17L 14s
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Brightest mode
LLsLsLsLsLLsLsLsLsLsLLsLsLsLsLs
Period
2/1
Range for bright generator
20\31 (774.2¢) to 11\17 (776.5¢)
Range for dark generator
6\17 (423.5¢) to 11\31 (425.8¢)
Parent MOS
14L 3s
Sister MOS
14L 17s
Daughter MOSes
31L 17s, 17L 31s
Equal tunings
Supersoft (L:s = 4:3)
71\110 (774.5¢)
Soft (L:s = 3:2)
51\79 (774.7¢)
Semisoft (L:s = 5:3)
82\127 (774.8¢)
Basic (L:s = 2:1)
31\48 (775¢)
Semihard (L:s = 5:2)
73\113 (775.2¢)
Hard (L:s = 3:1)
42\65 (775.4¢)
Superhard (L:s = 4:1)
53\82 (775.6¢)
Brightest-mode tunings on xenpaper
Supersoft Soft Semisoft Basic Semihard Hard Superhard
↖16L 13s | ↑17L 13s | 18L 13s↗ |
←16L 14s | 17L 14s | 18L 14s→ |
↙16L 15s | ↓17L 15s | 18L 15s↘ |
17L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 14 small steps, repeating every octave. 17L 14s is related to 3L 5s, expanding it by 23 tones. Generators that produce this scale range from 774.2¢ to 776.5¢, or from 423.5¢ to 425.8¢.
Modes
UDP | Rotational order | Step pattern |
---|---|---|
30|0 | 1 | LLsLsLsLsLLsLsLsLsLsLLsLsLsLsLs |
29|1 | 21 | LLsLsLsLsLsLLsLsLsLsLLsLsLsLsLs |
28|2 | 10 | LLsLsLsLsLsLLsLsLsLsLsLLsLsLsLs |
27|3 | 30 | LsLLsLsLsLsLLsLsLsLsLsLLsLsLsLs |
26|4 | 19 | LsLLsLsLsLsLsLLsLsLsLsLLsLsLsLs |
25|5 | 8 | LsLLsLsLsLsLsLLsLsLsLsLsLLsLsLs |
24|6 | 28 | LsLsLLsLsLsLsLLsLsLsLsLsLLsLsLs |
23|7 | 17 | LsLsLLsLsLsLsLsLLsLsLsLsLLsLsLs |
22|8 | 6 | LsLsLLsLsLsLsLsLLsLsLsLsLsLLsLs |
21|9 | 26 | LsLsLsLLsLsLsLsLLsLsLsLsLsLLsLs |
20|10 | 15 | LsLsLsLLsLsLsLsLsLLsLsLsLsLLsLs |
19|11 | 4 | LsLsLsLLsLsLsLsLsLLsLsLsLsLsLLs |
18|12 | 24 | LsLsLsLsLLsLsLsLsLLsLsLsLsLsLLs |
17|13 | 13 | LsLsLsLsLLsLsLsLsLsLLsLsLsLsLLs |
16|14 | 2 | LsLsLsLsLLsLsLsLsLsLLsLsLsLsLsL |
15|15 | 22 | LsLsLsLsLsLLsLsLsLsLLsLsLsLsLsL |
14|16 | 11 | LsLsLsLsLsLLsLsLsLsLsLLsLsLsLsL |
13|17 | 31 | sLLsLsLsLsLLsLsLsLsLsLLsLsLsLsL |
12|18 | 20 | sLLsLsLsLsLsLLsLsLsLsLLsLsLsLsL |
11|19 | 9 | sLLsLsLsLsLsLLsLsLsLsLsLLsLsLsL |
10|20 | 29 | sLsLLsLsLsLsLLsLsLsLsLsLLsLsLsL |
9|21 | 18 | sLsLLsLsLsLsLsLLsLsLsLsLLsLsLsL |
8|22 | 7 | sLsLLsLsLsLsLsLLsLsLsLsLsLLsLsL |
7|23 | 27 | sLsLsLLsLsLsLsLLsLsLsLsLsLLsLsL |
6|24 | 16 | sLsLsLLsLsLsLsLsLLsLsLsLsLLsLsL |
5|25 | 5 | sLsLsLLsLsLsLsLsLLsLsLsLsLsLLsL |
4|26 | 25 | sLsLsLsLLsLsLsLsLLsLsLsLsLsLLsL |
3|27 | 14 | sLsLsLsLLsLsLsLsLsLLsLsLsLsLLsL |
2|28 | 3 | sLsLsLsLLsLsLsLsLsLLsLsLsLsLsLL |
1|29 | 23 | sLsLsLsLsLLsLsLsLsLLsLsLsLsLsLL |
0|30 | 12 | sLsLsLsLsLLsLsLsLsLsLLsLsLsLsLL |
Scale tree
Generator (in steps of edo) | Cents | Step ratio | Comments | |||||||
---|---|---|---|---|---|---|---|---|---|---|
Bright | Dark | L:s | Hardness | |||||||
20\31 | 774.194 | 425.806 | 1:1 | 1.000 | Equalized 17L 14s | |||||
111\172 | 774.419 | 425.581 | 6:5 | 1.200 | ||||||
91\141 | 774.468 | 425.532 | 5:4 | 1.250 | ||||||
162\251 | 774.502 | 425.498 | 9:7 | 1.286 | ||||||
71\110 | 774.545 | 425.455 | 4:3 | 1.333 | Supersoft 17L 14s | |||||
193\299 | 774.582 | 425.418 | 11:8 | 1.375 | ||||||
122\189 | 774.603 | 425.397 | 7:5 | 1.400 | ||||||
173\268 | 774.627 | 425.373 | 10:7 | 1.429 | ||||||
51\79 | 774.684 | 425.316 | 3:2 | 1.500 | Soft 17L 14s | |||||
184\285 | 774.737 | 425.263 | 11:7 | 1.571 | ||||||
133\206 | 774.757 | 425.243 | 8:5 | 1.600 | ||||||
215\333 | 774.775 | 425.225 | 13:8 | 1.625 | ||||||
82\127 | 774.803 | 425.197 | 5:3 | 1.667 | Semisoft 17L 14s | |||||
195\302 | 774.834 | 425.166 | 12:7 | 1.714 | ||||||
113\175 | 774.857 | 425.143 | 7:4 | 1.750 | ||||||
144\223 | 774.888 | 425.112 | 9:5 | 1.800 | ||||||
31\48 | 775.000 | 425.000 | 2:1 | 2.000 | Basic 17L 14s Scales with tunings softer than this are proper | |||||
135\209 | 775.120 | 424.880 | 9:4 | 2.250 | ||||||
104\161 | 775.155 | 424.845 | 7:3 | 2.333 | ||||||
177\274 | 775.182 | 424.818 | 12:5 | 2.400 | ||||||
73\113 | 775.221 | 424.779 | 5:2 | 2.500 | Semihard 17L 14s | |||||
188\291 | 775.258 | 424.742 | 13:5 | 2.600 | ||||||
115\178 | 775.281 | 424.719 | 8:3 | 2.667 | ||||||
157\243 | 775.309 | 424.691 | 11:4 | 2.750 | ||||||
42\65 | 775.385 | 424.615 | 3:1 | 3.000 | Hard 17L 14s | |||||
137\212 | 775.472 | 424.528 | 10:3 | 3.333 | ||||||
95\147 | 775.510 | 424.490 | 7:2 | 3.500 | ||||||
148\229 | 775.546 | 424.454 | 11:3 | 3.667 | ||||||
53\82 | 775.610 | 424.390 | 4:1 | 4.000 | Superhard 17L 14s | |||||
117\181 | 775.691 | 424.309 | 9:2 | 4.500 | ||||||
64\99 | 775.758 | 424.242 | 5:1 | 5.000 | ||||||
75\116 | 775.862 | 424.138 | 6:1 | 6.000 | ||||||
11\17 | 776.471 | 423.529 | 1:0 | → ∞ | Collapsed 17L 14s |
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