7L 17s
7L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 17 small steps, repeating every octave. 7L 17s is a grandchild scale of 7L 3s, expanding it by 14 tones. Generators that produce this scale range from 850 ¢ to 857.1 ¢, or from 342.9 ¢ to 350 ¢. The dark generator serves as an approximate 11/9 (347¢), with 11\38 – the low estimate for the boundary of "practicality" – giving this ratio almost exactly.
| ↖ 6L 16s | ↑ 7L 16s | 8L 16s ↗ |
| ← 6L 17s | 7L 17s | 8L 17s → |
| ↙ 6L 18s | ↓ 7L 18s | 8L 18s ↘ |
Scale structure
sssLssLsssLssLsssLssLssL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
Notable harmonic entropy minima are mohajira and migration, two alternative extensions of the 2.3.5.11 temperament mohaha to the full 11-limit, merging in 31edo.
| Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead.
Details: Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: {{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}
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| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 17\24 | 850.000 | 350.000 | 1:1 | 1.000 | Equalized 7L 17s | |||||
| 90\127 | 850.394 | 349.606 | 6:5 | 1.200 | ||||||
| 73\103 | 850.485 | 349.515 | 5:4 | 1.250 | ||||||
| 129\182 | 850.549 | 349.451 | 9:7 | 1.286 | ||||||
| 56\79 | 850.633 | 349.367 | 4:3 | 1.333 | Supersoft 7L 17s | |||||
| 151\213 | 850.704 | 349.296 | 11:8 | 1.375 | ||||||
| 95\134 | 850.746 | 349.254 | 7:5 | 1.400 | ||||||
| 134\189 | 850.794 | 349.206 | 10:7 | 1.429 | ||||||
| 39\55 | 850.909 | 349.091 | 3:2 | 1.500 | Soft 7L 17s | |||||
| 139\196 | 851.020 | 348.980 | 11:7 | 1.571 | ||||||
| 100\141 | 851.064 | 348.936 | 8:5 | 1.600 | ||||||
| 161\227 | 851.101 | 348.899 | 13:8 | 1.625 | ||||||
| 61\86 | 851.163 | 348.837 | 5:3 | 1.667 | Semisoft 7L 17s | |||||
| 144\203 | 851.232 | 348.768 | 12:7 | 1.714 | ||||||
| 83\117 | 851.282 | 348.718 | 7:4 | 1.750 | ||||||
| 105\148 | 851.351 | 348.649 | 9:5 | 1.800 | ||||||
| 22\31 | 851.613 | 348.387 | 2:1 | 2.000 | Basic 7L 17s Scales with tunings softer than this are proper | |||||
| 93\131 | 851.908 | 348.092 | 9:4 | 2.250 | ||||||
| 71\100 | 852.000 | 348.000 | 7:3 | 2.333 | ||||||
| 120\169 | 852.071 | 347.929 | 12:5 | 2.400 | ||||||
| 49\69 | 852.174 | 347.826 | 5:2 | 2.500 | Semihard 7L 17s | |||||
| 125\176 | 852.273 | 347.727 | 13:5 | 2.600 | ||||||
| 76\107 | 852.336 | 347.664 | 8:3 | 2.667 | ||||||
| 103\145 | 852.414 | 347.586 | 11:4 | 2.750 | ||||||
| 27\38 | 852.632 | 347.368 | 3:1 | 3.000 | Hard 7L 17s | |||||
| 86\121 | 852.893 | 347.107 | 10:3 | 3.333 | ||||||
| 59\83 | 853.012 | 346.988 | 7:2 | 3.500 | ||||||
| 91\128 | 853.125 | 346.875 | 11:3 | 3.667 | ||||||
| 32\45 | 853.333 | 346.667 | 4:1 | 4.000 | Superhard 7L 17s | |||||
| 69\97 | 853.608 | 346.392 | 9:2 | 4.500 | ||||||
| 37\52 | 853.846 | 346.154 | 5:1 | 5.000 | ||||||
| 42\59 | 854.237 | 345.763 | 6:1 | 6.000 | ||||||
| 5\7 | 857.143 | 342.857 | 1:0 | → ∞ | Collapsed 7L 17s | |||||