1L 13s: Difference between revisions

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'''1L 13s''' is the MOS pattern Lsssssssssssss with small steps ranging from 0\1 (0¢) to 1\14 (one step of [[14edo]] ≈ 85.7¢).
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{| class="wikitable"
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! colspan="8" | generator
! colspan="8" | generator

Revision as of 05:36, 22 February 2024

↑ 1L 12s 2L 12s ↗
1L 13s 2L 13s →
↓ 1L 14s 2L 14s ↘
Scale structure
Step pattern Lsssssssssssss
sssssssssssssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 13\14 to 1\1 (1114.3 ¢ to 1200.0 ¢)
Dark 0\1 to 1\14 (0.0 ¢ to 85.7 ¢)
TAMNAMS information
Related to 1L 9s (antisinatonic)
With tunings 5:1 to 1:0
Related MOS scales
Parent 1L 12s
Sister 13L 1s
Daughters 14L 1s, 1L 14s
Neutralized 2L 12s
2-Flought 15L 13s, 1L 27s
Equal tunings
Equalized (L:s = 1:1) 13\14 (1114.3 ¢)
Supersoft (L:s = 4:3) 40\43 (1116.3 ¢)
Soft (L:s = 3:2) 27\29 (1117.2 ¢)
Semisoft (L:s = 5:3) 41\44 (1118.2 ¢)
Basic (L:s = 2:1) 14\15 (1120.0 ¢)
Semihard (L:s = 5:2) 29\31 (1122.6 ¢)
Hard (L:s = 3:1) 15\16 (1125.0 ¢)
Superhard (L:s = 4:1) 16\17 (1129.4 ¢)
Collapsed (L:s = 1:0) 1\1 (1200.0 ¢)
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1L 13s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 13 small steps, repeating every octave. 1L 13s is related to 1L 9s, expanding it by 4 tones. Generators that produce this scale range from 1114.3 ¢ to 1200 ¢, or from 0 ¢ to 85.7 ¢.

generator L s L/s gen (cents) comment
0\1 1 0 0.000
1\21 8 1 8.000 57.143
1\20 7 1 7.000 60.000
1\19 6 1 6.000 63.158
2\37 11 2 5.500 64.865
1\18 5 1 5.000 66.667
3\53 14 3 4.667 67.925
2\35 9 2 4.500 68.571
3\52 13 3 4.333 69.231
1\17 4 1 4.000 70.588
4\67 15 4 3.750 71.642
3\50 11 3 3.667 72.000
5\83 18 5 3.600 72.289
2\33 7 2 3.500 72.727
5\82 17 5 3.400 73.171
3\49 10 3 3.333 73.469
4\65 13 4 3.250 73.846
1\16 3 1 3.000 75.000
5\79 14 5 2.800 75.949
4\63 11 4 2.750 76.190
3\47 8 3 2.667 76.596
5\78 13 5 2.600 76.923
2\31 5 2 2.500 77.419
5\77 12 5 2.400 77.922
3\46 7 3 2.333 78.261
4\61 9 4 2.250 78.689
5\76 11 5 2.200 78.947
1\15 2 1 2.000 80.000
6\89 11 6 1.833 80.899
5\74 9 5 1.800 81.081
4\59 7 4 1.750 81.356
3\44 5 3 1.667 81.818 Nautilus is around here
5\73 8 5 1.600 82.192
2\29 3 2 1.500 82.759
5\72 7 5 1.400 83.333
3\43 4 3 1.333 83.721
4\57 5 4 1.250 84.211
5\71 6 5 1.200 84.507
6\85 7 6 1.167 84.706
7\99 8 7 1.143 84.8485
1\14 1 1 1.000 85.714