6L 15s

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↖ 5L 14s ↑ 6L 14s 7L 14s ↗
← 5L 15s 6L 15s 7L 15s →
↙ 5L 16s ↓ 6L 16s 7L 16s ↘
Scale structure
Step pattern LssLsssLssLsssLssLsss
sssLssLsssLssLsssLssL
Equave 2/1 (1200.0 ¢)
Period 1\3 (400.0 ¢)
Generator size
Bright 3\21 to 1\6 (171.4 ¢ to 200.0 ¢)
Dark 1\6 to 4\21 (200.0 ¢ to 228.6 ¢)
TAMNAMS information
Related to 6L 3s (hyrulic)
With tunings 3:1 to 1:0 (hard)
Related MOS scales
Parent 6L 9s
Sister 15L 6s
Daughters 21L 6s, 6L 21s
Neutralized 12L 9s
2-Flought 27L 15s, 6L 36s
Equal tunings
Equalized (L:s = 1:1) 3\21 (171.4 ¢)
Supersoft (L:s = 4:3) 10\69 (173.9 ¢)
Soft (L:s = 3:2) 7\48 (175.0 ¢)
Semisoft (L:s = 5:3) 11\75 (176.0 ¢)
Basic (L:s = 2:1) 4\27 (177.8 ¢)
Semihard (L:s = 5:2) 9\60 (180.0 ¢)
Hard (L:s = 3:1) 5\33 (181.8 ¢)
Superhard (L:s = 4:1) 6\39 (184.6 ¢)
Collapsed (L:s = 1:0) 1\6 (200.0 ¢)
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6L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 15 small steps, with a period of 2 large steps and 5 small steps that repeats every 400.0 ¢, or 3 times every octave. 6L 15s is a grandchild scale of 6L 3s, expanding it by 12 tones. Generators that produce this scale range from 171.4 ¢ to 200 ¢, or from 200 ¢ to 228.6 ¢.

Modes

Modes of 6L 15s
UDP Cyclic
order		 Step
pattern
18|0(3) 1 LssLsssLssLsssLssLsss
15|3(3) 4 LsssLssLsssLssLsssLss
12|6(3) 7 sLssLsssLssLsssLssLss
9|9(3) 3 sLsssLssLsssLssLsssLs
6|12(3) 6 ssLssLsssLssLsssLssLs
3|15(3) 2 ssLsssLssLsssLssLsssL
0|18(3) 5 sssLssLsssLssLsssLssL

Intervals

Intervals of 6L 15s
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 57.1 ¢
Major 1-mosstep M1ms L 57.1 ¢ to 200.0 ¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0 ¢ to 114.3 ¢
Major 2-mosstep M2ms L + s 114.3 ¢ to 200.0 ¢
3-mosstep Diminished 3-mosstep d3ms 3s 0.0 ¢ to 171.4 ¢
Perfect 3-mosstep P3ms L + 2s 171.4 ¢ to 200.0 ¢
4-mosstep Perfect 4-mosstep P4ms L + 3s 200.0 ¢ to 228.6 ¢
Augmented 4-mosstep A4ms 2L + 2s 228.6 ¢ to 400.0 ¢
5-mosstep Minor 5-mosstep m5ms L + 4s 200.0 ¢ to 285.7 ¢
Major 5-mosstep M5ms 2L + 3s 285.7 ¢ to 400.0 ¢
6-mosstep Minor 6-mosstep m6ms L + 5s 200.0 ¢ to 342.9 ¢
Major 6-mosstep M6ms 2L + 4s 342.9 ¢ to 400.0 ¢
7-mosstep Perfect 7-mosstep P7ms 2L + 5s 400.0 ¢
8-mosstep Minor 8-mosstep m8ms 2L + 6s 400.0 ¢ to 457.1 ¢
Major 8-mosstep M8ms 3L + 5s 457.1 ¢ to 600.0 ¢
9-mosstep Minor 9-mosstep m9ms 2L + 7s 400.0 ¢ to 514.3 ¢
Major 9-mosstep M9ms 3L + 6s 514.3 ¢ to 600.0 ¢
10-mosstep Diminished 10-mosstep d10ms 2L + 8s 400.0 ¢ to 571.4 ¢
Perfect 10-mosstep P10ms 3L + 7s 571.4 ¢ to 600.0 ¢
11-mosstep Perfect 11-mosstep P11ms 3L + 8s 600.0 ¢ to 628.6 ¢
Augmented 11-mosstep A11ms 4L + 7s 628.6 ¢ to 800.0 ¢
12-mosstep Minor 12-mosstep m12ms 3L + 9s 600.0 ¢ to 685.7 ¢
Major 12-mosstep M12ms 4L + 8s 685.7 ¢ to 800.0 ¢
13-mosstep Minor 13-mosstep m13ms 3L + 10s 600.0 ¢ to 742.9 ¢
Major 13-mosstep M13ms 4L + 9s 742.9 ¢ to 800.0 ¢
14-mosstep Perfect 14-mosstep P14ms 4L + 10s 800.0 ¢
15-mosstep Minor 15-mosstep m15ms 4L + 11s 800.0 ¢ to 857.1 ¢
Major 15-mosstep M15ms 5L + 10s 857.1 ¢ to 1000.0 ¢
16-mosstep Minor 16-mosstep m16ms 4L + 12s 800.0 ¢ to 914.3 ¢
Major 16-mosstep M16ms 5L + 11s 914.3 ¢ to 1000.0 ¢
17-mosstep Diminished 17-mosstep d17ms 4L + 13s 800.0 ¢ to 971.4 ¢
Perfect 17-mosstep P17ms 5L + 12s 971.4 ¢ to 1000.0 ¢
18-mosstep Perfect 18-mosstep P18ms 5L + 13s 1000.0 ¢ to 1028.6 ¢
Augmented 18-mosstep A18ms 6L + 12s 1028.6 ¢ to 1200.0 ¢
19-mosstep Minor 19-mosstep m19ms 5L + 14s 1000.0 ¢ to 1085.7 ¢
Major 19-mosstep M19ms 6L + 13s 1085.7 ¢ to 1200.0 ¢
20-mosstep Minor 20-mosstep m20ms 5L + 15s 1000.0 ¢ to 1142.9 ¢
Major 20-mosstep M20ms 6L + 14s 1142.9 ¢ to 1200.0 ¢
21-mosstep Perfect 21-mosstep P21ms 6L + 15s 1200.0 ¢

Scale tree

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details:
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 6L 15s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
3\21 171.429 228.571 1:1 1.000 Equalized 6L 15s
16\111 172.973 227.027 6:5 1.200
13\90 173.333 226.667 5:4 1.250
23\159 173.585 226.415 9:7 1.286
10\69 173.913 226.087 4:3 1.333 Supersoft 6L 15s
27\186 174.194 225.806 11:8 1.375
17\117 174.359 225.641 7:5 1.400
24\165 174.545 225.455 10:7 1.429
7\48 175.000 225.000 3:2 1.500 Soft 6L 15s
25\171 175.439 224.561 11:7 1.571
18\123 175.610 224.390 8:5 1.600
29\198 175.758 224.242 13:8 1.625
11\75 176.000 224.000 5:3 1.667 Semisoft 6L 15s
26\177 176.271 223.729 12:7 1.714
15\102 176.471 223.529 7:4 1.750
19\129 176.744 223.256 9:5 1.800
4\27 177.778 222.222 2:1 2.000 Basic 6L 15s
Scales with tunings softer than this are proper
17\114 178.947 221.053 9:4 2.250
13\87 179.310 220.690 7:3 2.333
22\147 179.592 220.408 12:5 2.400
9\60 180.000 220.000 5:2 2.500 Semihard 6L 15s
23\153 180.392 219.608 13:5 2.600
14\93 180.645 219.355 8:3 2.667
19\126 180.952 219.048 11:4 2.750
5\33 181.818 218.182 3:1 3.000 Hard 6L 15s
16\105 182.857 217.143 10:3 3.333
11\72 183.333 216.667 7:2 3.500
17\111 183.784 216.216 11:3 3.667
6\39 184.615 215.385 4:1 4.000 Superhard 6L 15s
13\84 185.714 214.286 9:2 4.500
7\45 186.667 213.333 5:1 5.000
8\51 188.235 211.765 6:1 6.000
1\6 200.000 200.000 1:0 → ∞ Collapsed 6L 15s


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