1L 16s
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Scale structure
Step pattern
Lssssssssssssssss
ssssssssssssssssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
16\17 to 1\1 (1129.4¢ to 1200.0¢)
Dark
0\1 to 1\17 (0.0¢ to 70.6¢)
TAMNAMS information
Descends from
1L 9s (antisinatonic)
Ancestor's step ratio range
8:1 to 1:0
Related MOS scales
Parent
1L 15s
Sister
16L 1s
Daughters
17L 1s, 1L 17s
Neutralized
2L 15s
2-Flought
18L 16s, 1L 33s
Equal tunings
Equalized (L:s = 1:1)
16\17 (1129.4¢)
Supersoft (L:s = 4:3)
49\52 (1130.8¢)
Soft (L:s = 3:2)
33\35 (1131.4¢)
Semisoft (L:s = 5:3)
50\53 (1132.1¢)
Basic (L:s = 2:1)
17\18 (1133.3¢)
Semihard (L:s = 5:2)
35\37 (1135.1¢)
Hard (L:s = 3:1)
18\19 (1136.8¢)
Superhard (L:s = 4:1)
19\20 (1140.0¢)
Collapsed (L:s = 1:0)
1\1 (1200.0¢)
| ↑ 1L 15s | 2L 15s ↗ | |
| 1L 16s | 2L 16s → | |
| ↓ 1L 17s | 2L 17s ↘ |
┌╥┬┬┬┬┬┬┬┬┬┬┬┬┬┬┬┬┐ │║│││││││││││││││││ │││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssssssssssssssssL
1L 16s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 16 small steps, repeating every octave. 1L 16s is related to 1L 9s, expanding it by 7 tones. Generators that produce this scale range from 1129.4¢ to 1200¢, or from 0¢ to 70.6¢.
Modes
| UDP | Cyclic Order |
Step Pattern |
|---|---|---|
| 16|0 | 1 | Lssssssssssssssss |
| 15|1 | 17 | sLsssssssssssssss |
| 14|2 | 16 | ssLssssssssssssss |
| 13|3 | 15 | sssLsssssssssssss |
| 12|4 | 14 | ssssLssssssssssss |
| 11|5 | 13 | sssssLsssssssssss |
| 10|6 | 12 | ssssssLssssssssss |
| 9|7 | 11 | sssssssLsssssssss |
| 8|8 | 10 | ssssssssLssssssss |
| 7|9 | 9 | sssssssssLsssssss |
| 6|10 | 8 | ssssssssssLssssss |
| 5|11 | 7 | sssssssssssLsssss |
| 4|12 | 6 | ssssssssssssLssss |
| 3|13 | 5 | sssssssssssssLsss |
| 2|14 | 4 | ssssssssssssssLss |
| 1|15 | 3 | sssssssssssssssLs |
| 0|16 | 2 | ssssssssssssssssL |
Scale tree
| Generator(edo) | Cents | Step Ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 16\17 | 1129.412 | 70.588 | 1:1 | 1.000 | Equalized 1L 16s | |||||
| 81\86 | 1130.233 | 69.767 | 6:5 | 1.200 | ||||||
| 65\69 | 1130.435 | 69.565 | 5:4 | 1.250 | ||||||
| 114\121 | 1130.579 | 69.421 | 9:7 | 1.286 | ||||||
| 49\52 | 1130.769 | 69.231 | 4:3 | 1.333 | Supersoft 1L 16s | |||||
| 131\139 | 1130.935 | 69.065 | 11:8 | 1.375 | ||||||
| 82\87 | 1131.034 | 68.966 | 7:5 | 1.400 | ||||||
| 115\122 | 1131.148 | 68.852 | 10:7 | 1.429 | ||||||
| 33\35 | 1131.429 | 68.571 | 3:2 | 1.500 | Soft 1L 16s | |||||
| 116\123 | 1131.707 | 68.293 | 11:7 | 1.571 | ||||||
| 83\88 | 1131.818 | 68.182 | 8:5 | 1.600 | ||||||
| 133\141 | 1131.915 | 68.085 | 13:8 | 1.625 | ||||||
| 50\53 | 1132.075 | 67.925 | 5:3 | 1.667 | Semisoft 1L 16s | |||||
| 117\124 | 1132.258 | 67.742 | 12:7 | 1.714 | ||||||
| 67\71 | 1132.394 | 67.606 | 7:4 | 1.750 | ||||||
| 84\89 | 1132.584 | 67.416 | 9:5 | 1.800 | ||||||
| 17\18 | 1133.333 | 66.667 | 2:1 | 2.000 | Basic 1L 16s Scales with tunings softer than this are proper | |||||
| 69\73 | 1134.247 | 65.753 | 9:4 | 2.250 | ||||||
| 52\55 | 1134.545 | 65.455 | 7:3 | 2.333 | ||||||
| 87\92 | 1134.783 | 65.217 | 12:5 | 2.400 | ||||||
| 35\37 | 1135.135 | 64.865 | 5:2 | 2.500 | Semihard 1L 16s | |||||
| 88\93 | 1135.484 | 64.516 | 13:5 | 2.600 | ||||||
| 53\56 | 1135.714 | 64.286 | 8:3 | 2.667 | ||||||
| 71\75 | 1136.000 | 64.000 | 11:4 | 2.750 | ||||||
| 18\19 | 1136.842 | 63.158 | 3:1 | 3.000 | Hard 1L 16s | |||||
| 55\58 | 1137.931 | 62.069 | 10:3 | 3.333 | ||||||
| 37\39 | 1138.462 | 61.538 | 7:2 | 3.500 | ||||||
| 56\59 | 1138.983 | 61.017 | 11:3 | 3.667 | ||||||
| 19\20 | 1140.000 | 60.000 | 4:1 | 4.000 | Superhard 1L 16s | |||||
| 39\41 | 1141.463 | 58.537 | 9:2 | 4.500 | ||||||
| 20\21 | 1142.857 | 57.143 | 5:1 | 5.000 | ||||||
| 21\22 | 1145.455 | 54.545 | 6:1 | 6.000 | ||||||
| 1\1 | 1200.000 | 0.000 | 1:0 | → ∞ | Collapsed 1L 16s | |||||