6L 8s

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↖ 5L 7s ↑ 6L 7s 7L 7s ↗
← 5L 8s 6L 8s 7L 8s →
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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
Related to 6L 2s (ekic)
With tunings 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 ¢.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

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 ¢

Generator chain

Generator chain of 6L 8s
Bright gens Scale degree Abbrev. Scale degree Abbrev.
9 Augmented 4-mosdegree A4md Augmented 11-mosdegree A11md
8 Augmented 2-mosdegree A2md Augmented 9-mosdegree A9md
7 Augmented 0-mosdegree A0md Augmented 7-mosdegree A7md
6 Augmented 5-mosdegree A5md Augmented 12-mosdegree A12md
5 Major 3-mosdegree M3md Major 10-mosdegree M10md
4 Major 1-mosdegree M1md Major 8-mosdegree M8md
3 Major 6-mosdegree M6md Major 13-mosdegree M13md
2 Major 4-mosdegree M4md Major 11-mosdegree M11md
1 Perfect 2-mosdegree P2md Perfect 9-mosdegree P9md
0 Perfect 0-mosdegree
Perfect 7-mosdegree		 P0md
P7md		 Perfect 7-mosdegree
Perfect 14-mosdegree		 P7md
P14md
−1 Perfect 5-mosdegree P5md Perfect 12-mosdegree P12md
−2 Minor 3-mosdegree m3md Minor 10-mosdegree m10md
−3 Minor 1-mosdegree m1md Minor 8-mosdegree m8md
−4 Minor 6-mosdegree m6md Minor 13-mosdegree m13md
−5 Minor 4-mosdegree m4md Minor 11-mosdegree m11md
−6 Diminished 2-mosdegree d2md Diminished 9-mosdegree d9md
−7 Diminished 7-mosdegree d7md Diminished 14-mosdegree d14md
−8 Diminished 5-mosdegree d5md Diminished 12-mosdegree d12md
−9 Diminished 3-mosdegree d3md Diminished 10-mosdegree d10md

Modes

Scale degrees of the modes of 6L 8s
UDP Cyclic
order 		Step
pattern 		Scale degree (mosdegree)
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
12|0(2) 1 LsLsLssLsLsLss Perf. Maj. Perf. Maj. Maj. Aug. Maj. Perf. Maj. Perf. Maj. Maj. Aug. Maj. Perf.
10|2(2) 3 LsLssLsLsLssLs Perf. Maj. Perf. Maj. Maj. Perf. Maj. Perf. Maj. Perf. Maj. Maj. Perf. Maj. Perf.
8|4(2) 5 LssLsLsLssLsLs Perf. Maj. Perf. Min. Maj. Perf. Maj. Perf. Maj. Perf. Min. Maj. Perf. Maj. Perf.
6|6(2) 7 sLsLsLssLsLsLs Perf. Min. Perf. Min. Maj. Perf. Maj. Perf. Min. Perf. Min. Maj. Perf. Maj. Perf.
4|8(2) 2 sLsLssLsLsLssL Perf. Min. Perf. Min. Maj. Perf. Min. Perf. Min. Perf. Min. Maj. Perf. Min. Perf.
2|10(2) 4 sLssLsLsLssLsL Perf. Min. Perf. Min. Min. Perf. Min. Perf. Min. Perf. Min. Min. Perf. Min. Perf.
0|12(2) 6 ssLsLsLssLsLsL Perf. Min. Dim. Min. Min. Perf. Min. Perf. Min. Dim. Min. Min. Perf. Min. Perf.

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 Hendec and Unidec are around here
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 Secant is around here
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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