10L 6s

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↖ 9L 5s↑ 10L 5s 11L 5s ↗
← 9L 6s10L 6s11L 6s →
↙ 9L 7s↓ 10L 7s 11L 7s ↘
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│║║│║║│║│║║│║║│║││
││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLLsLsLLsLLsLs
sLsLLsLLsLsLLsLL
Equave 2/1 (1200.0¢)
Period 1\2 (600.0¢)
Generator size
Bright 3\16 to 2\10 (225.0¢ to 240.0¢)
Dark 3\10 to 5\16 (360.0¢ to 375.0¢)
TAMNAMS information
Descends from 6L 4s (lemon)
Ancestor's step ratio range 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 6L 4s
Sister 6L 10s
Daughters 16L 10s, 10L 16s
Neutralized 4L 12s
2-Flought 26L 6s, 10L 22s
Equal tunings
Equalized (L:s = 1:1) 3\16 (225.0¢)
Supersoft (L:s = 4:3) 11\58 (227.6¢)
Soft (L:s = 3:2) 8\42 (228.6¢)
Semisoft (L:s = 5:3) 13\68 (229.4¢)
Basic (L:s = 2:1) 5\26 (230.8¢)
Semihard (L:s = 5:2) 12\62 (232.3¢)
Hard (L:s = 3:1) 7\36 (233.3¢)
Superhard (L:s = 4:1) 9\46 (234.8¢)
Collapsed (L:s = 1:0) 2\10 (240.0¢)

10L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 6 small steps, with a period of 5 large steps and 3 small steps that repeats every 600.0¢, or twice every octave. 10L 6s is a child scale of 6L 4s, expanding it by 6 tones. Generators that produce this scale range from 225¢ to 240¢, or from 360¢ to 375¢. This scale is notable for supporting Lemba temperament; the entire range is suitable, with a generator range of about 229 to 232 cents being optimal.

Modes

Modes of 10L 6s
UDP Cyclic
order
Step
pattern
14|0(2) 1 LLsLLsLsLLsLLsLs
12|2(2) 4 LLsLsLLsLLsLsLLs
10|4(2) 7 LsLLsLLsLsLLsLLs
8|6(2) 2 LsLLsLsLLsLLsLsL
6|8(2) 5 LsLsLLsLLsLsLLsL
4|10(2) 8 sLLsLLsLsLLsLLsL
2|12(2) 3 sLLsLsLLsLLsLsLL
0|14(2) 6 sLsLLsLLsLsLLsLL

Scale tree

Scale Tree and Tuning Spectrum of 10L 6s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
3\16 225.000 375.000 1:1 1.000 Equalized 10L 6s
17\90 226.667 373.333 6:5 1.200
14\74 227.027 372.973 5:4 1.250
25\132 227.273 372.727 9:7 1.286
11\58 227.586 372.414 4:3 1.333 Supersoft 10L 6s
30\158 227.848 372.152 11:8 1.375
19\100 228.000 372.000 7:5 1.400
27\142 228.169 371.831 10:7 1.429
8\42 228.571 371.429 3:2 1.500 Soft 10L 6s
29\152 228.947 371.053 11:7 1.571
21\110 229.091 370.909 8:5 1.600
34\178 229.213 370.787 13:8 1.625
13\68 229.412 370.588 5:3 1.667 Semisoft 10L 6s
31\162 229.630 370.370 12:7 1.714
18\94 229.787 370.213 7:4 1.750
23\120 230.000 370.000 9:5 1.800
5\26 230.769 369.231 2:1 2.000 Basic 10L 6s
Scales with tunings softer than this are proper
Optimal Lemba
22\114 231.579 368.421 9:4 2.250
17\88 231.818 368.182 7:3 2.333
29\150 232.000 368.000 12:5 2.400
12\62 232.258 367.742 5:2 2.500 Semihard 10L 6s
31\160 232.500 367.500 13:5 2.600
19\98 232.653 367.347 8:3 2.667
26\134 232.836 367.164 11:4 2.750
7\36 233.333 366.667 3:1 3.000 Hard 10L 6s
23\118 233.898 366.102 10:3 3.333
16\82 234.146 365.854 7:2 3.500
25\128 234.375 365.625 11:3 3.667
9\46 234.783 365.217 4:1 4.000 Superhard 10L 6s
Echidnic
20\102 235.294 364.706 9:2 4.500
11\56 235.714 364.286 5:1 5.000
13\66 236.364 363.636 6:1 6.000
2\10 240.000 360.000 1:0 → ∞ Collapsed 10L 6s