17L 7s

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↖ 16L 6s ↑17L 6s 18L 6s ↗
← 16L 7s17L 7s 18L 7s →
↙ 16L 8s ↓17L 8s 18L 8s ↘
┌╥╥╥┬╥╥┬╥╥╥┬╥╥┬╥╥╥┬╥╥┬╥╥┬┐
│║║║│║║│║║║│║║│║║║│║║│║║││
││││││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLsLLsLLLsLLsLLLsLLsLLs
sLLsLLsLLLsLLsLLLsLLsLLL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 7\24 to 5\17 (350.0¢ to 352.9¢)
Dark 12\17 to 17\24 (847.1¢ to 850.0¢)
TAMNAMS information
Descends from 7L 3s (dicoid)
Required step ratio range 2:1 to 3:1 (hypohard)
Related MOS scales
Parent 7L 10s
Sister 7L 17s
Daughters 24L 17s, 17L 24s
Neutralized 10L 14s
2-Flought 41L 7s, 17L 31s
Equal tunings
Equalized (L:s = 1:1) 7\24 (350.0¢)
Supersoft (L:s = 4:3) 26\89 (350.6¢)
Soft (L:s = 3:2) 19\65 (350.8¢)
Semisoft (L:s = 5:3) 31\106 (350.9¢)
Basic (L:s = 2:1) 12\41 (351.2¢)
Semihard (L:s = 5:2) 29\99 (351.5¢)
Hard (L:s = 3:1) 17\58 (351.7¢)
Superhard (L:s = 4:1) 22\75 (352.0¢)
Collapsed (L:s = 1:0) 5\17 (352.9¢)

17L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 7 small steps, repeating every octave. 17L 7s is a grandchild scale of 7L 3s, expanding it by 14 tones. Generators that produce this scale range from 350¢ to 352.9¢, or from 847.1¢ to 850¢.

Modes

Modes of 17L 7s
UDP Rotational order Step pattern
23|0 1 LLLsLLsLLLsLLsLLLsLLsLLs
22|1 8 LLLsLLsLLLsLLsLLsLLLsLLs
21|2 15 LLLsLLsLLsLLLsLLsLLLsLLs
20|3 22 LLsLLLsLLsLLLsLLsLLLsLLs
19|4 5 LLsLLLsLLsLLLsLLsLLsLLLs
18|5 12 LLsLLLsLLsLLsLLLsLLsLLLs
17|6 19 LLsLLsLLLsLLsLLLsLLsLLLs
16|7 2 LLsLLsLLLsLLsLLLsLLsLLsL
15|8 9 LLsLLsLLLsLLsLLsLLLsLLsL
14|9 16 LLsLLsLLsLLLsLLsLLLsLLsL
13|10 23 LsLLLsLLsLLLsLLsLLLsLLsL
12|11 6 LsLLLsLLsLLLsLLsLLsLLLsL
11|12 13 LsLLLsLLsLLsLLLsLLsLLLsL
10|13 20 LsLLsLLLsLLsLLLsLLsLLLsL
9|14 3 LsLLsLLLsLLsLLLsLLsLLsLL
8|15 10 LsLLsLLLsLLsLLsLLLsLLsLL
7|16 17 LsLLsLLsLLLsLLsLLLsLLsLL
6|17 24 sLLLsLLsLLLsLLsLLLsLLsLL
5|18 7 sLLLsLLsLLLsLLsLLsLLLsLL
4|19 14 sLLLsLLsLLsLLLsLLsLLLsLL
3|20 21 sLLsLLLsLLsLLLsLLsLLLsLL
2|21 4 sLLsLLLsLLsLLLsLLsLLsLLL
1|22 11 sLLsLLLsLLsLLsLLLsLLsLLL
0|23 18 sLLsLLsLLLsLLsLLLsLLsLLL

Scale tree

Scale Tree and Tuning Spectrum of 17L 7s
Generator(edo) Cents Step Ratio Comments
Bright Dark L:s Hardness
7\24 350.000 850.000 1:1 1.000 Equalized 17L 7s
40\137 350.365 849.635 6:5 1.200
33\113 350.442 849.558 5:4 1.250
59\202 350.495 849.505 9:7 1.286
26\89 350.562 849.438 4:3 1.333 Supersoft 17L 7s
71\243 350.617 849.383 11:8 1.375
45\154 350.649 849.351 7:5 1.400
64\219 350.685 849.315 10:7 1.429
19\65 350.769 849.231 3:2 1.500 Soft 17L 7s
69\236 350.847 849.153 11:7 1.571
50\171 350.877 849.123 8:5 1.600
81\277 350.903 849.097 13:8 1.625
31\106 350.943 849.057 5:3 1.667 Semisoft 17L 7s
74\253 350.988 849.012 12:7 1.714
43\147 351.020 848.980 7:4 1.750
55\188 351.064 848.936 9:5 1.800
12\41 351.220 848.780 2:1 2.000 Basic 17L 7s
Scales with tunings softer than this are proper
53\181 351.381 848.619 9:4 2.250
41\140 351.429 848.571 7:3 2.333
70\239 351.464 848.536 12:5 2.400
29\99 351.515 848.485 5:2 2.500 Semihard 17L 7s
75\256 351.562 848.438 13:5 2.600
46\157 351.592 848.408 8:3 2.667
63\215 351.628 848.372 11:4 2.750
17\58 351.724 848.276 3:1 3.000 Hard 17L 7s
56\191 351.832 848.168 10:3 3.333
39\133 351.880 848.120 7:2 3.500
61\208 351.923 848.077 11:3 3.667
22\75 352.000 848.000 4:1 4.000 Superhard 17L 7s
49\167 352.096 847.904 9:2 4.500
27\92 352.174 847.826 5:1 5.000
32\109 352.294 847.706 6:1 6.000
5\17 352.941 847.059 1:0 → ∞ Collapsed 17L 7s
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