14L 1s

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Revision as of 13:27, 16 January 2023 by Eliora (talk | contribs) (it's safe to call it sextiliquartal because it covers the entire range)
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← 13L 1s 14L 1s 15L 1s →
↙ 13L 2s ↓ 14L 2s 15L 2s ↘
Scale structure
Step pattern LLLLLLLLLLLLLLs
sLLLLLLLLLLLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 1\15 to 1\14 (80.0 ¢ to 85.7 ¢)
Dark 13\14 to 14\15 (1114.3 ¢ to 1120.0 ¢)
TAMNAMS information
Related to 1L 9s (antisinatonic)
With tunings 5:1 to 6:1
Related MOS scales
Parent 1L 13s
Sister 1L 14s
Daughters 15L 14s, 14L 15s
Neutralized 13L 2s
2-Flought 29L 1s, 14L 16s
Equal tunings
Equalized (L:s = 1:1) 1\15 (80.0 ¢)
Supersoft (L:s = 4:3) 4\59 (81.4 ¢)
Soft (L:s = 3:2) 3\44 (81.8 ¢)
Semisoft (L:s = 5:3) 5\73 (82.2 ¢)
Basic (L:s = 2:1) 2\29 (82.8 ¢)
Semihard (L:s = 5:2) 5\72 (83.3 ¢)
Hard (L:s = 3:1) 3\43 (83.7 ¢)
Superhard (L:s = 4:1) 4\57 (84.2 ¢)
Collapsed (L:s = 1:0) 1\14 (85.7 ¢)
ViewTalkEdit

The 14L 1s MOS scale is notable for corresponding to 15-note scales of temperaments like nautilus and sextilififths.

6 steps of the scale cover a diatonic fourth, and they also go from the lower bound to upper bound of diatonic fourths (3\7 to 2\5) over the course of the entire step ratio spectrum, corresponding to going from 14edo perfect fourth to 15edo pefect fourth.

The proposed name for the mos is sextiliquartal, as it covers the entire spectrum of diatonic fourths which are divided into 6.

Scale tree

generator L s L/s gen (cents) comment
1\14 1 0 85.714
8\113 8 1 8.000 84.956
7\99 7 1 7.000 84.848
6\85 6 1 6.000 84.706
5\71 5 1 5.000 84.507
4\57 4 1 4.000 84.211
3\43 3 1 3.000 83.721
5\72 5 2 2.500 83.333
2\29 2 1 2.000 82.759
5\73 5 3 1.667 82.192
3\44 3 2 1.500 81.818 Nautilus is around here
4\59 4 3 1.333 81.356
5\74 5 4 1.250 81.081
6\89 6 5 1.200 80.899
7\104 7 6 1.167 80.769
8\119 8 7 1.143 80.672
1\15 1 1 1.000 80.000