2L 3s (3/1-equivalent)

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↖ 1L 2s⟨3/1⟩ ↑ 2L 2s⟨3/1⟩ 3L 2s⟨3/1⟩ ↗
← 1L 3s⟨3/1⟩ 2L 3s (3/1-equivalent) 3L 3s⟨3/1⟩ →
↙ 1L 4s⟨3/1⟩ ↓ 2L 4s⟨3/1⟩ 3L 4s⟨3/1⟩ ↘ 
┌╥┬╥┬┬┐
│║│║│││
│││││││
└┴┴┴┴┴┘
Scale structure
Step pattern LsLss
ssLsL
Equave 3/1 (1902.0¢)
Period 3/1 (1902.0¢)
Generator size(edt)
Bright 2\5 to 1\2 (760.8¢ to 951.0¢)
Dark 1\2 to 3\5 (951.0¢ to 1141.2¢)
Related MOS scales
Parent 2L 1s⟨3/1⟩
Sister 3L 2s⟨3/1⟩
Daughters 5L 2s⟨3/1⟩, 2L 5s⟨3/1⟩
Neutralized 4L 1s⟨3/1⟩
2-Flought 7L 3s⟨3/1⟩, 2L 8s⟨3/1⟩
Equal tunings(edt)
Equalized (L:s = 1:1) 2\5 (760.8¢)
Supersoft (L:s = 4:3) 7\17 (783.2¢)
Soft (L:s = 3:2) 5\12 (792.5¢)
Semisoft (L:s = 5:3) 8\19 (800.8¢)
Basic (L:s = 2:1) 3\7 (815.1¢)
Semihard (L:s = 5:2) 7\16 (832.1¢)
Hard (L:s = 3:1) 4\9 (845.3¢)
Superhard (L:s = 4:1) 5\11 (864.5¢)
Collapsed (L:s = 1:0) 1\2 (951.0¢)

2L 3s⟨3/1⟩ is a 3/1-equivalent (tritave-equivalent) moment of symmetry scale containing 2 large steps and 3 small steps, repeating every interval of 3/1 (1902.0¢). Generators that produce this scale range from 760.8¢ to 951¢, or from 951¢ to 1141.2¢.

Modes

Modes of 2L 3s⟨3/1⟩
UDP Cyclic
order		 Step
pattern
4|0 1 LsLss
3|1 3 LssLs
2|2 5 sLsLs
1|3 2 sLssL
0|4 4 ssLsL

Scale degrees

Scale degrees of the modes of 2L 3s⟨3/1⟩ 
UDP Cyclic
order		 Step
pattern		 Scale degree (mosdegree)
0 1 2 3 4 5
4|0 1 LsLss Perf. Maj. Perf. Aug. Maj. Perf.
3|1 3 LssLs Perf. Maj. Perf. Perf. Maj. Perf.
2|2 5 sLsLs Perf. Min. Perf. Perf. Maj. Perf.
1|3 2 sLssL Perf. Min. Perf. Perf. Min. Perf.
0|4 4 ssLsL Perf. Min. Dim. Perf. Min. Perf.

Scale tree

Scale Tree and Tuning Spectrum of 2L 3s⟨3/1⟩
Generator(edt) Cents Step ratio Comments
Bright Dark L:s Hardness
2\5 760.782 1141.173 1:1 1.000 Equalized 2L 3s⟨3/1⟩
11\27 774.871 1127.084 6:5 1.200
9\22 778.073 1123.883 5:4 1.250
16\39 780.289 1121.666 9:7 1.286
7\17 783.158 1118.797 4:3 1.333 Supersoft 2L 3s⟨3/1⟩
19\46 785.590 1116.365 11:8 1.375
12\29 787.016 1114.939 7:5 1.400
17\41 788.615 1113.340 10:7 1.429
5\12 792.481 1109.474 3:2 1.500 Soft 2L 3s⟨3/1⟩
18\43 796.167 1105.788 11:7 1.571
13\31 797.594 1104.361 8:5 1.600
21\50 798.821 1103.134 13:8 1.625
8\19 800.823 1101.132 5:3 1.667 Semisoft 2L 3s⟨3/1⟩
19\45 803.048 1098.907 12:7 1.714
11\26 804.673 1097.282 7:4 1.750
14\33 806.890 1095.065 9:5 1.800
3\7 815.124 1086.831 2:1 2.000 Basic 2L 3s⟨3/1⟩
Scales with tunings softer than this are proper
13\30 824.181 1077.775 9:4 2.250
10\23 826.937 1075.018 7:3 2.333
17\39 829.057 1072.898 12:5 2.400
7\16 832.105 1069.850 5:2 2.500 Semihard 2L 3s⟨3/1⟩
18\41 835.005 1066.950 13:5 2.600
11\25 836.860 1065.095 8:3 2.667
15\34 839.098 1062.857 11:4 2.750
4\9 845.313 1056.642 3:1 3.000 Hard 2L 3s⟨3/1⟩
13\29 852.601 1049.354 10:3 3.333
9\20 855.880 1046.075 7:2 3.500
14\31 858.947 1043.008 11:3 3.667
5\11 864.525 1037.430 4:1 4.000 Superhard 2L 3s⟨3/1⟩
11\24 871.729 1030.226 9:2 4.500
6\13 877.825 1024.130 5:1 5.000
7\15 887.579 1014.376 6:1 6.000
1\2 950.978 950.978 1:0 → ∞ Collapsed 2L 3s⟨3/1⟩
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