8L 8s

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Scale structure
Step pattern LsLsLsLsLsLsLsLs
sLsLsLsLsLsLsLsL
Equave 2/1 (1200.0 ¢)
Period 1\8 (150.0 ¢)
Generator size
Bright 1\16 to 1\8 (75.0 ¢ to 150.0 ¢)
Dark 0\8 to 1\16 (0.0 ¢ to 75.0 ¢)
Related MOS scales
Parent none
Sister 8L 8s (self)
Daughters 16L 8s, 8L 16s
Neutralized 16edo
2-Flought 24L 8s, 8L 24s
Equal tunings
Equalized (L:s = 1:1) 1\16 (75.0 ¢)
Supersoft (L:s = 4:3) 4\56 (85.7 ¢)
Soft (L:s = 3:2) 3\40 (90.0 ¢)
Semisoft (L:s = 5:3) 5\64 (93.8 ¢)
Basic (L:s = 2:1) 2\24 (100.0 ¢)
Semihard (L:s = 5:2) 5\56 (107.1 ¢)
Hard (L:s = 3:1) 3\32 (112.5 ¢)
Superhard (L:s = 4:1) 4\40 (120.0 ¢)
Collapsed (L:s = 1:0) 1\8 (150.0 ¢)

8L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 8 small steps, with a period of 1 large step and 1 small step that repeats every 150.0 ¢, or 8 times every octave. Generators that produce this scale range from 75 ¢ to 150 ¢, or from 0 ¢ to 75 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

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 diatonic interval categories.

Intervals

Intervals of 8L 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 75.0 ¢
Major 1-mosstep M1ms L 75.0 ¢ to 150.0 ¢
2-mosstep Perfect 2-mosstep P2ms L + s 150.0 ¢
3-mosstep Minor 3-mosstep m3ms L + 2s 150.0 ¢ to 225.0 ¢
Major 3-mosstep M3ms 2L + s 225.0 ¢ to 300.0 ¢
4-mosstep Perfect 4-mosstep P4ms 2L + 2s 300.0 ¢
5-mosstep Minor 5-mosstep m5ms 2L + 3s 300.0 ¢ to 375.0 ¢
Major 5-mosstep M5ms 3L + 2s 375.0 ¢ to 450.0 ¢
6-mosstep Perfect 6-mosstep P6ms 3L + 3s 450.0 ¢
7-mosstep Minor 7-mosstep m7ms 3L + 4s 450.0 ¢ to 525.0 ¢
Major 7-mosstep M7ms 4L + 3s 525.0 ¢ to 600.0 ¢
8-mosstep Perfect 8-mosstep P8ms 4L + 4s 600.0 ¢
9-mosstep Minor 9-mosstep m9ms 4L + 5s 600.0 ¢ to 675.0 ¢
Major 9-mosstep M9ms 5L + 4s 675.0 ¢ to 750.0 ¢
10-mosstep Perfect 10-mosstep P10ms 5L + 5s 750.0 ¢
11-mosstep Minor 11-mosstep m11ms 5L + 6s 750.0 ¢ to 825.0 ¢
Major 11-mosstep M11ms 6L + 5s 825.0 ¢ to 900.0 ¢
12-mosstep Perfect 12-mosstep P12ms 6L + 6s 900.0 ¢
13-mosstep Minor 13-mosstep m13ms 6L + 7s 900.0 ¢ to 975.0 ¢
Major 13-mosstep M13ms 7L + 6s 975.0 ¢ to 1050.0 ¢
14-mosstep Perfect 14-mosstep P14ms 7L + 7s 1050.0 ¢
15-mosstep Minor 15-mosstep m15ms 7L + 8s 1050.0 ¢ to 1125.0 ¢
Major 15-mosstep M15ms 8L + 7s 1125.0 ¢ to 1200.0 ¢
16-mosstep Perfect 16-mosstep P16ms 8L + 8s 1200.0 ¢

Generator chain

Generator chain of 8L 8s
Bright gens Scale degree Abbrev. Scale degree Abbrev. Scale degree Abbrev. Scale degree Abbrev. Scale degree Abbrev. Scale degree Abbrev. Scale degree Abbrev. Scale degree Abbrev.
2 Augmented 0-mosdegree A0md Augmented 2-mosdegree A2md Augmented 4-mosdegree A4md Augmented 6-mosdegree A6md Augmented 8-mosdegree A8md Augmented 10-mosdegree A10md Augmented 12-mosdegree A12md Augmented 14-mosdegree A14md
1 Major 1-mosdegree M1md Major 3-mosdegree M3md Major 5-mosdegree M5md Major 7-mosdegree M7md Major 9-mosdegree M9md Major 11-mosdegree M11md Major 13-mosdegree M13md Major 15-mosdegree M15md
0 Perfect 0-mosdegree
Perfect 2-mosdegree		 P0md
P2md		 Perfect 2-mosdegree
Perfect 4-mosdegree		 P2md
P4md		 Perfect 4-mosdegree
Perfect 6-mosdegree		 P4md
P6md		 Perfect 6-mosdegree
Perfect 8-mosdegree		 P6md
P8md		 Perfect 8-mosdegree
Perfect 10-mosdegree		 P8md
P10md		 Perfect 10-mosdegree
Perfect 12-mosdegree		 P10md
P12md		 Perfect 12-mosdegree
Perfect 14-mosdegree		 P12md
P14md		 Perfect 14-mosdegree
Perfect 16-mosdegree		 P14md
P16md
−1 Minor 1-mosdegree m1md Minor 3-mosdegree m3md Minor 5-mosdegree m5md Minor 7-mosdegree m7md Minor 9-mosdegree m9md Minor 11-mosdegree m11md Minor 13-mosdegree m13md Minor 15-mosdegree m15md
−2 Diminished 2-mosdegree d2md Diminished 4-mosdegree d4md Diminished 6-mosdegree d6md Diminished 8-mosdegree d8md Diminished 10-mosdegree d10md Diminished 12-mosdegree d12md Diminished 14-mosdegree d14md Diminished 16-mosdegree d16md

Modes

Scale degrees of the modes of 8L 8s
UDP Cyclic
order 		Step
pattern 		Scale degree (mosdegree)
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
8|0(8) 1 LsLsLsLsLsLsLsLs Perf. Maj. Perf. Maj. Perf. Maj. Perf. Maj. Perf. Maj. Perf. Maj. Perf. Maj. Perf. Maj. Perf.
0|8(8) 2 sLsLsLsLsLsLsLsL Perf. Min. Perf. Min. Perf. Min. Perf. Min. Perf. Min. Perf. Min. Perf. Min. Perf. Min. Perf.

Scale tree

Scale tree and tuning spectrum of 8L 8s
Generator(edo) Cents Step ratio Comments(always proper)
Bright Dark L:s Hardness
1\16 75.000 75.000 1:1 1.000 Equalized 8L 8s
6\88 81.818 68.182 6:5 1.200
5\72 83.333 66.667 5:4 1.250
9\128 84.375 65.625 9:7 1.286
4\56 85.714 64.286 4:3 1.333 Supersoft 8L 8s
11\152 86.842 63.158 11:8 1.375
7\96 87.500 62.500 7:5 1.400
10\136 88.235 61.765 10:7 1.429
3\40 90.000 60.000 3:2 1.500 Soft 8L 8s
11\144 91.667 58.333 11:7 1.571
8\104 92.308 57.692 8:5 1.600
13\168 92.857 57.143 13:8 1.625
5\64 93.750 56.250 5:3 1.667 Semisoft 8L 8s
12\152 94.737 55.263 12:7 1.714
7\88 95.455 54.545 7:4 1.750
9\112 96.429 53.571 9:5 1.800
2\24 100.000 50.000 2:1 2.000 Basic 8L 8s
9\104 103.846 46.154 9:4 2.250
7\80 105.000 45.000 7:3 2.333
12\136 105.882 44.118 12:5 2.400
5\56 107.143 42.857 5:2 2.500 Semihard 8L 8s
13\144 108.333 41.667 13:5 2.600
8\88 109.091 40.909 8:3 2.667
11\120 110.000 40.000 11:4 2.750
3\32 112.500 37.500 3:1 3.000 Hard 8L 8s
10\104 115.385 34.615 10:3 3.333
7\72 116.667 33.333 7:2 3.500
11\112 117.857 32.143 11:3 3.667
4\40 120.000 30.000 4:1 4.000 Superhard 8L 8s
9\88 122.727 27.273 9:2 4.500
5\48 125.000 25.000 5:1 5.000
6\56 128.571 21.429 6:1 6.000
1\8 150.000 0.000 1:0 → ∞ Collapsed 8L 8s
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