17L 7s
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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)
Ancestor's 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¢)
| ↖ 16L 6s | ↑ 17L 6s | 18L 6s ↗ |
| ← 16L 7s | 17L 7s | 18L 7s → |
| ↙ 16L 8s | ↓ 17L 8s | 18L 8s ↘ |
┌╥╥╥┬╥╥┬╥╥╥┬╥╥┬╥╥╥┬╥╥┬╥╥┬┐ │║║║│║║│║║║│║║│║║║│║║│║║││ ││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLsLLsLLLsLLsLLLsLLsLLL
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
| 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 |
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-mosstep | Perfect 0-mosstep | P0ms | 0 | 0.0¢ |
| 1-mosstep | Minor 1-mosstep | m1ms | s | 0.0¢ to 50.0¢ |
| Major 1-mosstep | M1ms | L | 50.0¢ to 70.6¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | L + s | 70.6¢ to 100.0¢ |
| Major 2-mosstep | M2ms | 2L | 100.0¢ to 141.2¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | 2L + s | 141.2¢ to 150.0¢ |
| Major 3-mosstep | M3ms | 3L | 150.0¢ to 211.8¢ | |
| 4-mosstep | Minor 4-mosstep | m4ms | 2L + 2s | 141.2¢ to 200.0¢ |
| Major 4-mosstep | M4ms | 3L + s | 200.0¢ to 211.8¢ | |
| 5-mosstep | Minor 5-mosstep | m5ms | 3L + 2s | 211.8¢ to 250.0¢ |
| Major 5-mosstep | M5ms | 4L + s | 250.0¢ to 282.4¢ | |
| 6-mosstep | Minor 6-mosstep | m6ms | 4L + 2s | 282.4¢ to 300.0¢ |
| Major 6-mosstep | M6ms | 5L + s | 300.0¢ to 352.9¢ | |
| 7-mosstep | Diminished 7-mosstep | d7ms | 4L + 3s | 282.4¢ to 350.0¢ |
| Perfect 7-mosstep | P7ms | 5L + 2s | 350.0¢ to 352.9¢ | |
| 8-mosstep | Minor 8-mosstep | m8ms | 5L + 3s | 352.9¢ to 400.0¢ |
| Major 8-mosstep | M8ms | 6L + 2s | 400.0¢ to 423.5¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | 6L + 3s | 423.5¢ to 450.0¢ |
| Major 9-mosstep | M9ms | 7L + 2s | 450.0¢ to 494.1¢ | |
| 10-mosstep | Minor 10-mosstep | m10ms | 7L + 3s | 494.1¢ to 500.0¢ |
| Major 10-mosstep | M10ms | 8L + 2s | 500.0¢ to 564.7¢ | |
| 11-mosstep | Minor 11-mosstep | m11ms | 7L + 4s | 494.1¢ to 550.0¢ |
| Major 11-mosstep | M11ms | 8L + 3s | 550.0¢ to 564.7¢ | |
| 12-mosstep | Minor 12-mosstep | m12ms | 8L + 4s | 564.7¢ to 600.0¢ |
| Major 12-mosstep | M12ms | 9L + 3s | 600.0¢ to 635.3¢ | |
| 13-mosstep | Minor 13-mosstep | m13ms | 9L + 4s | 635.3¢ to 650.0¢ |
| Major 13-mosstep | M13ms | 10L + 3s | 650.0¢ to 705.9¢ | |
| 14-mosstep | Minor 14-mosstep | m14ms | 9L + 5s | 635.3¢ to 700.0¢ |
| Major 14-mosstep | M14ms | 10L + 4s | 700.0¢ to 705.9¢ | |
| 15-mosstep | Minor 15-mosstep | m15ms | 10L + 5s | 705.9¢ to 750.0¢ |
| Major 15-mosstep | M15ms | 11L + 4s | 750.0¢ to 776.5¢ | |
| 16-mosstep | Minor 16-mosstep | m16ms | 11L + 5s | 776.5¢ to 800.0¢ |
| Major 16-mosstep | M16ms | 12L + 4s | 800.0¢ to 847.1¢ | |
| 17-mosstep | Perfect 17-mosstep | P17ms | 12L + 5s | 847.1¢ to 850.0¢ |
| Augmented 17-mosstep | A17ms | 13L + 4s | 850.0¢ to 917.6¢ | |
| 18-mosstep | Minor 18-mosstep | m18ms | 12L + 6s | 847.1¢ to 900.0¢ |
| Major 18-mosstep | M18ms | 13L + 5s | 900.0¢ to 917.6¢ | |
| 19-mosstep | Minor 19-mosstep | m19ms | 13L + 6s | 917.6¢ to 950.0¢ |
| Major 19-mosstep | M19ms | 14L + 5s | 950.0¢ to 988.2¢ | |
| 20-mosstep | Minor 20-mosstep | m20ms | 14L + 6s | 988.2¢ to 1000.0¢ |
| Major 20-mosstep | M20ms | 15L + 5s | 1000.0¢ to 1058.8¢ | |
| 21-mosstep | Minor 21-mosstep | m21ms | 14L + 7s | 988.2¢ to 1050.0¢ |
| Major 21-mosstep | M21ms | 15L + 6s | 1050.0¢ to 1058.8¢ | |
| 22-mosstep | Minor 22-mosstep | m22ms | 15L + 7s | 1058.8¢ to 1100.0¢ |
| Major 22-mosstep | M22ms | 16L + 6s | 1100.0¢ to 1129.4¢ | |
| 23-mosstep | Minor 23-mosstep | m23ms | 16L + 7s | 1129.4¢ to 1150.0¢ |
| Major 23-mosstep | M23ms | 17L + 6s | 1150.0¢ to 1200.0¢ | |
| 24-mosstep | Perfect 24-mosstep | P24ms | 17L + 7s | 1200.0¢ |
Scale tree
| 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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