5L 5s (3/1-equivalent)
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Scale structure
Step pattern
LsLsLsLsLs
sLsLsLsLsL
Equave
3/1 (1902.0¢)
Period
1\5edt (380.4¢)
Generator size(edt)
Bright
1\10 to 1\5 (190.2¢ to 380.4¢)
Dark
0\5 to 1\10 (0.0¢ to 190.2¢)
Related MOS scales
Parent
5L 0s⟨3/1⟩
Sister
5L 5s⟨3/1⟩
Daughters
10L 5s⟨3/1⟩, 5L 10s⟨3/1⟩
Neutralized
10L 0s⟨3/1⟩
2-Flought
15L 5s⟨3/1⟩, 5L 15s⟨3/1⟩
Equal tunings(edt)
Equalized (L:s = 1:1)
1\10 (190.2¢)
Supersoft (L:s = 4:3)
4\35 (217.4¢)
Soft (L:s = 3:2)
3\25 (228.2¢)
Semisoft (L:s = 5:3)
5\40 (237.7¢)
Basic (L:s = 2:1)
2\15 (253.6¢)
Semihard (L:s = 5:2)
5\35 (271.7¢)
Hard (L:s = 3:1)
3\20 (285.3¢)
Superhard (L:s = 4:1)
4\25 (304.3¢)
Collapsed (L:s = 1:0)
1\5 (380.4¢)
↖ 4L 4s⟨3/1⟩ | ↑ 5L 4s⟨3/1⟩ | 6L 4s⟨3/1⟩ ↗ |
← 4L 5s⟨3/1⟩ | 5L 5s (3/1-equivalent) | 6L 5s⟨3/1⟩ → |
↙ 4L 6s⟨3/1⟩ | ↓ 5L 6s⟨3/1⟩ | 6L 6s⟨3/1⟩ ↘ |
┌╥┬╥┬╥┬╥┬╥┬┐ │║│║│║│║│║││ ││││││││││││ └┴┴┴┴┴┴┴┴┴┴┘
sLsLsLsLsL
5L 5s⟨3/1⟩ is a 3/1-equivalent (tritave-equivalent) moment of symmetry scale containing 5 large steps and 5 small steps, with a period of 1 large step and 1 small step that repeats every 380.4¢, or 5 times every interval of 3/1 (1902.0¢). Generators that produce this scale range from 190.2¢ to 380.4¢, or from 0¢ to 190.2¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period. Its period can be interpreted as a 5/4 (~386¢) flattened by about 6¢.
Modes
UDP | Cyclic order |
Step pattern |
---|---|---|
5|0(5) | 1 | LsLsLsLsLs |
0|5(5) | 2 | sLsLsLsLsL |
Scale tree
Generator(edt) | Cents | Step ratio | Comments(always proper) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
Bright | Dark | L:s | Hardness | |||||||
1\10 | 190.196 | 190.196 | 1:1 | 1.000 | Equalized 5L 5s⟨3/1⟩ | |||||
6\55 | 207.486 | 172.905 | 6:5 | 1.200 | ||||||
5\45 | 211.328 | 169.063 | 5:4 | 1.250 | ||||||
9\80 | 213.970 | 166.421 | 9:7 | 1.286 | ||||||
4\35 | 217.366 | 163.025 | 4:3 | 1.333 | Supersoft 5L 5s⟨3/1⟩ | |||||
11\95 | 220.226 | 160.165 | 11:8 | 1.375 | ||||||
7\60 | 221.895 | 158.496 | 7:5 | 1.400 | ||||||
10\85 | 223.759 | 156.632 | 10:7 | 1.429 | ||||||
3\25 | 228.235 | 152.156 | 3:2 | 1.500 | Soft 5L 5s⟨3/1⟩ | |||||
11\90 | 232.461 | 147.930 | 11:7 | 1.571 | ||||||
8\65 | 234.087 | 146.304 | 8:5 | 1.600 | ||||||
13\105 | 235.480 | 144.911 | 13:8 | 1.625 | ||||||
5\40 | 237.744 | 142.647 | 5:3 | 1.667 | Semisoft 5L 5s⟨3/1⟩ | |||||
12\95 | 240.247 | 140.144 | 12:7 | 1.714 | ||||||
7\55 | 242.067 | 138.324 | 7:4 | 1.750 | ||||||
9\70 | 244.537 | 135.854 | 9:5 | 1.800 | ||||||
2\15 | 253.594 | 126.797 | 2:1 | 2.000 | Basic 5L 5s⟨3/1⟩ | |||||
9\65 | 263.348 | 117.043 | 9:4 | 2.250 | ||||||
7\50 | 266.274 | 114.117 | 7:3 | 2.333 | ||||||
12\85 | 268.511 | 111.880 | 12:5 | 2.400 | ||||||
5\35 | 271.708 | 108.683 | 5:2 | 2.500 | Semihard 5L 5s⟨3/1⟩ | |||||
13\90 | 274.727 | 105.664 | 13:5 | 2.600 | ||||||
8\55 | 276.648 | 103.743 | 8:3 | 2.667 | ||||||
11\75 | 278.953 | 101.438 | 11:4 | 2.750 | ||||||
3\20 | 285.293 | 95.098 | 3:1 | 3.000 | Hard 5L 5s⟨3/1⟩ | |||||
10\65 | 292.608 | 87.783 | 10:3 | 3.333 | ||||||
7\45 | 295.860 | 84.531 | 7:2 | 3.500 | ||||||
11\70 | 298.879 | 81.512 | 11:3 | 3.667 | ||||||
4\25 | 304.313 | 76.078 | 4:1 | 4.000 | Superhard 5L 5s⟨3/1⟩ | |||||
9\55 | 311.229 | 69.162 | 9:2 | 4.500 | ||||||
5\30 | 316.993 | 63.399 | 5:1 | 5.000 | ||||||
6\35 | 326.049 | 54.342 | 6:1 | 6.000 | ||||||
1\5 | 380.391 | 0.000 | 1:0 | → ∞ | Collapsed 5L 5s⟨3/1⟩ |
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