17L 7s

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Revision as of 06:08, 30 January 2024 by BudjarnLambeth (talk | contribs) ({{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum ==)
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↖ 16L 6s ↑ 17L 6s 18L 6s ↗
← 16L 7s 17L 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
Related to 7L 3s (dicoid)
With tunings 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 ¢)
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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 Cyclic
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

Tuning spectrum

generator L s L/s gen (cents) comment
5\17 1 0 352.941
47\160 9 1 9.000 352.500
42\143 8 1 8.000 352.448
37\126 7 1 7.000 352.381
32\109 6 1 6.000 352.294
27\92 5 1 5.000 352.174
49\167 9 2 4.500 352.096
22\75 4 1 4.000 352.000
39\133 7 2 3.500 351.880
56\191 10 3 3.333 351.832
17\58 3 1 3.000 351.724
46\157 8 3 2.667 351.592
29\99 5 2 2.500 351.515
41\140 7 3 2.333 351.429
53\181 9 4 2.250 351.381
12\41 2 1 2.000 351.220
55\188 9 5 1.800 351.064
43\147 7 4 1.750 351.020
31\106 5 3 1.667 350.943
50\171 8 5 1.600 350.877
19\65 3 2 1.500 350.769
45\154 7 5 1.400 350.649
26\89 4 3 1.333 350.562
33\113 5 4 1.250 350.442
40\137 6 5 1.200 350.365
47\161 7 6 1.167 350.311
54\185 8 7 1.143 350.270
61\209 9 8 1.125 350.239
7\24 1 1 1.000 350.000