2L 15s
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Scale structure
Step pattern
LsssssssLssssssss
ssssssssLsssssssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
8\17 to 1\2 (564.7¢ to 600.0¢)
Dark
1\2 to 9\17 (600.0¢ to 635.3¢)
TAMNAMS information
Descends from
2L 7s (balzano)
Required step ratio range
5:1 to 1:0
Related MOS scales
Parent
2L 13s
Sister
15L 2s
Daughters
17L 2s
2L 17s
Equal tunings
Equalized (L:s = 1:1)
8\17 (564.7¢)
Supersoft (L:s = 4:3)
25\53 (566.0¢)
Soft (L:s = 3:2)
17\36 (566.7¢)
Semisoft (L:s = 5:3)
26\55 (567.3¢)
Basic (L:s = 2:1)
9\19 (568.4¢)
Semihard (L:s = 5:2)
19\40 (570.0¢)
Hard (L:s = 3:1)
10\21 (571.4¢)
Superhard (L:s = 4:1)
11\23 (573.9¢)
Collapsed (L:s = 1:0)
1\2 (600.0¢)
Todo: review
Adopt scale tree template, review entries
↖1L 14s | ↑2L 14s | 3L 14s↗ |
←1L 15s | 2L 15s | 3L 15s→ |
↙1L 16s | ↓2L 16s | 3L 16s↘ |
┌╥┬┬┬┬┬┬┬╥┬┬┬┬┬┬┬┬┐ │║│││││││║│││││││││ │││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssssssssLsssssssL
2L 17s
2L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 15 small steps, repeating every octave. 2L 15s is related to 2L 7s, expanding it by 8 tones. Generators that produce this scale range from 564.7¢ to 600¢, or from 600¢ to 635.3¢.
Modes
UDP | Rotational order | Step pattern |
---|---|---|
16|0 | 1 | LsssssssLssssssss |
15|1 | 9 | LssssssssLsssssss |
14|2 | 17 | sLsssssssLsssssss |
13|3 | 8 | sLssssssssLssssss |
12|4 | 16 | ssLsssssssLssssss |
11|5 | 7 | ssLssssssssLsssss |
10|6 | 15 | sssLsssssssLsssss |
9|7 | 6 | sssLssssssssLssss |
8|8 | 14 | ssssLsssssssLssss |
7|9 | 5 | ssssLssssssssLsss |
6|10 | 13 | sssssLsssssssLsss |
5|11 | 4 | sssssLssssssssLss |
4|12 | 12 | ssssssLsssssssLss |
3|13 | 3 | ssssssLssssssssLs |
2|14 | 11 | sssssssLsssssssLs |
1|15 | 2 | sssssssLssssssssL |
0|16 | 10 | ssssssssLsssssssL |
Tuning spectrum
Triton / liese / progress range
generator | L | s | L/s | gen (cents) | comment | |||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
1\2 | 1 | 0 | 600.000 | |||||||||
15\31 | 8 | 1 | 8.000 | 580.645 | Tritonic | |||||||
14\29 | 7 | 1 | 7.000 | 579.310 | ||||||||
27\56 | 13 | 2 | 6.500 | 578.571 | ||||||||
13\27 | 6 | 1 | 6.000 | 577.778 | Fervor | |||||||
38\79 | 17 | 3 | 5.667 | 577.215 | ||||||||
25\52 | 11 | 2 | 5.500 | 576.923 | ||||||||
37\77 | 16 | 3 | 5.333 | 576.623 | ||||||||
12\25 | 5 | 1 | 5.000 | 576.000 | ||||||||
47\98 | 19 | 4 | 4.750 | 575.510 | ||||||||
35\73 | 14 | 3 | 4.667 | 575.342 | ||||||||
23\48 | 9 | 2 | 4.500 | 575.000 | ||||||||
57\119 | 22 | 5 | 4.400 | 574.790 | ||||||||
34\71 | 13 | 3 | 4.333 | 574.648 | ||||||||
45\94 | 17 | 4 | 4.250 | 574.468 | ||||||||
11\23 | 4 | 1 | 4.000 | 573.913 | ||||||||
54\113 | 19 | 5 | 3.800 | 573.451 | ||||||||
43\90 | 15 | 4 | 3.750 | 573.333 | ||||||||
32\67 | 11 | 3 | 3.667 | 573.134 | ||||||||
53\111 | 18 | 5 | 3.600 | 572.973 | ||||||||
21\44 | 7 | 2 | 3.500 | 572.727 | ||||||||
52\109 | 17 | 5 | 3.400 | 572.477 | ||||||||
31\65 | 10 | 3 | 3.333 | 572.308 | ||||||||
41\86 | 13 | 4 | 3.250 | 572.093 | ||||||||
51\107 | 16 | 5 | 3.200 | 571.963 | ||||||||
10\21 | 3 | 1 | 3.000 | 571.429 | ||||||||
49\103 | 14 | 5 | 2.800 | 570.874 | ||||||||
39\82 | 11 | 4 | 2.750 | 570.732 | ||||||||
29\61 | 8 | 3 | 2.667 | 570.492 | ||||||||
48\101 | 13 | 5 | 2.600 | 570.297 | ||||||||
19\40 | 5 | 2 | 2.500 | 570.000 | ||||||||
47\99 | 12 | 5 | 2.400 | 569.697 | ||||||||
28\59 | 7 | 3 | 2.333 | 569.492 | ||||||||
37\78 | 9 | 4 | 2.250 | 569.231 | ||||||||
46\97 | 11 | 5 | 2.200 | 569.072 | ||||||||
55\116 | 13 | 6 | 2.167 | 568.966 | Lisa | |||||||
9\19 | 2 | 1 | 2.000 | 568.421 | ||||||||
53\112 | 11 | 6 | 1.833 | 567.857 | ||||||||
44\93 | 9 | 5 | 1.800 | 567.742 | Pycnic | |||||||
35\74 | 7 | 4 | 1.750 | 567.568 | ||||||||
26\55 | 5 | 3 | 1.667 | 567.273 | ||||||||
43\91 | 8 | 5 | 1.600 | 567.033 | Liesel | |||||||
17\36 | 3 | 2 | 1.500 | 566.667 | ||||||||
42\89 | 7 | 5 | 1.400 | 566.292 | ||||||||
25\53 | 4 | 3 | 1.333 | 566.038 | Tricot | |||||||
33\70 | 5 | 4 | 1.250 | 565.714 | ||||||||
41\87 | 6 | 5 | 1.200 | 565.517 | ||||||||
49\104 | 7 | 6 | 1.167 | 565.385 | ||||||||
57\121 | 8 | 7 | 1.143 | 565.289 | ||||||||
8\17 | 1 | 1 | 1.000 | 564.706 |