17L 2s

Revision as of 06:05, 30 January 2024 by BudjarnLambeth (talk | contribs) ({{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum ==)
↖ 16L 1s ↑ 17L 1s 18L 1s ↗
← 16L 2s 17L 2s 18L 2s →
↙ 16L 3s ↓ 17L 3s 18L 3s ↘
┌╥╥╥╥╥╥╥╥╥┬╥╥╥╥╥╥╥╥┬┐
│║║║║║║║║║│║║║║║║║║││
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└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLLLLLLsLLLLLLLLs
sLLLLLLLLsLLLLLLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 10\19 to 9\17 (631.6 ¢ to 635.3 ¢)
Dark 8\17 to 9\19 (564.7 ¢ to 568.4 ¢)
TAMNAMS information
Related to 2L 7s (balzano)
With tunings 5:1 to 6:1
Related MOS scales
Parent 2L 15s
Sister 2L 17s
Daughters 19L 17s, 17L 19s
Neutralized 15L 4s
2-Flought 36L 2s, 17L 21s
Equal tunings
Equalized (L:s = 1:1) 10\19 (631.6 ¢)
Supersoft (L:s = 4:3) 39\74 (632.4 ¢)
Soft (L:s = 3:2) 29\55 (632.7 ¢)
Semisoft (L:s = 5:3) 48\91 (633.0 ¢)
Basic (L:s = 2:1) 19\36 (633.3 ¢)
Semihard (L:s = 5:2) 47\89 (633.7 ¢)
Hard (L:s = 3:1) 28\53 (634.0 ¢)
Superhard (L:s = 4:1) 37\70 (634.3 ¢)
Collapsed (L:s = 1:0) 9\17 (635.3 ¢)

17L 2s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 2 small steps, repeating every octave. 17L 2s is related to 2L 7s, expanding it by 10 tones. Generators that produce this scale range from 631.6 ¢ to 635.3 ¢, or from 564.7 ¢ to 568.4 ¢.

Modes

Modes of 17L 2s
UDP Cyclic
order
Step
pattern
18|0 1 LLLLLLLLLsLLLLLLLLs
17|1 11 LLLLLLLLsLLLLLLLLLs
16|2 2 LLLLLLLLsLLLLLLLLsL
15|3 12 LLLLLLLsLLLLLLLLLsL
14|4 3 LLLLLLLsLLLLLLLLsLL
13|5 13 LLLLLLsLLLLLLLLLsLL
12|6 4 LLLLLLsLLLLLLLLsLLL
11|7 14 LLLLLsLLLLLLLLLsLLL
10|8 5 LLLLLsLLLLLLLLsLLLL
9|9 15 LLLLsLLLLLLLLLsLLLL
8|10 6 LLLLsLLLLLLLLsLLLLL
7|11 16 LLLsLLLLLLLLLsLLLLL
6|12 7 LLLsLLLLLLLLsLLLLLL
5|13 17 LLsLLLLLLLLLsLLLLLL
4|14 8 LLsLLLLLLLLsLLLLLLL
3|15 18 LsLLLLLLLLLsLLLLLLL
2|16 9 LsLLLLLLLLsLLLLLLLL
1|17 19 sLLLLLLLLLsLLLLLLLL
0|18 10 sLLLLLLLLsLLLLLLLLL

Tuning spectrum

generator L s L/s gen (cents) comment
8\17 1 0 564.706
73\155 9 1 9.000 565.161
65\138 8 1 8.000 565.217
57\121 7 1 7.000 565.289
49\104 6 1 6.000 565.385
90\191 11 2 5.500 565.445
41\87 5 1 5.000 565.517
74\157 9 2 4.500 565.605
33\70 4 1 4.000 565.714
91\193 11 3 3.667 565.803
58\123 7 2 3.500 565.854
83\176 10 3 3.333 565.909
25\53 3 1 3.000 566.038
92\195 11 4 2.750 566.154
67\142 8 3 2.667 566.197
42\89 5 2 2.500 566.292
59\125 7 3 2.333 566.400
76\161 9 4 2.250 566.460
93\197 11 5 2.200 566.497
17\36 2 1 2.000 566.667
94\199 11 6 1.833 566.834
77\163 9 5 1.800 566.871
60\127 7 4 1.750 566.929
43\91 5 3 1.667 567.033
69\146 8 5 1.600 567.123
26\55 3 2 1.500 567.273
87\184 10 7 1.429 567.391
61\129 7 5 1.400 567.442
35\74 4 3 1.333 567.568
79\167 9 7 1.286 567.665
44\93 5 4 1.250 567.742
53\112 6 5 1.200 567.857
62\131 7 6 1.167 567.939
71\150 8 7 1.143 568.000
80\169 9 8 1.125 568.047
9\19 1 1 1.000 568.421