10L 6s

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↖ 9L 5s ↑ 10L 5s 11L 5s ↗
← 9L 6s 10L 6s 11L 6s →
↙ 9L 7s ↓ 10L 7s 11L 7s ↘ 
┌╥╥┬╥╥┬╥┬╥╥┬╥╥┬╥┬┐
│║║│║║│║│║║│║║│║││
││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
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
Related to 6L 4s (lemon)
With tunings 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 ¢ being optimal.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

Intervals

Intervals of 10L 6s
Intervals Steps
subtended 		Range in cents
Generic Specific Abbrev.
0-mosstep Perfect 0-mosstep P0ms 0 0.0 ¢
1-mosstep Minor 1-mosstep m1ms s 0.0 ¢ to 75.0 ¢
Major 1-mosstep M1ms L 75.0 ¢ to 120.0 ¢
2-mosstep Minor 2-mosstep m2ms L + s 120.0 ¢ to 150.0 ¢
Major 2-mosstep M2ms 2L 150.0 ¢ to 240.0 ¢
3-mosstep Diminished 3-mosstep d3ms L + 2s 120.0 ¢ to 225.0 ¢
Perfect 3-mosstep P3ms 2L + s 225.0 ¢ to 240.0 ¢
4-mosstep Minor 4-mosstep m4ms 2L + 2s 240.0 ¢ to 300.0 ¢
Major 4-mosstep M4ms 3L + s 300.0 ¢ to 360.0 ¢
5-mosstep Perfect 5-mosstep P5ms 3L + 2s 360.0 ¢ to 375.0 ¢
Augmented 5-mosstep A5ms 4L + s 375.0 ¢ to 480.0 ¢
6-mosstep Minor 6-mosstep m6ms 3L + 3s 360.0 ¢ to 450.0 ¢
Major 6-mosstep M6ms 4L + 2s 450.0 ¢ to 480.0 ¢
7-mosstep Minor 7-mosstep m7ms 4L + 3s 480.0 ¢ to 525.0 ¢
Major 7-mosstep M7ms 5L + 2s 525.0 ¢ to 600.0 ¢
8-mosstep Perfect 8-mosstep P8ms 5L + 3s 600.0 ¢
9-mosstep Minor 9-mosstep m9ms 5L + 4s 600.0 ¢ to 675.0 ¢
Major 9-mosstep M9ms 6L + 3s 675.0 ¢ to 720.0 ¢
10-mosstep Minor 10-mosstep m10ms 6L + 4s 720.0 ¢ to 750.0 ¢
Major 10-mosstep M10ms 7L + 3s 750.0 ¢ to 840.0 ¢
11-mosstep Diminished 11-mosstep d11ms 6L + 5s 720.0 ¢ to 825.0 ¢
Perfect 11-mosstep P11ms 7L + 4s 825.0 ¢ to 840.0 ¢
12-mosstep Minor 12-mosstep m12ms 7L + 5s 840.0 ¢ to 900.0 ¢
Major 12-mosstep M12ms 8L + 4s 900.0 ¢ to 960.0 ¢
13-mosstep Perfect 13-mosstep P13ms 8L + 5s 960.0 ¢ to 975.0 ¢
Augmented 13-mosstep A13ms 9L + 4s 975.0 ¢ to 1080.0 ¢
14-mosstep Minor 14-mosstep m14ms 8L + 6s 960.0 ¢ to 1050.0 ¢
Major 14-mosstep M14ms 9L + 5s 1050.0 ¢ to 1080.0 ¢
15-mosstep Minor 15-mosstep m15ms 9L + 6s 1080.0 ¢ to 1125.0 ¢
Major 15-mosstep M15ms 10L + 5s 1125.0 ¢ to 1200.0 ¢
16-mosstep Perfect 16-mosstep P16ms 10L + 6s 1200.0 ¢

Generator chain

Generator chain of 10L 6s
Bright gens Scale degree Abbrev. Scale degree Abbrev.
12 Augmented 4-mosdegree A4md Augmented 12-mosdegree A12md
11 Augmented 1-mosdegree A1md Augmented 9-mosdegree A9md
10 Augmented 6-mosdegree A6md Augmented 14-mosdegree A14md
9 Augmented 3-mosdegree A3md Augmented 11-mosdegree A11md
8 Augmented 0-mosdegree A0md Augmented 8-mosdegree A8md
7 Augmented 5-mosdegree A5md Augmented 13-mosdegree A13md
6 Major 2-mosdegree M2md Major 10-mosdegree M10md
5 Major 7-mosdegree M7md Major 15-mosdegree M15md
4 Major 4-mosdegree M4md Major 12-mosdegree M12md
3 Major 1-mosdegree M1md Major 9-mosdegree M9md
2 Major 6-mosdegree M6md Major 14-mosdegree M14md
1 Perfect 3-mosdegree P3md Perfect 11-mosdegree P11md
0 Perfect 0-mosdegree
Perfect 8-mosdegree		 P0md
P8md		 Perfect 8-mosdegree
Perfect 16-mosdegree		 P8md
P16md
−1 Perfect 5-mosdegree P5md Perfect 13-mosdegree P13md
−2 Minor 2-mosdegree m2md Minor 10-mosdegree m10md
−3 Minor 7-mosdegree m7md Minor 15-mosdegree m15md
−4 Minor 4-mosdegree m4md Minor 12-mosdegree m12md
−5 Minor 1-mosdegree m1md Minor 9-mosdegree m9md
−6 Minor 6-mosdegree m6md Minor 14-mosdegree m14md
−7 Diminished 3-mosdegree d3md Diminished 11-mosdegree d11md
−8 Diminished 8-mosdegree d8md Diminished 16-mosdegree d16md
−9 Diminished 5-mosdegree d5md Diminished 13-mosdegree d13md
−10 Diminished 2-mosdegree d2md Diminished 10-mosdegree d10md
−11 Diminished 7-mosdegree d7md Diminished 15-mosdegree d15md
−12 Diminished 4-mosdegree d4md Diminished 12-mosdegree d12md

Modes

Scale degrees of the modes of 10L 6s
UDP Cyclic
order 		Step
pattern 		Scale degree (mosdegree)
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
14|0(2) 1 LLsLLsLsLLsLLsLs Perf. Maj. Maj. Perf. Maj. Aug. Maj. Maj. Perf. Maj. Maj. Perf. Maj. Aug. Maj. Maj. Perf.
12|2(2) 4 LLsLsLLsLLsLsLLs Perf. Maj. Maj. Perf. Maj. Perf. Maj. Maj. Perf. Maj. Maj. Perf. Maj. Perf. Maj. Maj. Perf.
10|4(2) 7 LsLLsLLsLsLLsLLs Perf. Maj. Min. Perf. Maj. Perf. Maj. Maj. Perf. Maj. Min. Perf. Maj. Perf. Maj. Maj. Perf.
8|6(2) 2 LsLLsLsLLsLLsLsL Perf. Maj. Min. Perf. Maj. Perf. Maj. Min. Perf. Maj. Min. Perf. Maj. Perf. Maj. Min. Perf.
6|8(2) 5 LsLsLLsLLsLsLLsL Perf. Maj. Min. Perf. Min. Perf. Maj. Min. Perf. Maj. Min. Perf. Min. Perf. Maj. Min. Perf.
4|10(2) 8 sLLsLLsLsLLsLLsL Perf. Min. Min. Perf. Min. Perf. Maj. Min. Perf. Min. Min. Perf. Min. Perf. Maj. Min. Perf.
2|12(2) 3 sLLsLsLLsLLsLsLL Perf. Min. Min. Perf. Min. Perf. Min. Min. Perf. Min. Min. Perf. Min. Perf. Min. Min. Perf.
0|14(2) 6 sLsLLsLLsLsLLsLL Perf. Min. Min. Dim. Min. Perf. Min. Min. Perf. Min. Min. Dim. Min. Perf. Min. Min. Perf.

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
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