3L 7s (5/2-equivalent)
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Scale structure
Step pattern
LssLssLsss
sssLssLssL
Equave
5/2 (1586.3¢)
Period
5/2 (1586.3¢)
Generator size(ed5/2)
Bright
3\10 to 1\3 (475.9¢ to 528.8¢)
Dark
2\3 to 7\10 (1057.5¢ to 1110.4¢)
Related MOS scales
Parent
3L 4s⟨5/2⟩
Sister
7L 3s⟨5/2⟩
Daughters
10L 3s⟨5/2⟩, 3L 10s⟨5/2⟩
Neutralized
6L 4s⟨5/2⟩
2-Flought
13L 7s⟨5/2⟩, 3L 17s⟨5/2⟩
Equal tunings(ed5/2)
Equalized (L:s = 1:1)
3\10 (475.9¢)
Supersoft (L:s = 4:3)
10\33 (480.7¢)
Soft (L:s = 3:2)
7\23 (482.8¢)
Semisoft (L:s = 5:3)
11\36 (484.7¢)
Basic (L:s = 2:1)
4\13 (488.1¢)
Semihard (L:s = 5:2)
9\29 (492.3¢)
Hard (L:s = 3:1)
5\16 (495.7¢)
Superhard (L:s = 4:1)
6\19 (500.9¢)
Collapsed (L:s = 1:0)
1\3 (528.8¢)
↖ 2L 6s⟨5/2⟩ | ↑ 3L 6s⟨5/2⟩ | 4L 6s⟨5/2⟩ ↗ |
← 2L 7s⟨5/2⟩ | 3L 7s (5/2-equivalent) | 4L 7s⟨5/2⟩ → |
↙ 2L 8s⟨5/2⟩ | ↓ 3L 8s⟨5/2⟩ | 4L 8s⟨5/2⟩ ↘ |
┌╥┬┬╥┬┬╥┬┬┬┐ │║││║││║││││ ││││││││││││ └┴┴┴┴┴┴┴┴┴┴┘
sssLssLssL
3L 7s⟨5/2⟩ is a 5/2-equivalent (non-octave) moment of symmetry scale containing 3 large steps and 7 small steps, repeating every interval of 5/2 (1586.3¢). Generators that produce this scale range from 475.9¢ to 528.8¢, or from 1057.5¢ to 1110.4¢.
Modes
UDP | Cyclic Order |
Step Pattern |
---|---|---|
9|0 | 1 | LssLssLsss |
8|1 | 4 | LssLsssLss |
7|2 | 7 | LsssLssLss |
6|3 | 10 | sLssLssLss |
5|4 | 3 | sLssLsssLs |
4|5 | 6 | sLsssLssLs |
3|6 | 9 | ssLssLssLs |
2|7 | 2 | ssLssLsssL |
1|8 | 5 | ssLsssLssL |
0|9 | 8 | sssLssLssL |
Scale tree
Generator(ed5/2) | Cents | Step Ratio | Comments | |||||||
---|---|---|---|---|---|---|---|---|---|---|
Bright | Dark | L:s | Hardness | |||||||
3\10 | 475.894 | 1110.420 | 1:1 | 1.000 | Equalized 3L 7s⟨5/2⟩ | |||||
16\53 | 478.887 | 1107.427 | 6:5 | 1.200 | ||||||
13\43 | 479.583 | 1106.730 | 5:4 | 1.250 | ||||||
23\76 | 480.069 | 1106.245 | 9:7 | 1.286 | ||||||
10\33 | 480.701 | 1105.613 | 4:3 | 1.333 | Supersoft 3L 7s⟨5/2⟩ | |||||
27\89 | 481.241 | 1105.072 | 11:8 | 1.375 | ||||||
17\56 | 481.560 | 1104.754 | 7:5 | 1.400 | ||||||
24\79 | 481.918 | 1104.396 | 10:7 | 1.429 | ||||||
7\23 | 482.791 | 1103.523 | 3:2 | 1.500 | Soft 3L 7s⟨5/2⟩ | |||||
25\82 | 483.632 | 1102.681 | 11:7 | 1.571 | ||||||
18\59 | 483.960 | 1102.354 | 8:5 | 1.600 | ||||||
29\95 | 484.243 | 1102.071 | 13:8 | 1.625 | ||||||
11\36 | 484.707 | 1101.607 | 5:3 | 1.667 | Semisoft 3L 7s⟨5/2⟩ | |||||
26\85 | 485.225 | 1101.088 | 12:7 | 1.714 | ||||||
15\49 | 485.606 | 1100.707 | 7:4 | 1.750 | ||||||
19\62 | 486.128 | 1100.185 | 9:5 | 1.800 | ||||||
4\13 | 488.097 | 1098.217 | 2:1 | 2.000 | Basic 3L 7s⟨5/2⟩ Scales with tunings softer than this are proper | |||||
17\55 | 490.315 | 1095.999 | 9:4 | 2.250 | ||||||
13\42 | 491.002 | 1095.312 | 7:3 | 2.333 | ||||||
22\71 | 491.534 | 1094.780 | 12:5 | 2.400 | ||||||
9\29 | 492.304 | 1094.009 | 5:2 | 2.500 | Semihard 3L 7s⟨5/2⟩ | |||||
23\74 | 493.043 | 1093.270 | 13:5 | 2.600 | ||||||
14\45 | 493.520 | 1092.794 | 8:3 | 2.667 | ||||||
19\61 | 494.098 | 1092.216 | 11:4 | 2.750 | ||||||
5\16 | 495.723 | 1090.591 | 3:1 | 3.000 | Hard 3L 7s⟨5/2⟩ | |||||
16\51 | 497.667 | 1088.647 | 10:3 | 3.333 | ||||||
11\35 | 498.556 | 1087.758 | 7:2 | 3.500 | ||||||
17\54 | 499.395 | 1086.919 | 11:3 | 3.667 | ||||||
6\19 | 500.941 | 1085.373 | 4:1 | 4.000 | Superhard 3L 7s⟨5/2⟩ | |||||
13\41 | 502.978 | 1083.336 | 9:2 | 4.500 | ||||||
7\22 | 504.736 | 1081.578 | 5:1 | 5.000 | ||||||
8\25 | 507.620 | 1078.693 | 6:1 | 6.000 | ||||||
1\3 | 528.771 | 1057.542 | 1:0 | → ∞ | Collapsed 3L 7s⟨5/2⟩ |