5L 2s (8/3-equivalent)

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↖4L 1s⟨8/3⟩ ↑5L 1s⟨8/3⟩ 6L 1s⟨8/3⟩↗
←4L 2s⟨8/3⟩5L 2s (8/3-equivalent) 6L 2s⟨8/3⟩→
↙4L 3s⟨8/3⟩ ↓5L 3s⟨8/3⟩ 6L 3s⟨8/3⟩↘
 
┌╥╥╥┬╥╥┬┐
│║║║│║║││
│││││││││
└┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLsLLs
sLLsLLL
Equave 8/3 (1698.0¢)
Period 8/3 (1698.0¢)
Generator size(ed8/3)
Bright 4\7 to 3\5 (970.3¢ to 1018.8¢)
Dark 2\5 to 3\7 (679.2¢ to 727.7¢)
Related MOS scales
Parent 2L 3s⟨8/3⟩
Sister 2L 5s⟨8/3⟩
Daughters 7L 5s⟨8/3⟩
5L 7s⟨8/3⟩
Equal tunings(ed8/3)
Equalized (L:s = 1:1) 4\7 (970.3¢)
Supersoft (L:s = 4:3) 15\26 (979.6¢)
Soft (L:s = 3:2) 11\19 (983.1¢)
Semisoft (L:s = 5:3) 18\31 (986.0¢)
Basic (L:s = 2:1) 7\12 (990.5¢)
Semihard (L:s = 5:2) 17\29 (995.4¢)
Hard (L:s = 3:1) 10\17 (998.8¢)
Superhard (L:s = 4:1) 13\22 (1003.4¢)
Collapsed (L:s = 1:0) 3\5 (1018.8¢)

5L 2s⟨8/3⟩ is a 8/3-equivalent (non-octave) moment of symmetry scale containing 5 large steps and 2 small steps, repeating every interval of 8/3 (1698.0¢). Generators that produce this scale range from 970.3¢ to 1018.8¢, or from 679.2¢ to 727.7¢.

Modes

Modes of 5L 2s⟨8/3⟩
UDP Rotational order Step pattern
6|0 1 LLLsLLs
5|1 5 LLsLLLs
4|2 2 LLsLLsL
3|3 6 LsLLLsL
2|4 3 LsLLsLL
1|5 7 sLLLsLL
0|6 4 sLLsLLL

Scale tree

Scale Tree and Tuning Spectrum of 5L 2s⟨8/3⟩
Generator(ed8/3) Cents Step Ratio Comments
Bright Dark L:s Hardness
4\7 970.311 727.734 1:1 1.000 Equalized 5L 2s⟨8/3⟩
23\40 976.376 721.669 6:5 1.200
19\33 977.662 720.383 5:4 1.250
34\59 978.534 719.511 9:7 1.286
15\26 979.641 718.404 4:3 1.333 Supersoft 5L 2s⟨8/3⟩
41\71 980.561 717.484 11:8 1.375
26\45 981.093 716.952 7:5 1.400
37\64 981.682 716.363 10:7 1.429
11\19 983.079 714.966 3:2 1.500 Soft 5L 2s⟨8/3⟩
40\69 984.374 713.671 11:7 1.571
29\50 984.866 713.179 8:5 1.600
47\81 985.285 712.760 13:8 1.625
18\31 985.962 712.083 5:3 1.667 Semisoft 5L 2s⟨8/3⟩
43\74 986.702 711.343 12:7 1.714
25\43 987.235 710.810 7:4 1.750
32\55 987.953 710.092 9:5 1.800
7\12 990.526 707.519 2:1 2.000 Basic 5L 2s⟨8/3⟩
Scales with tunings softer than this are proper
31\53 993.196 704.849 9:4 2.250
24\41 993.978 704.067 7:3 2.333
41\70 994.569 703.476 12:5 2.400
17\29 995.406 702.639 5:2 2.500 Semihard 5L 2s⟨8/3⟩
44\75 996.186 701.859 13:5 2.600
27\46 996.679 701.366 8:3 2.667
37\63 997.265 700.780 11:4 2.750
10\17 998.850 699.195 3:1 3.000 Hard 5L 2s⟨8/3⟩
33\56 1000.634 697.411 10:3 3.333
23\39 1001.411 696.634 7:2 3.500
36\61 1002.125 695.920 11:3 3.667
13\22 1003.390 694.655 4:1 4.000 Superhard 5L 2s⟨8/3⟩
29\49 1004.965 693.080 9:2 4.500
16\27 1006.249 691.796 5:1 5.000
19\32 1008.214 689.831 6:1 6.000
3\5 1018.827 679.218 1:0 → ∞ Collapsed 5L 2s⟨8/3⟩
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