2L 17s
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Scale structure
Step pattern
LssssssssLsssssssss
sssssssssLssssssssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
9\19 to 1\2 (568.4¢ to 600.0¢)
Dark
1\2 to 10\19 (600.0¢ to 631.6¢)
TAMNAMS information
Descends from
2L 7s (balzano)
Required step ratio range
6:1 to 1:0
Related MOS scales
Parent
2L 15s
Sister
17L 2s
Daughters
19L 2s
2L 19s
Equal tunings
Equalized (L:s = 1:1)
9\19 (568.4¢)
Supersoft (L:s = 4:3)
28\59 (569.5¢)
Soft (L:s = 3:2)
19\40 (570.0¢)
Semisoft (L:s = 5:3)
29\61 (570.5¢)
Basic (L:s = 2:1)
10\21 (571.4¢)
Semihard (L:s = 5:2)
21\44 (572.7¢)
Hard (L:s = 3:1)
11\23 (573.9¢)
Superhard (L:s = 4:1)
12\25 (576.0¢)
Collapsed (L:s = 1:0)
1\2 (600.0¢)
| ↖1L 16s | ↑2L 16s | 3L 16s↗ |
| ←1L 17s | 2L 17s | 3L 17s→ |
| ↙1L 18s | ↓2L 18s | 3L 18s↘ |
┌╥┬┬┬┬┬┬┬┬╥┬┬┬┬┬┬┬┬┬┐ │║││││││││║││││││││││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sssssssssLssssssssL
2L 19s
2L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 17 small steps, repeating every octave. 2L 17s is related to 2L 7s, expanding it by 10 tones. Generators that produce this scale range from 568.4¢ to 600¢, or from 600¢ to 631.6¢.
This is the MOS where the small steps divide 9-8 between the large steps. The generator is a tritone of no less than 9/19edo (568.421 cents), having minimum harmonic entropy at 7/5.
| Generator (edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 9\19 | 568.421 | 631.579 | 1:1 | 1.000 | Equalized 2L 17s | |||||
| 46\97 | 569.072 | 630.928 | 6:5 | 1.200 | ||||||
| 37\78 | 569.231 | 630.769 | 5:4 | 1.250 | ||||||
| 65\137 | 569.343 | 630.657 | 9:7 | 1.286 | ||||||
| 28\59 | 569.492 | 630.508 | 4:3 | 1.333 | Supersoft 2L 17s | |||||
| 75\158 | 569.620 | 630.380 | 11:8 | 1.375 | ||||||
| 47\99 | 569.697 | 630.303 | 7:5 | 1.400 | ||||||
| 66\139 | 569.784 | 630.216 | 10:7 | 1.429 | ||||||
| 19\40 | 570.000 | 630.000 | 3:2 | 1.500 | Soft 2L 17s | |||||
| 67\141 | 570.213 | 629.787 | 11:7 | 1.571 | ||||||
| 48\101 | 570.297 | 629.703 | 8:5 | 1.600 | ||||||
| 77\162 | 570.370 | 629.630 | 13:8 | 1.625 | ||||||
| 29\61 | 570.492 | 629.508 | 5:3 | 1.667 | Semisoft 2L 17s | |||||
| 68\143 | 570.629 | 629.371 | 12:7 | 1.714 | ||||||
| 39\82 | 570.732 | 629.268 | 7:4 | 1.750 | ||||||
| 49\103 | 570.874 | 629.126 | 9:5 | 1.800 | ||||||
| 10\21 | 571.429 | 628.571 | 2:1 | 2.000 | Basic 2L 17s Scales with tunings softer than this are proper | |||||
| 41\86 | 572.093 | 627.907 | 9:4 | 2.250 | ||||||
| 31\65 | 572.308 | 627.692 | 7:3 | 2.333 | ||||||
| 52\109 | 572.477 | 627.523 | 12:5 | 2.400 | ||||||
| 21\44 | 572.727 | 627.273 | 5:2 | 2.500 | Semihard 2L 17s | |||||
| 53\111 | 572.973 | 627.027 | 13:5 | 2.600 | ||||||
| 32\67 | 573.134 | 626.866 | 8:3 | 2.667 | ||||||
| 43\90 | 573.333 | 626.667 | 11:4 | 2.750 | ||||||
| 11\23 | 573.913 | 626.087 | 3:1 | 3.000 | Hard 2L 17s | |||||
| 34\71 | 574.648 | 625.352 | 10:3 | 3.333 | ||||||
| 23\48 | 575.000 | 625.000 | 7:2 | 3.500 | ||||||
| 35\73 | 575.342 | 624.658 | 11:3 | 3.667 | ||||||
| 12\25 | 576.000 | 624.000 | 4:1 | 4.000 | Superhard 2L 17s | |||||
| 25\52 | 576.923 | 623.077 | 9:2 | 4.500 | ||||||
| 13\27 | 577.778 | 622.222 | 5:1 | 5.000 | ||||||
| 14\29 | 579.310 | 620.690 | 6:1 | 6.000 | ||||||
| 1\2 | 600.000 | 600.000 | 1:0 | → ∞ | Collapsed 2L 17s | |||||