4L 16s
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Scale structure
Step pattern
LssssLssssLssssLssss
ssssLssssLssssLssssL
Equave
2/1 (1200.0¢)
Period
1\4 (300.0¢)
Generator size
Bright
4\20 to 1\4 (240.0¢ to 300.0¢)
Dark
0\4 to 1\20 (0.0¢ to 60.0¢)
TAMNAMS information
Descends from
4L 4s (tetrawood)
Ancestor's step ratio range
4:1 to 1:0 (ultrahard)
Related MOS scales
Parent
4L 12s
Sister
16L 4s
Daughters
20L 4s, 4L 20s
Neutralized
8L 12s
2-Flought
24L 16s, 4L 36s
Equal tunings
Equalized (L:s = 1:1)
4\20 (240.0¢)
Supersoft (L:s = 4:3)
13\64 (243.8¢)
Soft (L:s = 3:2)
9\44 (245.5¢)
Semisoft (L:s = 5:3)
14\68 (247.1¢)
Basic (L:s = 2:1)
5\24 (250.0¢)
Semihard (L:s = 5:2)
11\52 (253.8¢)
Hard (L:s = 3:1)
6\28 (257.1¢)
Superhard (L:s = 4:1)
7\32 (262.5¢)
Collapsed (L:s = 1:0)
1\4 (300.0¢)
| ↖ 3L 15s | ↑ 4L 15s | 5L 15s ↗ |
| ← 3L 16s | 4L 16s | 5L 16s → |
| ↙ 3L 17s | ↓ 4L 17s | 5L 17s ↘ |
┌╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬┐ │║││││║││││║││││║│││││ ││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssssLssssLssssLssssL
4L 16s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 16 small steps, with a period of 1 large step and 4 small steps that repeats every 300.0¢, or 4 times every octave. 4L 16s is a great-grandchild scale of 4L 4s, expanding it by 12 tones. Generators that produce this scale range from 240¢ to 300¢, or from 0¢ to 60¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 16|0(4) | 1 | LssssLssssLssssLssss |
| 12|4(4) | 5 | sLssssLssssLssssLsss |
| 8|8(4) | 4 | ssLssssLssssLssssLss |
| 4|12(4) | 3 | sssLssssLssssLssssLs |
| 0|16(4) | 2 | ssssLssssLssssLssssL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 4\20 | 240.000 | 60.000 | 1:1 | 1.000 | Equalized 4L 16s | |||||
| 21\104 | 242.308 | 57.692 | 6:5 | 1.200 | ||||||
| 17\84 | 242.857 | 57.143 | 5:4 | 1.250 | ||||||
| 30\148 | 243.243 | 56.757 | 9:7 | 1.286 | ||||||
| 13\64 | 243.750 | 56.250 | 4:3 | 1.333 | Supersoft 4L 16s | |||||
| 35\172 | 244.186 | 55.814 | 11:8 | 1.375 | ||||||
| 22\108 | 244.444 | 55.556 | 7:5 | 1.400 | ||||||
| 31\152 | 244.737 | 55.263 | 10:7 | 1.429 | ||||||
| 9\44 | 245.455 | 54.545 | 3:2 | 1.500 | Soft 4L 16s | |||||
| 32\156 | 246.154 | 53.846 | 11:7 | 1.571 | ||||||
| 23\112 | 246.429 | 53.571 | 8:5 | 1.600 | ||||||
| 37\180 | 246.667 | 53.333 | 13:8 | 1.625 | ||||||
| 14\68 | 247.059 | 52.941 | 5:3 | 1.667 | Semisoft 4L 16s | |||||
| 33\160 | 247.500 | 52.500 | 12:7 | 1.714 | ||||||
| 19\92 | 247.826 | 52.174 | 7:4 | 1.750 | ||||||
| 24\116 | 248.276 | 51.724 | 9:5 | 1.800 | ||||||
| 5\24 | 250.000 | 50.000 | 2:1 | 2.000 | Basic 4L 16s Scales with tunings softer than this are proper | |||||
| 21\100 | 252.000 | 48.000 | 9:4 | 2.250 | ||||||
| 16\76 | 252.632 | 47.368 | 7:3 | 2.333 | ||||||
| 27\128 | 253.125 | 46.875 | 12:5 | 2.400 | ||||||
| 11\52 | 253.846 | 46.154 | 5:2 | 2.500 | Semihard 4L 16s | |||||
| 28\132 | 254.545 | 45.455 | 13:5 | 2.600 | ||||||
| 17\80 | 255.000 | 45.000 | 8:3 | 2.667 | ||||||
| 23\108 | 255.556 | 44.444 | 11:4 | 2.750 | ||||||
| 6\28 | 257.143 | 42.857 | 3:1 | 3.000 | Hard 4L 16s | |||||
| 19\88 | 259.091 | 40.909 | 10:3 | 3.333 | ||||||
| 13\60 | 260.000 | 40.000 | 7:2 | 3.500 | ||||||
| 20\92 | 260.870 | 39.130 | 11:3 | 3.667 | ||||||
| 7\32 | 262.500 | 37.500 | 4:1 | 4.000 | Superhard 4L 16s | |||||
| 15\68 | 264.706 | 35.294 | 9:2 | 4.500 | ||||||
| 8\36 | 266.667 | 33.333 | 5:1 | 5.000 | ||||||
| 9\40 | 270.000 | 30.000 | 6:1 | 6.000 | ||||||
| 1\4 | 300.000 | 0.000 | 1:0 | → ∞ | Collapsed 4L 16s | |||||