8L 14s

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↖ 7L 13s↑ 8L 13s 9L 13s ↗
← 7L 14s8L 14s9L 14s →
↙ 7L 15s↓ 8L 15s 9L 15s ↘
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Scale structure
Step pattern LsLssLssLssLsLssLssLss
ssLssLssLsLssLssLssLsL
Equave 2/1 (1200.0¢)
Period 1\2 (600.0¢)
Generator size
Bright 8\22 to 3\8 (436.4¢ to 450.0¢)
Dark 1\8 to 3\22 (150.0¢ to 163.6¢)
TAMNAMS information
Descends from 6L 2s (ekic)
Ancestor's step ratio range 1:1 to 3:2 (soft)
Related MOS scales
Parent 8L 6s
Sister 14L 8s
Daughters 22L 8s, 8L 22s
Neutralized 16L 6s
2-Flought 30L 14s, 8L 36s
Equal tunings
Equalized (L:s = 1:1) 8\22 (436.4¢)
Supersoft (L:s = 4:3) 27\74 (437.8¢)
Soft (L:s = 3:2) 19\52 (438.5¢)
Semisoft (L:s = 5:3) 30\82 (439.0¢)
Basic (L:s = 2:1) 11\30 (440.0¢)
Semihard (L:s = 5:2) 25\68 (441.2¢)
Hard (L:s = 3:1) 14\38 (442.1¢)
Superhard (L:s = 4:1) 17\46 (443.5¢)
Collapsed (L:s = 1:0) 3\8 (450.0¢)

8L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 14 small steps, with a period of 4 large steps and 7 small steps that repeats every 600.0¢, or twice every octave. 8L 14s is a grandchild scale of 6L 2s, expanding it by 14 tones. Generators that produce this scale range from 436.4¢ to 450¢, or from 150¢ to 163.6¢.

Modes

Modes of 8L 14s
UDP Cyclic
order
Step
pattern
20|0(2) 1 LsLssLssLssLsLssLssLss
18|2(2) 9 LssLsLssLssLssLsLssLss
16|4(2) 6 LssLssLsLssLssLssLsLss
14|6(2) 3 LssLssLssLsLssLssLssLs
12|8(2) 11 sLsLssLssLssLsLssLssLs
10|10(2) 8 sLssLsLssLssLssLsLssLs
8|12(2) 5 sLssLssLsLssLssLssLsLs
6|14(2) 2 sLssLssLssLsLssLssLssL
4|16(2) 10 ssLsLssLssLssLsLssLssL
2|18(2) 7 ssLssLsLssLssLssLsLssL
0|20(2) 4 ssLssLssLsLssLssLssLsL

Scale tree

Scale Tree and Tuning Spectrum of 8L 14s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
8\22 436.364 163.636 1:1 1.000 Equalized 8L 14s
43\118 437.288 162.712 6:5 1.200
35\96 437.500 162.500 5:4 1.250
62\170 437.647 162.353 9:7 1.286
27\74 437.838 162.162 4:3 1.333 Supersoft 8L 14s
73\200 438.000 162.000 11:8 1.375
46\126 438.095 161.905 7:5 1.400
65\178 438.202 161.798 10:7 1.429
19\52 438.462 161.538 3:2 1.500 Soft 8L 14s
68\186 438.710 161.290 11:7 1.571
49\134 438.806 161.194 8:5 1.600
79\216 438.889 161.111 13:8 1.625
30\82 439.024 160.976 5:3 1.667 Semisoft 8L 14s
71\194 439.175 160.825 12:7 1.714
41\112 439.286 160.714 7:4 1.750
52\142 439.437 160.563 9:5 1.800
11\30 440.000 160.000 2:1 2.000 Basic 8L 14s
Scales with tunings softer than this are proper
47\128 440.625 159.375 9:4 2.250
36\98 440.816 159.184 7:3 2.333
61\166 440.964 159.036 12:5 2.400
25\68 441.176 158.824 5:2 2.500 Semihard 8L 14s
64\174 441.379 158.621 13:5 2.600
39\106 441.509 158.491 8:3 2.667
53\144 441.667 158.333 11:4 2.750
14\38 442.105 157.895 3:1 3.000 Hard 8L 14s
45\122 442.623 157.377 10:3 3.333
31\84 442.857 157.143 7:2 3.500
48\130 443.077 156.923 11:3 3.667
17\46 443.478 156.522 4:1 4.000 Superhard 8L 14s
37\100 444.000 156.000 9:2 4.500
20\54 444.444 155.556 5:1 5.000
23\62 445.161 154.839 6:1 6.000
3\8 450.000 150.000 1:0 → ∞ Collapsed 8L 14s