6L 17s
Jump to navigation
Jump to search
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)
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
 |
Todo: review Review entries from past page revision and enter them into the scale tree. |
| 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 | |||||
 |
This page is a stub. You can help the Xenharmonic Wiki by expanding it. |