10L 2s

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↖9L 1s↑10L 1s 11L 1s↗
←9L 2s10L 2s11L 2s→
↙9L 3s↓10L 3s 11L 3s↘
Brightest mode LLLLLsLLLLLs
Period 1\2
Range for bright generator 1\12 (100¢) to 1\10 (120¢)
Range for dark generator 4\10 (480¢) to 5\12 (500¢)
Parent MOS 2L 8s
Sister MOS 2L 10s
Daughter MOSes 12L 10s, 10L 12s
Equal tunings
Supersoft (L:s = 4:3) 4\46 (104.3¢)
Soft (L:s = 3:2) 3\34 (105.9¢)
Semisoft (L:s = 5:3) 5\56 (107.1¢)
Basic (L:s = 2:1) 2\22 (109.1¢)
Semihard (L:s = 5:2) 5\54 (111.1¢)
Hard (L:s = 3:1) 3\32 (112.5¢)
Superhard (L:s = 4:1) 4\42 (114.3¢)
Brightest-mode tunings on xenpaper
Supersoft Soft Semisoft Basic Semihard Hard Superhard

10L 2s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 2 small steps, with a period of 5 large steps and 1 small step that repeats every 600.0¢, or twice every octave. 10L 2s is a child scale of 2L 8s, expanding it by 2 tones. Generators that produce this scale range from 100¢ to 120¢, or from 480¢ to 500¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

The only significant harmonic entropy minimum with this MOS pattern is srutal/pajara, which appears as a 12-note scale of srutal/pajara[12].

Scale tree

Scale tree and tuning spectrum of 10L 2s
Generator (in steps of edo) Cents Step ratio Comments
(Every true-MOS tuning produces a proper scale)
Bright Dark L:s Hardness
1\12 100.000 500.000 1:1 1.000 Equalized 10L 2s
6\70 102.857 497.143 6:5 1.200
5\58 103.448 496.552 5:4 1.250
9\104 103.846 496.154 9:7 1.286
4\46 104.348 495.652 4:3 1.333 Supersoft 10L 2s
11\126 104.762 495.238 11:8 1.375
7\80 105.000 495.000 7:5 1.400
10\114 105.263 494.737 10:7 1.429
3\34 105.882 494.118 3:2 1.500 Soft 10L 2s
Srutal / pajara
11\124 106.452 493.548 11:7 1.571
8\90 106.667 493.333 8:5 1.600
13\146 106.849 493.151 13:8 1.625
5\56 107.143 492.857 5:3 1.667 Semisoft 10L 2s
12\134 107.463 492.537 12:7 1.714
7\78 107.692 492.308 7:4 1.750
9\100 108.000 492.000 9:5 1.800
2\22 109.091 490.909 2:1 2.000 Basic 10L 2s
9\98 110.204 489.796 9:4 2.250
7\76 110.526 489.474 7:3 2.333
12\130 110.769 489.231 12:5 2.400
5\54 111.111 488.889 5:2 2.500 Semihard 10L 2s
13\140 111.429 488.571 13:5 2.600
8\86 111.628 488.372 8:3 2.667
11\118 111.864 488.136 11:4 2.750
3\32 112.500 487.500 3:1 3.000 Hard 10L 2s
10\106 113.208 486.792 10:3 3.333
7\74 113.514 486.486 7:2 3.500
11\116 113.793 486.207 11:3 3.667
4\42 114.286 485.714 4:1 4.000 Superhard 10L 2s
9\94 114.894 485.106 9:2 4.500
5\52 115.385 484.615 5:1 5.000
6\62 116.129 483.871 6:1 6.000
1\10 120.000 480.000 1:0 → ∞ Collapsed 10L 2s