8L 14s

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← 7L 14s 8L 14s 9L 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

Intervals

Intervals of 8L 14s
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 54.5 ¢
Major 1-mosstep M1ms L 54.5 ¢ to 150.0 ¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0 ¢ to 109.1 ¢
Major 2-mosstep M2ms L + s 109.1 ¢ to 150.0 ¢
3-mosstep Perfect 3-mosstep P3ms L + 2s 150.0 ¢ to 163.6 ¢
Augmented 3-mosstep A3ms 2L + s 163.6 ¢ to 300.0 ¢
4-mosstep Minor 4-mosstep m4ms L + 3s 150.0 ¢ to 218.2 ¢
Major 4-mosstep M4ms 2L + 2s 218.2 ¢ to 300.0 ¢
5-mosstep Minor 5-mosstep m5ms L + 4s 150.0 ¢ to 272.7 ¢
Major 5-mosstep M5ms 2L + 3s 272.7 ¢ to 300.0 ¢
6-mosstep Minor 6-mosstep m6ms 2L + 4s 300.0 ¢ to 327.3 ¢
Major 6-mosstep M6ms 3L + 3s 327.3 ¢ to 450.0 ¢
7-mosstep Minor 7-mosstep m7ms 2L + 5s 300.0 ¢ to 381.8 ¢
Major 7-mosstep M7ms 3L + 4s 381.8 ¢ to 450.0 ¢
8-mosstep Diminished 8-mosstep d8ms 2L + 6s 300.0 ¢ to 436.4 ¢
Perfect 8-mosstep P8ms 3L + 5s 436.4 ¢ to 450.0 ¢
9-mosstep Minor 9-mosstep m9ms 3L + 6s 450.0 ¢ to 490.9 ¢
Major 9-mosstep M9ms 4L + 5s 490.9 ¢ to 600.0 ¢
10-mosstep Minor 10-mosstep m10ms 3L + 7s 450.0 ¢ to 545.5 ¢
Major 10-mosstep M10ms 4L + 6s 545.5 ¢ to 600.0 ¢
11-mosstep Perfect 11-mosstep P11ms 4L + 7s 600.0 ¢
12-mosstep Minor 12-mosstep m12ms 4L + 8s 600.0 ¢ to 654.5 ¢
Major 12-mosstep M12ms 5L + 7s 654.5 ¢ to 750.0 ¢
13-mosstep Minor 13-mosstep m13ms 4L + 9s 600.0 ¢ to 709.1 ¢
Major 13-mosstep M13ms 5L + 8s 709.1 ¢ to 750.0 ¢
14-mosstep Perfect 14-mosstep P14ms 5L + 9s 750.0 ¢ to 763.6 ¢
Augmented 14-mosstep A14ms 6L + 8s 763.6 ¢ to 900.0 ¢
15-mosstep Minor 15-mosstep m15ms 5L + 10s 750.0 ¢ to 818.2 ¢
Major 15-mosstep M15ms 6L + 9s 818.2 ¢ to 900.0 ¢
16-mosstep Minor 16-mosstep m16ms 5L + 11s 750.0 ¢ to 872.7 ¢
Major 16-mosstep M16ms 6L + 10s 872.7 ¢ to 900.0 ¢
17-mosstep Minor 17-mosstep m17ms 6L + 11s 900.0 ¢ to 927.3 ¢
Major 17-mosstep M17ms 7L + 10s 927.3 ¢ to 1050.0 ¢
18-mosstep Minor 18-mosstep m18ms 6L + 12s 900.0 ¢ to 981.8 ¢
Major 18-mosstep M18ms 7L + 11s 981.8 ¢ to 1050.0 ¢
19-mosstep Diminished 19-mosstep d19ms 6L + 13s 900.0 ¢ to 1036.4 ¢
Perfect 19-mosstep P19ms 7L + 12s 1036.4 ¢ to 1050.0 ¢
20-mosstep Minor 20-mosstep m20ms 7L + 13s 1050.0 ¢ to 1090.9 ¢
Major 20-mosstep M20ms 8L + 12s 1090.9 ¢ to 1200.0 ¢
21-mosstep Minor 21-mosstep m21ms 7L + 14s 1050.0 ¢ to 1145.5 ¢
Major 21-mosstep M21ms 8L + 13s 1145.5 ¢ to 1200.0 ¢
22-mosstep Perfect 22-mosstep P22ms 8L + 14s 1200.0 ¢

Scale tree

Icon-Deprecated.png Scale tree is deprecated. Please use Template: MOS tuning spectrum instead.
Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: 
{{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}


The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.


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


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