14L 1s: Difference between revisions

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The '''14L 1s''' [[MOS scale]] is notable for corresponding to 15-note scales of temperaments like [[nautilus]] and [[sextilififths]].
The '''14L 1s''' [[MOS scale]] is notable for corresponding to 15-note scales of temperaments like [[nautilus]] and [[sextilififths]].
8 steps of the scale cover a diatonic fifth, and they also go from the lower bound to upper bound of diatonic fifths (4\7 to 3\5) over the course of the entire step ratio spectrum, corresponding to going from 14edo fifth to 15edo fifth.


== Scale tree ==
== Scale tree ==

Revision as of 16:00, 3 October 2022

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

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