
10 | Major 15-mosdegree | M15md |
9 | Major 11-mosdegree | M11md |
8 | Major 7-mosdegree | M7md |
7 | Major 3-mosdegree | M3md |
6 | Major 24-mosdegree | M24md |
5 | Major 20-mosdegree | M20md |
4 | Major 16-mosdegree | M16md |
3 | Major 12-mosdegree | M12md |
2 | Major 8-mosdegree | M8md |
1 | Perfect 4-mosdegree | P4md |
0 | Perfect 0-mosdegree Perfect 25-mosdegree |
P0md P25md |
−1 | Perfect 21-mosdegree | P21md |
−2 | Minor 17-mosdegree | m17md |
−3 | Minor 13-mosdegree | m13md |
−4 | Minor 9-mosdegree | m9md |
−5 | Minor 5-mosdegree | m5md |
−6 | Minor 1-mosdegree | m1md |
−7 | Minor 22-mosdegree | m22md |
−8 | Minor 18-mosdegree | m18md |
−9 | Minor 14-mosdegree | m14md |
−10 | Minor 10-mosdegree | m10md |
−11 | Minor 6-mosdegree | m6md |
−12 | Minor 2-mosdegree | m2md |
−13 | Minor 23-mosdegree | m23md |
−14 | Minor 19-mosdegree | m19md |
−15 | Minor 15-mosdegree | m15md |
−16 | Minor 11-mosdegree | m11md |
−17 | Minor 7-mosdegree | m7md |
−18 | Minor 3-mosdegree | m3md |
−19 | Minor 24-mosdegree | m24md |
−20 | Minor 20-mosdegree | m20md |
−21 | Minor 16-mosdegree | m16md |
−22 | Minor 12-mosdegree | m12md |
−23 | Minor 8-mosdegree | m8md |
−24 | Diminished 4-mosdegree | d4md |
−25 | Diminished 25-mosdegree | d25md |
−26 | Diminished 21-mosdegree | d21md |
−27 | Diminished 17-mosdegree | d17md |
−28 | Diminished 13-mosdegree | d13md |
−29 | Diminished 9-mosdegree | d9md |
−30 | Diminished 5-mosdegree | d5md |
Modes
UDP | Cyclic order |
Step pattern |
Scale degree (mosdegree) | |||||||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | |||
24|0 | 1 | LsssLsssLsssLsssLsssLssss | Perf. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Aug. | Maj. | Maj. | Maj. | Perf. |
23|1 | 5 | LsssLsssLsssLsssLssssLsss | Perf. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Perf. |
22|2 | 9 | LsssLsssLsssLssssLsssLsss | Perf. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Perf. |
21|3 | 13 | LsssLsssLssssLsssLsssLsss | Perf. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Perf. |
20|4 | 17 | LsssLssssLsssLsssLsssLsss | Perf. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Perf. |
19|5 | 21 | LssssLsssLsssLsssLsssLsss | Perf. | Maj. | Maj. | Maj. | Perf. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Perf. |
18|6 | 25 | sLsssLsssLsssLsssLsssLsss | Perf. | Min. | Maj. | Maj. | Perf. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Perf. |
17|7 | 4 | sLsssLsssLsssLsssLssssLss | Perf. | Min. | Maj. | Maj. | Perf. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. | Min. | Maj. | Maj. | Perf. |
16|8 | 8 | sLsssLsssLsssLssssLsssLss | Perf. | Min. | Maj. | Maj. | Perf. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Perf. | Min. | Maj. | Maj. | Perf. |
15|9 | 12 | sLsssLsssLssssLsssLsssLss | Perf. | Min. | Maj. | Maj. | Perf. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Perf. | Min. | Maj. | Maj. | Perf. |
14|10 | 16 | sLsssLssssLsssLsssLsssLss | Perf. | Min. | Maj. | Maj. | Perf. | Min. | Maj. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Perf. | Min. | Maj. | Maj. | Perf. |
13|11 | 20 | sLssssLsssLsssLsssLsssLss | Perf. | Min. | Maj. | Maj. | Perf. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Perf. | Min. | Maj. | Maj. | Perf. |
12|12 | 24 | ssLsssLsssLsssLsssLsssLss | Perf. | Min. | Min. | Maj. | Perf. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Perf. | Min. | Maj. | Maj. | Perf. |
11|13 | 3 | ssLsssLsssLsssLsssLssssLs | Perf. | Min. | Min. | Maj. | Perf. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Perf. | Min. | Min. | Maj. | Perf. |
10|14 | 7 | ssLsssLsssLsssLssssLsssLs | Perf. | Min. | Min. | Maj. | Perf. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Min. | Maj. | Perf. | Min. | Min. | Maj. | Perf. |
9|15 | 11 | ssLsssLsssLssssLsssLsssLs | Perf. | Min. | Min. | Maj. | Perf. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Perf. | Min. | Min. | Maj. | Perf. |
8|16 | 15 | ssLsssLssssLsssLsssLsssLs | Perf. | Min. | Min. | Maj. | Perf. | Min. | Min. | Maj. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Perf. | Min. | Min. | Maj. | Perf. |
7|17 | 19 | ssLssssLsssLsssLsssLsssLs | Perf. | Min. | Min. | Maj. | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Perf. | Min. | Min. | Maj. | Perf. |
6|18 | 23 | sssLsssLsssLsssLsssLsssLs | Perf. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Perf. | Min. | Min. | Maj. | Perf. |
5|19 | 2 | sssLsssLsssLsssLsssLssssL | Perf. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Perf. | Min. | Min. | Min. | Perf. |
4|20 | 6 | sssLsssLsssLsssLssssLsssL | Perf. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Perf. |
3|21 | 10 | sssLsssLsssLssssLsssLsssL | Perf. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Perf. |
2|22 | 14 | sssLsssLssssLsssLsssLsssL | Perf. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Perf. |
1|23 | 18 | sssLssssLsssLsssLsssLsssL | Perf. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Perf. |
0|24 | 22 | ssssLsssLsssLsssLsssLsssL | Perf. | Min. | Min. | Min. | Dim. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Perf. |
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 |