12L 3s (21/10-equivalent)

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↖ 11L 2s⟨21/10⟩ ↑12L 2s⟨21/10⟩ 13L 2s⟨21/10⟩ ↗
← 11L 3s⟨21/10⟩12L 3s (21/10-equivalent) 13L 3s⟨21/10⟩ →
↙ 11L 4s⟨21/10⟩ ↓12L 4s⟨21/10⟩ 13L 4s⟨21/10⟩ ↘
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└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLsLLLLsLLLLs
sLLLLsLLLLsLLLL
Equave 21/10 (1284.5¢)
Period 1\3ed21/10 (428.2¢)
Generator size(ed21/10)
Bright 1\15 to 1\12 (85.6¢ to 107.0¢)
Dark 3\12 to 4\15 (321.1¢ to 342.5¢)
Related MOS scales
Parent 3L 9s⟨21/10⟩
Sister 3L 12s⟨21/10⟩
Daughters 15L 12s⟨21/10⟩, 12L 15s⟨21/10⟩
Neutralized 9L 6s⟨21/10⟩
2-Flought 27L 3s⟨21/10⟩, 12L 18s⟨21/10⟩
Equal tunings(ed21/10)
Equalized (L:s = 1:1) 1\15 (85.6¢)
Supersoft (L:s = 4:3) 4\57 (90.1¢)
Soft (L:s = 3:2) 3\42 (91.7¢)
Semisoft (L:s = 5:3) 5\69 (93.1¢)
Basic (L:s = 2:1) 2\27 (95.1¢)
Semihard (L:s = 5:2) 5\66 (97.3¢)
Hard (L:s = 3:1) 3\39 (98.8¢)
Superhard (L:s = 4:1) 4\51 (100.7¢)
Collapsed (L:s = 1:0) 1\12 (107.0¢)


Scale Tree and Tuning Spectrum of 12L 3s⟨21/10⟩
Generator(ed21/10) Cents Step Ratio Comments(always proper)
Bright Dark L:s Hardness
1\15 85.631 342.525 1:1 1.000 Equalized 12L 3s⟨21/10⟩
6\87 88.584 339.572 6:5 1.200
5\72 89.199 338.957 5:4 1.250
9\129 89.614 338.542 9:7 1.286
4\57 90.138 338.018 4:3 1.333 Supersoft 12L 3s⟨21/10⟩
11\156 90.571 337.584 11:8 1.375
7\99 90.821 337.335 7:5 1.400
10\141 91.097 337.059 10:7 1.429
3\42 91.748 336.408 3:2 1.500 Soft 12L 3s⟨21/10⟩
11\153 92.347 335.808 11:7 1.571
8\111 92.574 335.582 8:5 1.600
13\180 92.767 335.389 13:8 1.625
5\69 93.077 335.078 5:3 1.667 Semisoft 12L 3s⟨21/10⟩
12\165 93.416 334.740 12:7 1.714
7\96 93.659 334.497 7:4 1.750
9\123 93.985 334.170 9:5 1.800
2\27 95.146 333.010 2:1 2.000 Basic 12L 3s⟨21/10⟩
9\120 96.335 331.821 9:4 2.250
7\93 96.680 331.475 7:3 2.333
12\159 96.941 331.215 12:5 2.400
5\66 97.308 330.848 5:2 2.500 Semihard 12L 3s⟨21/10⟩
13\171 97.650 330.506 13:5 2.600
8\105 97.864 330.292 8:3 2.667
11\144 98.119 330.037 11:4 2.750
3\39 98.805 329.351 3:1 3.000 Hard 12L 3s⟨21/10⟩
10\129 99.571 328.585 10:3 3.333
7\90 99.903 328.253 7:2 3.500
11\141 100.207 327.949 11:3 3.667
4\51 100.743 327.413 4:1 4.000 Superhard 12L 3s⟨21/10⟩
9\114 101.405 326.750 9:2 4.500
5\63 101.942 326.214 5:1 5.000
6\75 102.757 325.398 6:1 6.000
1\12 107.039 321.117 1:0 → ∞ Collapsed 12L 3s⟨21/10⟩