6L 4s

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↖ 5L 3s ↑6L 3s 7L 3s ↗
← 5L 4s6L 4s 7L 4s →
↙ 5L 5s ↓6L 5s 7L 5s ↘
┌╥╥┬╥┬╥╥┬╥┬┐
│║║│║│║║│║││
││││││││││││
└┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLsLLsLs
sLsLLsLsLL
Equave 2/1 (1200.0¢)
Period 1\2 (600.0¢)
Generator size
Bright 3\10 to 2\6 (360.0¢ to 400.0¢)
Dark 1\6 to 2\10 (200.0¢ to 240.0¢)
TAMNAMS information
Name lemon
Prefix lem-
Abbrev. lem
Related MOS scales
Parent 4L 2s
Sister 4L 6s
Daughters 10L 6s, 6L 10s
Neutralized 2L 8s
Equal tunings
Equalized (L:s = 1:1) 3\10 (360.0¢)
Supersoft (L:s = 4:3) 11\36 (366.7¢)
Soft (L:s = 3:2) 8\26 (369.2¢)
Semisoft (L:s = 5:3) 13\42 (371.4¢)
Basic (L:s = 2:1) 5\16 (375.0¢)
Semihard (L:s = 5:2) 12\38 (378.9¢)
Hard (L:s = 3:1) 7\22 (381.8¢)
Superhard (L:s = 4:1) 9\28 (385.7¢)
Collapsed (L:s = 1:0) 2\6 (400.0¢)

6L 4s, named lemon in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 4 small steps, with a period of 3 large steps and 2 small steps that repeats every 600.0¢, or twice every octave. Generators that produce this scale range from 360¢ to 400¢, or from 200¢ to 240¢. Supported temperaments include antikythera, lemba, and echidnic.

Modes

Modes of 6L 4s
UDP Rotational order Step pattern
8|0(2) 1 LLsLsLLsLs
6|2(2) 4 LsLLsLsLLs
4|4(2) 2 LsLsLLsLsL
2|6(2) 5 sLLsLsLLsL
0|8(2) 3 sLsLLsLsLL

Scale tree

Scale Tree and Tuning Spectrum of 6L 4s
Generator(edo) Cents Step Ratio Comments
Bright Dark L:s Hardness
3\10 360.000 240.000 1:1 1.000 Equalized 6L 4s
17\56 364.286 235.714 6:5 1.200
14\46 365.217 234.783 5:4 1.250 Echidnic
25\82 365.854 234.146 9:7 1.286
11\36 366.667 233.333 4:3 1.333 Supersoft 6L 4s
Baladic
30\98 367.347 232.653 11:8 1.375
19\62 367.742 232.258 7:5 1.400
27\88 368.182 231.818 10:7 1.429
8\26 369.231 230.769 3:2 1.500 Soft 6L 4s
Lemba
29\94 370.213 229.787 11:7 1.571
21\68 370.588 229.412 8:5 1.600
34\110 370.909 229.091 13:8 1.625
13\42 371.429 228.571 5:3 1.667 Semisoft 6L 4s
31\100 372.000 228.000 12:7 1.714
18\58 372.414 227.586 7:4 1.750
23\74 372.973 227.027 9:5 1.800
5\16 375.000 225.000 2:1 2.000 Basic 6L 4s
Scales with tunings softer than this are proper
22\70 377.143 222.857 9:4 2.250
17\54 377.778 222.222 7:3 2.333
29\92 378.261 221.739 12:5 2.400
12\38 378.947 221.053 5:2 2.500 Semihard 6L 4s
31\98 379.592 220.408 13:5 2.600
19\60 380.000 220.000 8:3 2.667 Divination
26\82 380.488 219.512 11:4 2.750
7\22 381.818 218.182 3:1 3.000 Hard 6L 4s
Antikythera/astrology
23\72 383.333 216.667 10:3 3.333 Wizard
16\50 384.000 216.000 7:2 3.500
25\78 384.615 215.385 11:3 3.667
9\28 385.714 214.286 4:1 4.000 Superhard 6L 4s
20\62 387.097 212.903 9:2 4.500
11\34 388.235 211.765 5:1 5.000
13\40 390.000 210.000 6:1 6.000
2\6 400.000 200.000 1:0 → ∞ Collapsed 6L 4s