14L 6s

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↖ 13L 5s ↑ 14L 5s 15L 5s ↗
← 13L 6s 14L 6s 15L 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

Intervals

Intervals of 14L 6s
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 60.0 ¢
Major 1-mosstep M1ms L 60.0 ¢ to 85.7 ¢
2-mosstep Minor 2-mosstep m2ms L + s 85.7 ¢ to 120.0 ¢
Major 2-mosstep M2ms 2L 120.0 ¢ to 171.4 ¢
3-mosstep Perfect 3-mosstep P3ms 2L + s 171.4 ¢ to 180.0 ¢
Augmented 3-mosstep A3ms 3L 180.0 ¢ to 257.1 ¢
4-mosstep Minor 4-mosstep m4ms 2L + 2s 171.4 ¢ to 240.0 ¢
Major 4-mosstep M4ms 3L + s 240.0 ¢ to 257.1 ¢
5-mosstep Minor 5-mosstep m5ms 3L + 2s 257.1 ¢ to 300.0 ¢
Major 5-mosstep M5ms 4L + s 300.0 ¢ to 342.9 ¢
6-mosstep Minor 6-mosstep m6ms 4L + 2s 342.9 ¢ to 360.0 ¢
Major 6-mosstep M6ms 5L + s 360.0 ¢ to 428.6 ¢
7-mosstep Diminished 7-mosstep d7ms 4L + 3s 342.9 ¢ to 420.0 ¢
Perfect 7-mosstep P7ms 5L + 2s 420.0 ¢ to 428.6 ¢
8-mosstep Minor 8-mosstep m8ms 5L + 3s 428.6 ¢ to 480.0 ¢
Major 8-mosstep M8ms 6L + 2s 480.0 ¢ to 514.3 ¢
9-mosstep Minor 9-mosstep m9ms 6L + 3s 514.3 ¢ to 540.0 ¢
Major 9-mosstep M9ms 7L + 2s 540.0 ¢ to 600.0 ¢
10-mosstep Perfect 10-mosstep P10ms 7L + 3s 600.0 ¢
11-mosstep Minor 11-mosstep m11ms 7L + 4s 600.0 ¢ to 660.0 ¢
Major 11-mosstep M11ms 8L + 3s 660.0 ¢ to 685.7 ¢
12-mosstep Minor 12-mosstep m12ms 8L + 4s 685.7 ¢ to 720.0 ¢
Major 12-mosstep M12ms 9L + 3s 720.0 ¢ to 771.4 ¢
13-mosstep Perfect 13-mosstep P13ms 9L + 4s 771.4 ¢ to 780.0 ¢
Augmented 13-mosstep A13ms 10L + 3s 780.0 ¢ to 857.1 ¢
14-mosstep Minor 14-mosstep m14ms 9L + 5s 771.4 ¢ to 840.0 ¢
Major 14-mosstep M14ms 10L + 4s 840.0 ¢ to 857.1 ¢
15-mosstep Minor 15-mosstep m15ms 10L + 5s 857.1 ¢ to 900.0 ¢
Major 15-mosstep M15ms 11L + 4s 900.0 ¢ to 942.9 ¢
16-mosstep Minor 16-mosstep m16ms 11L + 5s 942.9 ¢ to 960.0 ¢
Major 16-mosstep M16ms 12L + 4s 960.0 ¢ to 1028.6 ¢
17-mosstep Diminished 17-mosstep d17ms 11L + 6s 942.9 ¢ to 1020.0 ¢
Perfect 17-mosstep P17ms 12L + 5s 1020.0 ¢ to 1028.6 ¢
18-mosstep Minor 18-mosstep m18ms 12L + 6s 1028.6 ¢ to 1080.0 ¢
Major 18-mosstep M18ms 13L + 5s 1080.0 ¢ to 1114.3 ¢
19-mosstep Minor 19-mosstep m19ms 13L + 6s 1114.3 ¢ to 1140.0 ¢
Major 19-mosstep M19ms 14L + 5s 1140.0 ¢ to 1200.0 ¢
20-mosstep Perfect 20-mosstep P20ms 14L + 6s 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 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


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