6L 17s
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Scale structure
Step pattern
LssLsssLsssLsssLsssLsss
sssLsssLsssLsssLsssLssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
19\23 to 5\6 (991.3¢ to 1000.0¢)
Dark
1\6 to 4\23 (200.0¢ to 208.7¢)
TAMNAMS information
Descends from
5L 1s
Ancestor's step ratio range
1:1 to 4:3 (ultrasoft)
Related MOS scales
Parent
6L 11s
Sister
17L 6s
Daughters
23L 6s, 6L 23s
Neutralized
12L 11s
2-Flought
29L 17s, 6L 40s
Equal tunings
Equalized (L:s = 1:1)
19\23 (991.3¢)
Supersoft (L:s = 4:3)
62\75 (992.0¢)
Soft (L:s = 3:2)
43\52 (992.3¢)
Semisoft (L:s = 5:3)
67\81 (992.6¢)
Basic (L:s = 2:1)
24\29 (993.1¢)
Semihard (L:s = 5:2)
53\64 (993.8¢)
Hard (L:s = 3:1)
29\35 (994.3¢)
Superhard (L:s = 4:1)
34\41 (995.1¢)
Collapsed (L:s = 1:0)
5\6 (1000.0¢)
↖ 5L 16s | ↑ 6L 16s | 7L 16s ↗ |
← 5L 17s | 6L 17s | 7L 17s → |
↙ 5L 18s | ↓ 6L 18s | 7L 18s ↘ |
┌╥┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬┐ │║││║│││║│││║│││║│││║││││ │││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sssLsssLsssLsssLsssLssL
6L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 17 small steps, repeating every octave. 6L 17s is a great-grandchild scale of 5L 1s, expanding it by 17 tones. Generators that produce this scale range from 991.3 ¢ to 1000 ¢, or from 200 ¢ to 208.7 ¢.
Modes
UDP | Cyclic order |
Step pattern |
---|---|---|
22|0 | 1 | LssLsssLsssLsssLsssLsss |
21|1 | 20 | LsssLssLsssLsssLsssLsss |
20|2 | 16 | LsssLsssLssLsssLsssLsss |
19|3 | 12 | LsssLsssLsssLssLsssLsss |
18|4 | 8 | LsssLsssLsssLsssLssLsss |
17|5 | 4 | LsssLsssLsssLsssLsssLss |
16|6 | 23 | sLssLsssLsssLsssLsssLss |
15|7 | 19 | sLsssLssLsssLsssLsssLss |
14|8 | 15 | sLsssLsssLssLsssLsssLss |
13|9 | 11 | sLsssLsssLsssLssLsssLss |
12|10 | 7 | sLsssLsssLsssLsssLssLss |
11|11 | 3 | sLsssLsssLsssLsssLsssLs |
10|12 | 22 | ssLssLsssLsssLsssLsssLs |
9|13 | 18 | ssLsssLssLsssLsssLsssLs |
8|14 | 14 | ssLsssLsssLssLsssLsssLs |
7|15 | 10 | ssLsssLsssLsssLssLsssLs |
6|16 | 6 | ssLsssLsssLsssLsssLssLs |
5|17 | 2 | ssLsssLsssLsssLsssLsssL |
4|18 | 21 | sssLssLsssLsssLsssLsssL |
3|19 | 17 | sssLsssLssLsssLsssLsssL |
2|20 | 13 | sssLsssLsssLssLsssLsssL |
1|21 | 9 | sssLsssLsssLsssLssLsssL |
0|22 | 5 | sssLsssLsssLsssLsssLssL |
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 52.2 ¢ |
Major 1-mosstep | M1ms | L | 52.2 ¢ to 200.0 ¢ | |
2-mosstep | Minor 2-mosstep | m2ms | 2s | 0.0 ¢ to 104.3 ¢ |
Major 2-mosstep | M2ms | L + s | 104.3 ¢ to 200.0 ¢ | |
3-mosstep | Minor 3-mosstep | m3ms | 3s | 0.0 ¢ to 156.5 ¢ |
Major 3-mosstep | M3ms | L + 2s | 156.5 ¢ to 200.0 ¢ | |
4-mosstep | Perfect 4-mosstep | P4ms | L + 3s | 200.0 ¢ to 208.7 ¢ |
Augmented 4-mosstep | A4ms | 2L + 2s | 208.7 ¢ to 400.0 ¢ | |
5-mosstep | Minor 5-mosstep | m5ms | L + 4s | 200.0 ¢ to 260.9 ¢ |
Major 5-mosstep | M5ms | 2L + 3s | 260.9 ¢ to 400.0 ¢ | |
6-mosstep | Minor 6-mosstep | m6ms | L + 5s | 200.0 ¢ to 313.0 ¢ |
Major 6-mosstep | M6ms | 2L + 4s | 313.0 ¢ to 400.0 ¢ | |
7-mosstep | Minor 7-mosstep | m7ms | L + 6s | 200.0 ¢ to 365.2 ¢ |
Major 7-mosstep | M7ms | 2L + 5s | 365.2 ¢ to 400.0 ¢ | |
8-mosstep | Minor 8-mosstep | m8ms | 2L + 6s | 400.0 ¢ to 417.4 ¢ |
Major 8-mosstep | M8ms | 3L + 5s | 417.4 ¢ to 600.0 ¢ | |
9-mosstep | Minor 9-mosstep | m9ms | 2L + 7s | 400.0 ¢ to 469.6 ¢ |
Major 9-mosstep | M9ms | 3L + 6s | 469.6 ¢ to 600.0 ¢ | |
10-mosstep | Minor 10-mosstep | m10ms | 2L + 8s | 400.0 ¢ to 521.7 ¢ |
Major 10-mosstep | M10ms | 3L + 7s | 521.7 ¢ to 600.0 ¢ | |
11-mosstep | Minor 11-mosstep | m11ms | 2L + 9s | 400.0 ¢ to 573.9 ¢ |
Major 11-mosstep | M11ms | 3L + 8s | 573.9 ¢ to 600.0 ¢ | |
12-mosstep | Minor 12-mosstep | m12ms | 3L + 9s | 600.0 ¢ to 626.1 ¢ |
Major 12-mosstep | M12ms | 4L + 8s | 626.1 ¢ to 800.0 ¢ | |
13-mosstep | Minor 13-mosstep | m13ms | 3L + 10s | 600.0 ¢ to 678.3 ¢ |
Major 13-mosstep | M13ms | 4L + 9s | 678.3 ¢ to 800.0 ¢ | |
14-mosstep | Minor 14-mosstep | m14ms | 3L + 11s | 600.0 ¢ to 730.4 ¢ |
Major 14-mosstep | M14ms | 4L + 10s | 730.4 ¢ to 800.0 ¢ | |
15-mosstep | Minor 15-mosstep | m15ms | 3L + 12s | 600.0 ¢ to 782.6 ¢ |
Major 15-mosstep | M15ms | 4L + 11s | 782.6 ¢ to 800.0 ¢ | |
16-mosstep | Minor 16-mosstep | m16ms | 4L + 12s | 800.0 ¢ to 834.8 ¢ |
Major 16-mosstep | M16ms | 5L + 11s | 834.8 ¢ to 1000.0 ¢ | |
17-mosstep | Minor 17-mosstep | m17ms | 4L + 13s | 800.0 ¢ to 887.0 ¢ |
Major 17-mosstep | M17ms | 5L + 12s | 887.0 ¢ to 1000.0 ¢ | |
18-mosstep | Minor 18-mosstep | m18ms | 4L + 14s | 800.0 ¢ to 939.1 ¢ |
Major 18-mosstep | M18ms | 5L + 13s | 939.1 ¢ to 1000.0 ¢ | |
19-mosstep | Diminished 19-mosstep | d19ms | 4L + 15s | 800.0 ¢ to 991.3 ¢ |
Perfect 19-mosstep | P19ms | 5L + 14s | 991.3 ¢ to 1000.0 ¢ | |
20-mosstep | Minor 20-mosstep | m20ms | 5L + 15s | 1000.0 ¢ to 1043.5 ¢ |
Major 20-mosstep | M20ms | 6L + 14s | 1043.5 ¢ to 1200.0 ¢ | |
21-mosstep | Minor 21-mosstep | m21ms | 5L + 16s | 1000.0 ¢ to 1095.7 ¢ |
Major 21-mosstep | M21ms | 6L + 15s | 1095.7 ¢ to 1200.0 ¢ | |
22-mosstep | Minor 22-mosstep | m22ms | 5L + 17s | 1000.0 ¢ to 1147.8 ¢ |
Major 22-mosstep | M22ms | 6L + 16s | 1147.8 ¢ to 1200.0 ¢ | |
23-mosstep | Perfect 23-mosstep | P23ms | 6L + 17s | 1200.0¢ |
Tuning spectrum
Generator(edo) | Cents | Step ratio | Comments | |||||||
---|---|---|---|---|---|---|---|---|---|---|
Bright | Dark | L:s | Hardness | |||||||
19\23 | 991.304 | 208.696 | 1:1 | 1.000 | Equalized 6L 17s | |||||
100\121 | 991.736 | 208.264 | 6:5 | 1.200 | ||||||
81\98 | 991.837 | 208.163 | 5:4 | 1.250 | ||||||
143\173 | 991.908 | 208.092 | 9:7 | 1.286 | ||||||
62\75 | 992.000 | 208.000 | 4:3 | 1.333 | Supersoft 6L 17s | |||||
167\202 | 992.079 | 207.921 | 11:8 | 1.375 | ||||||
105\127 | 992.126 | 207.874 | 7:5 | 1.400 | ||||||
148\179 | 992.179 | 207.821 | 10:7 | 1.429 | ||||||
43\52 | 992.308 | 207.692 | 3:2 | 1.500 | Soft 6L 17s | |||||
153\185 | 992.432 | 207.568 | 11:7 | 1.571 | ||||||
110\133 | 992.481 | 207.519 | 8:5 | 1.600 | ||||||
177\214 | 992.523 | 207.477 | 13:8 | 1.625 | ||||||
67\81 | 992.593 | 207.407 | 5:3 | 1.667 | Semisoft 6L 17s | |||||
158\191 | 992.670 | 207.330 | 12:7 | 1.714 | ||||||
91\110 | 992.727 | 207.273 | 7:4 | 1.750 | ||||||
115\139 | 992.806 | 207.194 | 9:5 | 1.800 | ||||||
24\29 | 993.103 | 206.897 | 2:1 | 2.000 | Basic 6L 17s Scales with tunings softer than this are proper | |||||
101\122 | 993.443 | 206.557 | 9:4 | 2.250 | ||||||
77\93 | 993.548 | 206.452 | 7:3 | 2.333 | ||||||
130\157 | 993.631 | 206.369 | 12:5 | 2.400 | ||||||
53\64 | 993.750 | 206.250 | 5:2 | 2.500 | Semihard 6L 17s | |||||
135\163 | 993.865 | 206.135 | 13:5 | 2.600 | ||||||
82\99 | 993.939 | 206.061 | 8:3 | 2.667 | ||||||
111\134 | 994.030 | 205.970 | 11:4 | 2.750 | ||||||
29\35 | 994.286 | 205.714 | 3:1 | 3.000 | Hard 6L 17s | |||||
92\111 | 994.595 | 205.405 | 10:3 | 3.333 | ||||||
63\76 | 994.737 | 205.263 | 7:2 | 3.500 | ||||||
97\117 | 994.872 | 205.128 | 11:3 | 3.667 | ||||||
34\41 | 995.122 | 204.878 | 4:1 | 4.000 | Superhard 6L 17s | |||||
73\88 | 995.455 | 204.545 | 9:2 | 4.500 | ||||||
39\47 | 995.745 | 204.255 | 5:1 | 5.000 | ||||||
44\53 | 996.226 | 203.774 | 6:1 | 6.000 | ||||||
5\6 | 1000.000 | 200.000 | 1:0 | → ∞ | Collapsed 6L 17s |
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