15L 1s

Revision as of 05:37, 22 February 2024 by Ganaram inukshuk (talk | contribs) (Mos intro)
← 14L 1s 15L 1s 16L 1s →
↙ 14L 2s ↓ 15L 2s 16L 2s ↘
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└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLLLLLLLLLLLLs
sLLLLLLLLLLLLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 1\16 to 1\15 (75.0 ¢ to 80.0 ¢)
Dark 14\15 to 15\16 (1120.0 ¢ to 1125.0 ¢)
TAMNAMS information
Related to 1L 9s (antisinatonic)
With tunings 6:1 to 7:1
Related MOS scales
Parent 1L 14s
Sister 1L 15s
Daughters 16L 15s, 15L 16s
Neutralized 14L 2s
2-Flought 31L 1s, 15L 17s
Equal tunings
Equalized (L:s = 1:1) 1\16 (75.0 ¢)
Supersoft (L:s = 4:3) 4\63 (76.2 ¢)
Soft (L:s = 3:2) 3\47 (76.6 ¢)
Semisoft (L:s = 5:3) 5\78 (76.9 ¢)
Basic (L:s = 2:1) 2\31 (77.4 ¢)
Semihard (L:s = 5:2) 5\77 (77.9 ¢)
Hard (L:s = 3:1) 3\46 (78.3 ¢)
Superhard (L:s = 4:1) 4\61 (78.7 ¢)
Collapsed (L:s = 1:0) 1\15 (80.0 ¢)

15L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 15 large steps and 1 small step, repeating every octave. 15L 1s is related to 1L 9s, expanding it by 6 tones. Generators that produce this scale range from 75 ¢ to 80 ¢, or from 1120 ¢ to 1125 ¢. Scales of this form are always proper because there is only one small step. It is notable for corresponding to valentine[16].

Scale tree

generator L s L/s gen (cents) comment
1\15 1 0 80.000
9\136 9 1 9.000 79.412
8\121 8 1 8.000 79.339
7\106 7 1 7.000 79.245
6\91 6 1 6.000 79.121
5\76 5 1 5.000 78.947
4\61 4 1 4.000 78.689
7\107 7 2 3.500 78.505
3\46 3 1 3.000 78.261
8\123 8 3 2.667 78.049
5\77 5 2 2.500 77.922
7\108 7 3 2.333 77.778 Valentine is around here
2\31 2 1 2.000 77.419
7\109 7 4 1.750 77.064 Tertia / Tertiaseptal are around here
5\78 5 3 1.667 76.923
8\125 8 5 1.600 76.800
3\47 3 2 1.500 76.596
7\110 7 5 1.400 76.364
4\63 4 3 1.333 76.190
5\79 5 4 1.250 75.949
6\95 6 5 1.200 75.789
7\111 7 6 1.167 75.676
8\127 8 7 1.143 75.591
9\143 9 8 1.125 75.5245
1\16 1 1 1.000 75.000