14L 8s

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↖ 13L 7s↑ 14L 7s 15L 7s ↗
← 13L 8s14L 8s15L 8s →
↙ 13L 9s↓ 14L 9s 15L 9s ↘
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└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLLsLLsLsLLsLLsLLsLs
sLsLLsLLsLLsLsLLsLLsLL
Equave 2/1 (1200.0¢)
Period 1\2 (600.0¢)
Generator size
Bright 3\22 to 2\14 (163.6¢ to 171.4¢)
Dark 5\14 to 8\22 (428.6¢ to 436.4¢)
TAMNAMS information
Descends from 6L 2s (ekic)
Ancestor's step ratio range 3:2 to 2:1 (hyposoft)
Related MOS scales
Parent 8L 6s
Sister 8L 14s
Daughters 22L 14s, 14L 22s
Neutralized 6L 16s
2-Flought 36L 8s, 14L 30s
Equal tunings
Equalized (L:s = 1:1) 3\22 (163.6¢)
Supersoft (L:s = 4:3) 11\80 (165.0¢)
Soft (L:s = 3:2) 8\58 (165.5¢)
Semisoft (L:s = 5:3) 13\94 (166.0¢)
Basic (L:s = 2:1) 5\36 (166.7¢)
Semihard (L:s = 5:2) 12\86 (167.4¢)
Hard (L:s = 3:1) 7\50 (168.0¢)
Superhard (L:s = 4:1) 9\64 (168.8¢)
Collapsed (L:s = 1:0) 2\14 (171.4¢)

14L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 14 large steps and 8 small steps, with a period of 7 large steps and 4 small steps that repeats every 600.0¢, or twice every octave. 14L 8s is a grandchild scale of 6L 2s, expanding it by 14 tones. Generators that produce this scale range from 163.6¢ to 171.4¢, or from 428.6¢ to 436.4¢.

Modes

Modes of 14L 8s
UDP Cyclic
Order
Step
Pattern
20|0(2) 1 LLsLLsLLsLsLLsLLsLLsLs
18|2(2) 4 LLsLLsLsLLsLLsLLsLsLLs
16|4(2) 7 LLsLsLLsLLsLLsLsLLsLLs
14|6(2) 10 LsLLsLLsLLsLsLLsLLsLLs
12|8(2) 2 LsLLsLLsLsLLsLLsLLsLsL
10|10(2) 5 LsLLsLsLLsLLsLLsLsLLsL
8|12(2) 8 LsLsLLsLLsLLsLsLLsLLsL
6|14(2) 11 sLLsLLsLLsLsLLsLLsLLsL
4|16(2) 3 sLLsLLsLsLLsLLsLLsLsLL
2|18(2) 6 sLLsLsLLsLLsLLsLsLLsLL
0|20(2) 9 sLsLLsLLsLLsLsLLsLLsLL

Scale tree

Scale Tree and Tuning Spectrum of 14L 8s
Generator(edo) Cents Step Ratio Comments
Bright Dark L:s Hardness
3\22 163.636 436.364 1:1 1.000 Equalized 14L 8s
17\124 164.516 435.484 6:5 1.200
14\102 164.706 435.294 5:4 1.250
25\182 164.835 435.165 9:7 1.286
11\80 165.000 435.000 4:3 1.333 Supersoft 14L 8s
30\218 165.138 434.862 11:8 1.375
19\138 165.217 434.783 7:5 1.400
27\196 165.306 434.694 10:7 1.429
8\58 165.517 434.483 3:2 1.500 Soft 14L 8s
29\210 165.714 434.286 11:7 1.571
21\152 165.789 434.211 8:5 1.600
34\246 165.854 434.146 13:8 1.625
13\94 165.957 434.043 5:3 1.667 Semisoft 14L 8s
31\224 166.071 433.929 12:7 1.714
18\130 166.154 433.846 7:4 1.750
23\166 166.265 433.735 9:5 1.800
5\36 166.667 433.333 2:1 2.000 Basic 14L 8s
Scales with tunings softer than this are proper
22\158 167.089 432.911 9:4 2.250
17\122 167.213 432.787 7:3 2.333
29\208 167.308 432.692 12:5 2.400
12\86 167.442 432.558 5:2 2.500 Semihard 14L 8s
31\222 167.568 432.432 13:5 2.600
19\136 167.647 432.353 8:3 2.667
26\186 167.742 432.258 11:4 2.750
7\50 168.000 432.000 3:1 3.000 Hard 14L 8s
23\164 168.293 431.707 10:3 3.333
16\114 168.421 431.579 7:2 3.500
25\178 168.539 431.461 11:3 3.667
9\64 168.750 431.250 4:1 4.000 Superhard 14L 8s
20\142 169.014 430.986 9:2 4.500
11\78 169.231 430.769 5:1 5.000
13\92 169.565 430.435 6:1 6.000
2\14 171.429 428.571 1:0 → ∞ Collapsed 14L 8s