10L 5s (21/10-equivalent)

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↖ 9L 4s⟨21/10⟩ ↑ 10L 4s⟨21/10⟩ 11L 4s⟨21/10⟩ ↗
← 9L 5s⟨21/10⟩ 10L 5s (21/10-equivalent) 11L 5s⟨21/10⟩ →
↙ 9L 6s⟨21/10⟩ ↓ 10L 6s⟨21/10⟩ 11L 6s⟨21/10⟩ ↘ 
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Scale structure
Step pattern LLsLLsLLsLLsLLs
sLLsLLsLLsLLsLL
Equave 21/10 (1284.5¢)
Period 1\5ed21/10 (256.9¢)
Generator size(ed21/10)
Bright 1\15 to 1\10 (85.6¢ to 128.4¢)
Dark 1\10 to 2\15 (128.4¢ to 171.3¢)
Related MOS scales
Parent 5L 5s⟨21/10⟩
Sister 5L 10s⟨21/10⟩
Daughters 15L 10s⟨21/10⟩, 10L 15s⟨21/10⟩
Neutralized 5L 10s⟨21/10⟩
2-Flought 25L 5s⟨21/10⟩, 10L 20s⟨21/10⟩
Equal tunings(ed21/10)
Equalized (L:s = 1:1) 1\15 (85.6¢)
Supersoft (L:s = 4:3) 4\55 (93.4¢)
Soft (L:s = 3:2) 3\40 (96.3¢)
Semisoft (L:s = 5:3) 5\65 (98.8¢)
Basic (L:s = 2:1) 2\25 (102.8¢)
Semihard (L:s = 5:2) 5\60 (107.0¢)
Hard (L:s = 3:1) 3\35 (110.1¢)
Superhard (L:s = 4:1) 4\45 (114.2¢)
Collapsed (L:s = 1:0) 1\10 (128.4¢)

The 10L 5s(<21/10>) (or 2L 1s<1\5>(<21/10>)) MOS scale contains five 2L 1s patterns per octave.

Modes

Modes of 10L 5s⟨21/10⟩
UDP Cyclic
order		 Step
pattern
10|0(5) 1 LLsLLsLLsLLsLLs
5|5(5) 2 LsLLsLLsLLsLLsL
0|10(5) 3 sLLsLLsLLsLLsLL

Intervals

Intervals of 10L 5s⟨21/10⟩
Intervals Steps
subtended 		Range in cents
Generic Specific Abbrev.
0-mosstep Perfect 0-mosstep P0ms 0 0.0¢
1-mosstep Diminished 1-mosstep d1ms s 0.0¢ to 85.6¢
Perfect 1-mosstep P1ms L 85.6¢ to 128.4¢
2-mosstep Perfect 2-mosstep P2ms L + s 128.4¢ to 171.3¢
Augmented 2-mosstep A2ms 2L 171.3¢ to 256.9¢
3-mosstep Perfect 3-mosstep P3ms 2L + s 256.9¢
4-mosstep Diminished 4-mosstep d4ms 2L + 2s 256.9¢ to 342.5¢
Perfect 4-mosstep P4ms 3L + s 342.5¢ to 385.3¢
5-mosstep Perfect 5-mosstep P5ms 3L + 2s 385.3¢ to 428.2¢
Augmented 5-mosstep A5ms 4L + s 428.2¢ to 513.8¢
6-mosstep Perfect 6-mosstep P6ms 4L + 2s 513.8¢
7-mosstep Diminished 7-mosstep d7ms 4L + 3s 513.8¢ to 599.4¢
Perfect 7-mosstep P7ms 5L + 2s 599.4¢ to 642.2¢
8-mosstep Perfect 8-mosstep P8ms 5L + 3s 642.2¢ to 685.0¢
Augmented 8-mosstep A8ms 6L + 2s 685.0¢ to 770.7¢
9-mosstep Perfect 9-mosstep P9ms 6L + 3s 770.7¢
10-mosstep Diminished 10-mosstep d10ms 6L + 4s 770.7¢ to 856.3¢
Perfect 10-mosstep P10ms 7L + 3s 856.3¢ to 899.1¢
11-mosstep Perfect 11-mosstep P11ms 7L + 4s 899.1¢ to 941.9¢
Augmented 11-mosstep A11ms 8L + 3s 941.9¢ to 1027.6¢
12-mosstep Perfect 12-mosstep P12ms 8L + 4s 1027.6¢
13-mosstep Diminished 13-mosstep d13ms 8L + 5s 1027.6¢ to 1113.2¢
Perfect 13-mosstep P13ms 9L + 4s 1113.2¢ to 1156.0¢
14-mosstep Perfect 14-mosstep P14ms 9L + 5s 1156.0¢ to 1198.8¢
Augmented 14-mosstep A14ms 10L + 4s 1198.8¢ to 1284.5¢
15-mosstep Perfect 15-mosstep P15ms 10L + 5s 1284.5¢

Scale tree

Scale Tree and Tuning Spectrum of 10L 5s⟨21/10⟩
Generator(ed21/10) Cents Step ratio Comments(always proper)
Bright Dark L:s Hardness
1\15 85.631 171.262 1:1 1.000 Equalized 10L 5s⟨21/10⟩
6\85 90.668 166.225 6:5 1.200
5\70 91.748 165.146 5:4 1.250
9\125 92.482 164.412 9:7 1.286
4\55 93.416 163.478 4:3 1.333 Supersoft 10L 5s⟨21/10⟩
11\150 94.194 162.699 11:8 1.375
7\95 94.645 162.248 7:5 1.400
10\135 95.146 161.748 10:7 1.429
3\40 96.335 160.558 3:2 1.500 Soft 10L 5s⟨21/10⟩
11\145 97.442 159.451 11:7 1.571
8\105 97.864 159.029 8:5 1.600
13\170 98.224 158.669 13:8 1.625
5\65 98.805 158.088 5:3 1.667 Semisoft 10L 5s⟨21/10⟩
12\155 99.443 157.451 12:7 1.714
7\90 99.903 156.990 7:4 1.750
9\115 100.524 156.370 9:5 1.800
2\25 102.757 154.136 2:1 2.000 Basic 10L 5s⟨21/10⟩
9\110 105.093 151.801 9:4 2.250
7\85 105.780 151.114 7:3 2.333
12\145 106.301 150.593 12:5 2.400
5\60 107.039 149.855 5:2 2.500 Semihard 10L 5s⟨21/10⟩
13\155 107.730 149.164 13:5 2.600
8\95 108.166 148.728 8:3 2.667
11\130 108.686 148.208 11:4 2.750
3\35 110.097 146.796 3:1 3.000 Hard 10L 5s⟨21/10⟩
10\115 111.693 145.201 10:3 3.333
7\80 112.391 144.503 7:2 3.500
11\125 113.033 143.860 11:3 3.667
4\45 114.175 142.719 4:1 4.000 Superhard 10L 5s⟨21/10⟩
9\100 115.602 141.291 9:2 4.500
5\55 116.770 140.124 5:1 5.000
6\65 118.566 138.327 6:1 6.000
1\10 128.447 128.447 1:0 → ∞ Collapsed 10L 5s⟨21/10⟩


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