14L 6s

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↖ 13L 5s↑ 14L 5s 15L 5s ↗
← 13L 6s14L 6s15L 6s →
↙ 13L 7s↓ 14L 7s 15L 7s ↘
┌╥╥╥┬╥╥┬╥╥┬╥╥╥┬╥╥┬╥╥┬┐
│║║║│║║│║║│║║║│║║│║║││
││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLsLLsLLsLLLsLLsLLs
sLLsLLsLLLsLLsLLsLLL
Equave 2/1 (1200.0¢)
Period 1\2 (600.0¢)
Generator size
Bright 7\20 to 5\14 (420.0¢ to 428.6¢)
Dark 2\14 to 3\20 (171.4¢ to 180.0¢)
TAMNAMS information
Descends from 6L 2s (ekic)
Ancestor's step ratio range 2:1 to 3:1 (hypohard)
Related MOS scales
Parent 6L 8s
Sister 6L 14s
Daughters 20L 14s, 14L 20s
Neutralized 8L 12s
2-Flought 34L 6s, 14L 26s
Equal tunings
Equalized (L:s = 1:1) 7\20 (420.0¢)
Supersoft (L:s = 4:3) 26\74 (421.6¢)
Soft (L:s = 3:2) 19\54 (422.2¢)
Semisoft (L:s = 5:3) 31\88 (422.7¢)
Basic (L:s = 2:1) 12\34 (423.5¢)
Semihard (L:s = 5:2) 29\82 (424.4¢)
Hard (L:s = 3:1) 17\48 (425.0¢)
Superhard (L:s = 4:1) 22\62 (425.8¢)
Collapsed (L:s = 1:0) 5\14 (428.6¢)

14L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 14 large steps and 6 small steps, with a period of 7 large steps and 3 small steps that repeats every 600.0¢, or twice every octave. 14L 6s is a grandchild scale of 6L 2s, expanding it by 12 tones. Generators that produce this scale range from 420¢ to 428.6¢, or from 171.4¢ to 180¢.

Modes

Modes of 14L 6s
UDP Cyclic
Order
Step
Pattern
18|0(2) 1 LLLsLLsLLsLLLsLLsLLs
16|2(2) 8 LLsLLLsLLsLLsLLLsLLs
14|4(2) 5 LLsLLsLLLsLLsLLsLLLs
12|6(2) 2 LLsLLsLLsLLLsLLsLLsL
10|8(2) 9 LsLLLsLLsLLsLLLsLLsL
8|10(2) 6 LsLLsLLLsLLsLLsLLLsL
6|12(2) 3 LsLLsLLsLLLsLLsLLsLL
4|14(2) 10 sLLLsLLsLLsLLLsLLsLL
2|16(2) 7 sLLsLLLsLLsLLsLLLsLL
0|18(2) 4 sLLsLLsLLLsLLsLLsLLL

Scale tree

Scale Tree and Tuning Spectrum of 14L 6s
Generator(edo) Cents Step Ratio Comments
Bright Dark L:s Hardness
7\20 420.000 180.000 1:1 1.000 Equalized 14L 6s
40\114 421.053 178.947 6:5 1.200
33\94 421.277 178.723 5:4 1.250
59\168 421.429 178.571 9:7 1.286
26\74 421.622 178.378 4:3 1.333 Supersoft 14L 6s
71\202 421.782 178.218 11:8 1.375
45\128 421.875 178.125 7:5 1.400
64\182 421.978 178.022 10:7 1.429
19\54 422.222 177.778 3:2 1.500 Soft 14L 6s
69\196 422.449 177.551 11:7 1.571
50\142 422.535 177.465 8:5 1.600
81\230 422.609 177.391 13:8 1.625
31\88 422.727 177.273 5:3 1.667 Semisoft 14L 6s
74\210 422.857 177.143 12:7 1.714
43\122 422.951 177.049 7:4 1.750
55\156 423.077 176.923 9:5 1.800
12\34 423.529 176.471 2:1 2.000 Basic 14L 6s
Scales with tunings softer than this are proper
53\150 424.000 176.000 9:4 2.250
41\116 424.138 175.862 7:3 2.333
70\198 424.242 175.758 12:5 2.400
29\82 424.390 175.610 5:2 2.500 Semihard 14L 6s
75\212 424.528 175.472 13:5 2.600
46\130 424.615 175.385 8:3 2.667
63\178 424.719 175.281 11:4 2.750
17\48 425.000 175.000 3:1 3.000 Hard 14L 6s
56\158 425.316 174.684 10:3 3.333
39\110 425.455 174.545 7:2 3.500
61\172 425.581 174.419 11:3 3.667
22\62 425.806 174.194 4:1 4.000 Superhard 14L 6s
49\138 426.087 173.913 9:2 4.500
27\76 426.316 173.684 5:1 5.000
32\90 426.667 173.333 6:1 6.000
5\14 428.571 171.429 1:0 → ∞ Collapsed 14L 6s