6L 8s

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↖ 5L 7s ↑ 6L 7s 7L 7s ↗
← 5L 8s 6L 8s 7L 8s →
↙ 5L 9s ↓ 6L 9s 7L 9s ↘ 
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└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLsLssLsLsLss
ssLsLsLssLsLsL
Equave 2/1 (1200.0¢)
Period 1\2 (600.0¢)
Generator size
Bright 2\14 to 1\6 (171.4¢ to 200.0¢)
Dark 2\6 to 5\14 (400.0¢ to 428.6¢)
TAMNAMS information
Descends from 6L 2s (ekic)
Ancestor's step ratio range 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 6L 2s
Sister 8L 6s
Daughters 14L 6s, 6L 14s
Neutralized 12L 2s
2-Flought 20L 8s, 6L 22s
Equal tunings
Equalized (L:s = 1:1) 2\14 (171.4¢)
Supersoft (L:s = 4:3) 7\48 (175.0¢)
Soft (L:s = 3:2) 5\34 (176.5¢)
Semisoft (L:s = 5:3) 8\54 (177.8¢)
Basic (L:s = 2:1) 3\20 (180.0¢)
Semihard (L:s = 5:2) 7\46 (182.6¢)
Hard (L:s = 3:1) 4\26 (184.6¢)
Superhard (L:s = 4:1) 5\32 (187.5¢)
Collapsed (L:s = 1:0) 1\6 (200.0¢)

6L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 8 small steps, with a period of 3 large steps and 4 small steps that repeats every 600.0¢, or twice every octave. 6L 8s is a child scale of 6L 2s, expanding it by 6 tones. Generators that produce this scale range from 171.4¢ to 200¢, or from 400¢ to 428.6¢.

Modes

Modes of 6L 8s
UDP Cyclic
order		 Step
pattern
12|0(2) 1 LsLsLssLsLsLss
10|2(2) 3 LsLssLsLsLssLs
8|4(2) 5 LssLsLsLssLsLs
6|6(2) 7 sLsLsLssLsLsLs
4|8(2) 2 sLsLssLsLsLssL
2|10(2) 4 sLssLsLsLssLsL
0|12(2) 6 ssLsLsLssLsLsL

Intervals

Intervals of 6L 8s
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 85.7¢
Major 1-mosstep M1ms L 85.7¢ to 200.0¢
2-mosstep Diminished 2-mosstep d2ms 2s 0.0¢ to 171.4¢
Perfect 2-mosstep P2ms L + s 171.4¢ to 200.0¢
3-mosstep Minor 3-mosstep m3ms L + 2s 200.0¢ to 257.1¢
Major 3-mosstep M3ms 2L + s 257.1¢ to 400.0¢
4-mosstep Minor 4-mosstep m4ms L + 3s 200.0¢ to 342.9¢
Major 4-mosstep M4ms 2L + 2s 342.9¢ to 400.0¢
5-mosstep Perfect 5-mosstep P5ms 2L + 3s 400.0¢ to 428.6¢
Augmented 5-mosstep A5ms 3L + 2s 428.6¢ to 600.0¢
6-mosstep Minor 6-mosstep m6ms 2L + 4s 400.0¢ to 514.3¢
Major 6-mosstep M6ms 3L + 3s 514.3¢ to 600.0¢
7-mosstep Perfect 7-mosstep P7ms 3L + 4s 600.0¢
8-mosstep Minor 8-mosstep m8ms 3L + 5s 600.0¢ to 685.7¢
Major 8-mosstep M8ms 4L + 4s 685.7¢ to 800.0¢
9-mosstep Diminished 9-mosstep d9ms 3L + 6s 600.0¢ to 771.4¢
Perfect 9-mosstep P9ms 4L + 5s 771.4¢ to 800.0¢
10-mosstep Minor 10-mosstep m10ms 4L + 6s 800.0¢ to 857.1¢
Major 10-mosstep M10ms 5L + 5s 857.1¢ to 1000.0¢
11-mosstep Minor 11-mosstep m11ms 4L + 7s 800.0¢ to 942.9¢
Major 11-mosstep M11ms 5L + 6s 942.9¢ to 1000.0¢
12-mosstep Perfect 12-mosstep P12ms 5L + 7s 1000.0¢ to 1028.6¢
Augmented 12-mosstep A12ms 6L + 6s 1028.6¢ to 1200.0¢
13-mosstep Minor 13-mosstep m13ms 5L + 8s 1000.0¢ to 1114.3¢
Major 13-mosstep M13ms 6L + 7s 1114.3¢ to 1200.0¢
14-mosstep Perfect 14-mosstep P14ms 6L + 8s 1200.0¢

Tuning spectrum

Icon-Todo.png Todo: review
Review entries from past page revision and enter them into the scale tree.
Scale Tree and Tuning Spectrum of 6L 8s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
2\14 171.429 428.571 1:1 1.000 Equalized 6L 8s
11\76 173.684 426.316 6:5 1.200
9\62 174.194 425.806 5:4 1.250
16\110 174.545 425.455 9:7 1.286
7\48 175.000 425.000 4:3 1.333 Supersoft 6L 8s
19\130 175.385 424.615 11:8 1.375
12\82 175.610 424.390 7:5 1.400
17\116 175.862 424.138 10:7 1.429
5\34 176.471 423.529 3:2 1.500 Soft 6L 8s
18\122 177.049 422.951 11:7 1.571
13\88 177.273 422.727 8:5 1.600
21\142 177.465 422.535 13:8 1.625
8\54 177.778 422.222 5:3 1.667 Semisoft 6L 8s
19\128 178.125 421.875 12:7 1.714
11\74 178.378 421.622 7:4 1.750
14\94 178.723 421.277 9:5 1.800
3\20 180.000 420.000 2:1 2.000 Basic 6L 8s
Scales with tunings softer than this are proper
13\86 181.395 418.605 9:4 2.250
10\66 181.818 418.182 7:3 2.333
17\112 182.143 417.857 12:5 2.400
7\46 182.609 417.391 5:2 2.500 Semihard 6L 8s
18\118 183.051 416.949 13:5 2.600
11\72 183.333 416.667 8:3 2.667
15\98 183.673 416.327 11:4 2.750
4\26 184.615 415.385 3:1 3.000 Hard 6L 8s
13\84 185.714 414.286 10:3 3.333
9\58 186.207 413.793 7:2 3.500
14\90 186.667 413.333 11:3 3.667
5\32 187.500 412.500 4:1 4.000 Superhard 6L 8s
11\70 188.571 411.429 9:2 4.500
6\38 189.474 410.526 5:1 5.000
7\44 190.909 409.091 6:1 6.000
1\6 200.000 400.000 1:0 → ∞ Collapsed 6L 8s


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