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 (machinoid)
Required 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
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¢)
Todo: review
Adopt scale tree template, review entries
| ↖5L 16s | ↑6L 16s | 7L 16s↗ |
| ←5L 17s | 6L 17s | 7L 17s→ |
| ↙5L 18s | ↓6L 18s | 7L 18s↘ |
┌╥┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬┐ │║││║│││║│││║│││║│││║││││ │││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sssLsssLsssLsssLsssLssL
6L 23s
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 | Rotational 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 |
Tuning spectrum
| generator | L | s | L/s | gen (cents) | comment | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1\6 | 1 | 0 | 200.000 | |||||||||
| 11\65 | 8 | 1 | 8.000 | 203.077 | ||||||||
| 10\59 | 7 | 1 | 7.000 | 203.390 | ||||||||
| 19\112 | 13 | 2 | 6.500 | 203.571 | ||||||||
| 9\53 | 6 | 1 | 6.000 | 203.774 | ||||||||
| 17\100 | 11 | 2 | 5.500 | 204.000 | ||||||||
| 25\147 | 16 | 3 | 5.333 | 204.082 | Baldy is optimal around here | |||||||
| 8\47 | 5 | 1 | 5.000 | 204.255 | ||||||||
| 23\135 | 14 | 3 | 4.667 | 204.444 | ||||||||
| 15\88 | 9 | 2 | 4.500 | 204.545 | ||||||||
| 22\129 | 13 | 3 | 4.333 | 204.651 | ||||||||
| 7\41 | 4 | 1 | 4.000 | 204.878 | Quadrimage | |||||||
| 20\117 | 11 | 3 | 3.667 | 205.128 | ||||||||
| 13\76 | 7 | 2 | 3.500 | 205.263 | ||||||||
| 19\111 | 10 | 3 | 3.333 | 205.405 | ||||||||
| 25\146 | 13 | 4 | 3.250 | 205.479 | ||||||||
| 6\35 | 3 | 1 | 3.000 | 205.714 | ||||||||
| 23\134 | 11 | 4 | 2.750 | 205.970 | ||||||||
| 17\99 | 8 | 3 | 2.667 | 206.061 | ||||||||
| 11\64 | 5 | 2 | 2.500 | 206.250 | ||||||||
| 16\93 | 7 | 3 | 2.333 | 206.452 | ||||||||
| 21\122 | 9 | 4 | 2.250 | 206.557 | ||||||||
| 5\29 | 2 | 1 | 2.000 | 206.897 | ||||||||
| 24\139 | 9 | 5 | 1.800 | 207.194 | ||||||||
| 19\110 | 7 | 4 | 1.750 | 207.273 | ||||||||
| 14\81 | 5 | 3 | 1.667 | 207.407 | ||||||||
| 23\133 | 8 | 5 | 1.600 | 207.519 | ||||||||
| 9\52 | 3 | 2 | 1.500 | 207.692 | ||||||||
| 22\127 | 7 | 5 | 1.400 | 207.874 | ||||||||
| 13\75 | 4 | 3 | 1.333 | 208.000 | ||||||||
| 17\98 | 5 | 4 | 1.250 | 208.163 | ||||||||
| 21\121 | 6 | 5 | 1.200 | 208.264 | ||||||||
| 25\144 | 7 | 6 | 1.167 | 208.333 | ||||||||
| 28\167 | 8 | 7 | 1.143 | 208.198 | ||||||||
| 4\23 | 1 | 1 | 1.000 | 208.696 | ||||||||