8L 1s

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Scale structure
Step pattern LLLLLLLLs
sLLLLLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 1\9 to 1\8 (133.3 ¢ to 150.0 ¢)
Dark 7\8 to 8\9 (1050.0 ¢ to 1066.7 ¢)
TAMNAMS information
Name subneutralic
Prefix blu-
Abbrev. blu
Related MOS scales
Parent 1L 7s
Sister 1L 8s
Daughters 9L 8s, 8L 9s
Neutralized 7L 2s
2-Flought 17L 1s, 8L 10s
Equal tunings
Equalized (L:s = 1:1) 1\9 (133.3 ¢)
Supersoft (L:s = 4:3) 4\35 (137.1 ¢)
Soft (L:s = 3:2) 3\26 (138.5 ¢)
Semisoft (L:s = 5:3) 5\43 (139.5 ¢)
Basic (L:s = 2:1) 2\17 (141.2 ¢)
Semihard (L:s = 5:2) 5\42 (142.9 ¢)
Hard (L:s = 3:1) 3\25 (144.0 ¢)
Superhard (L:s = 4:1) 4\33 (145.5 ¢)
Collapsed (L:s = 1:0) 1\8 (150.0 ¢)

8L 1s, named subneutralic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 1 small step, repeating every octave. Generators that produce this scale range from 133.3 ¢ to 150 ¢, or from 1050 ¢ to 1066.7 ¢. Scales of this form are always proper because there is only one small step.

8L 1s generates a scale similar to nonatonic Indonesian gamelan scales (i.e. Pelog and Slendro plus 4 of the 12 microtonal adjustments from the theories of Sundanese composer-muiscologist-teacher Raden Machjar Angga Koesoemadinata or a median between the two) with a generator narrower than 2\17edo, and a largely-unknown scale family with a wider generator.

Intervals

Intervals of 8L 1s
Intervals Steps
subtended 		Range in cents
Generic Specific Abbrev.
0-blustep Perfect 0-blustep P0blus 0 0.0 ¢
1-blustep Diminished 1-blustep d1blus s 0.0 ¢ to 133.3 ¢
Perfect 1-blustep P1blus L 133.3 ¢ to 150.0 ¢
2-blustep Minor 2-blustep m2blus L + s 150.0 ¢ to 266.7 ¢
Major 2-blustep M2blus 2L 266.7 ¢ to 300.0 ¢
3-blustep Minor 3-blustep m3blus 2L + s 300.0 ¢ to 400.0 ¢
Major 3-blustep M3blus 3L 400.0 ¢ to 450.0 ¢
4-blustep Minor 4-blustep m4blus 3L + s 450.0 ¢ to 533.3 ¢
Major 4-blustep M4blus 4L 533.3 ¢ to 600.0 ¢
5-blustep Minor 5-blustep m5blus 4L + s 600.0 ¢ to 666.7 ¢
Major 5-blustep M5blus 5L 666.7 ¢ to 750.0 ¢
6-blustep Minor 6-blustep m6blus 5L + s 750.0 ¢ to 800.0 ¢
Major 6-blustep M6blus 6L 800.0 ¢ to 900.0 ¢
7-blustep Minor 7-blustep m7blus 6L + s 900.0 ¢ to 933.3 ¢
Major 7-blustep M7blus 7L 933.3 ¢ to 1050.0 ¢
8-blustep Perfect 8-blustep P8blus 7L + s 1050.0 ¢ to 1066.7 ¢
Augmented 8-blustep A8blus 8L 1066.7 ¢ to 1200.0 ¢
9-blustep Perfect 9-blustep P9blus 8L + s 1200.0 ¢

Modes

Scale degrees of the modes of 8L 1s
UDP Cyclic
order 		Step
pattern 		Scale degree (bludegree)
0 1 2 3 4 5 6 7 8 9
8|0 1 LLLLLLLLs Perf. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Aug. Perf.
7|1 2 LLLLLLLsL Perf. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Perf.
6|2 3 LLLLLLsLL Perf. Perf. Maj. Maj. Maj. Maj. Maj. Min. Perf. Perf.
5|3 4 LLLLLsLLL Perf. Perf. Maj. Maj. Maj. Maj. Min. Min. Perf. Perf.
4|4 5 LLLLsLLLL Perf. Perf. Maj. Maj. Maj. Min. Min. Min. Perf. Perf.
3|5 6 LLLsLLLLL Perf. Perf. Maj. Maj. Min. Min. Min. Min. Perf. Perf.
2|6 7 LLsLLLLLL Perf. Perf. Maj. Min. Min. Min. Min. Min. Perf. Perf.
1|7 8 LsLLLLLLL Perf. Perf. Min. Min. Min. Min. Min. Min. Perf. Perf.
0|8 9 sLLLLLLLL Perf. Dim. Min. Min. Min. Min. Min. Min. Perf. Perf.

Scale tree

Scale tree and tuning spectrum of 8L 1s
Generator(edo) Cents Step ratio Comments(always proper)
Bright Dark L:s Hardness
1\9 133.333 1066.667 1:1 1.000 Equalized 8L 1s
6\53 135.849 1064.151 6:5 1.200
5\44 136.364 1063.636 5:4 1.250
9\79 136.709 1063.291 9:7 1.286
4\35 137.143 1062.857 4:3 1.333 Supersoft 8L 1s
11\96 137.500 1062.500 11:8 1.375
7\61 137.705 1062.295 7:5 1.400
10\87 137.931 1062.069 10:7 1.429
3\26 138.462 1061.538 3:2 1.500 Soft 8L 1s
11\95 138.947 1061.053 11:7 1.571
8\69 139.130 1060.870 8:5 1.600
13\112 139.286 1060.714 13:8 1.625
5\43 139.535 1060.465 5:3 1.667 Semisoft 8L 1s
12\103 139.806 1060.194 12:7 1.714
7\60 140.000 1060.000 7:4 1.750 Bleu is around here
9\77 140.260 1059.740 9:5 1.800 Tsaharuk and Quanic are around here
2\17 141.176 1058.824 2:1 2.000 Basic 8L 1s
9\76 142.105 1057.895 9:4 2.250
7\59 142.373 1057.627 7:3 2.333
12\101 142.574 1057.426 12:5 2.400
5\42 142.857 1057.143 5:2 2.500 Semihard 8L 1s
13\109 143.119 1056.881 13:5 2.600
8\67 143.284 1056.716 8:3 2.667
11\92 143.478 1056.522 11:4 2.750
3\25 144.000 1056.000 3:1 3.000 Hard 8L 1s
10\83 144.578 1055.422 10:3 3.333
7\58 144.828 1055.172 7:2 3.500
11\91 145.055 1054.945 11:3 3.667
4\33 145.455 1054.545 4:1 4.000 Superhard 8L 1s
9\74 145.946 1054.054 9:2 4.500
5\41 146.341 1053.659 5:1 5.000 Bohpier is around here
6\49 146.939 1053.061 6:1 6.000
1\8 150.000 1050.000 1:0 → ∞ Collapsed 8L 1s
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