14L 1s: Difference between revisions
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Undo revision 96036 by Eliora (talk) - and it is 4th not 5th that goes through the entire diatonic spectrum since on the other side steps are unequal Tag: Undo |
m Copying from Category:Abstract MOS patterns to Category:15-tone scales using Cat-a-lot |
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[[Category:15-tone scales]] | |||
Revision as of 16:16, 6 January 2023
| ← 13L 1s | 14L 1s | 15L 1s → |
| ↙ 13L 2s | ↓ 14L 2s | 15L 2s ↘ |
Scale structure
sLLLLLLLLLLLLLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
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.
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 | ||||||||