14L 1s: Difference between revisions
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m Copying from Category:Abstract MOS patterns to Category:15-tone scales using Cat-a-lot |
it's safe to call it sextiliquartal because it covers the entire range |
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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. | 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 == | == Scale tree == | ||
Revision as of 13:27, 16 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.
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 | ||||||||