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| {{Infobox MOS | | {{Infobox MOS}} |
| | Name =
| | {{MOS intro}} |
| | Periods = 1
| | |
| | nLargeSteps = 14
| | This scale is notable for corresponding to 15-note scales of temperaments like [[nautilus]] and [[sextilifourths]]. 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. |
| | nSmallSteps = 1
| | |
| | Equalized = 1
| | == Scale properties == |
| | Collapsed = 1
| | {{TAMNAMS use}} |
| | Pattern = LLLLLLLLLLLLLLs
| | |
| }} | | === Intervals === |
| The '''14L 1s''' [[MOS scale]] is notable for corresponding to 15-note scales of temperaments like [[nautilus]] and [[sextilififths]].
| | {{MOS intervals}} |
|
| |
|
| 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.
| | === Generator chain === |
| | {{MOS genchain}} |
|
| |
|
| The proposed name for the mos is '''sextiliquartal''', as it covers the entire spectrum of diatonic fourths which are divided into 6.
| | === Modes === |
| | {{MOS mode degrees}} |
|
| |
|
| == Scale tree == | | == Scale tree == |
| {| class="wikitable" | | {{MOS tuning spectrum |
| ! colspan="8" | generator
| | | 3/2 = [[Nautilus]] |
| ! L
| | | 9/4 = ↕ [[Sextilifourths]] |
| ! s
| | }} |
| ! L/s
| | |
| ! gen (cents)
| | {{todo|expand}} |
| ! 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
| |
| |
| |
| |
| |
| |
| |
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| |
| | 5
| |
| | 2
| |
| | 2.500
| |
| | 83.333
| |
| |
| |
| |-
| |
| |
| |
| | 2\29
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| | 2
| |
| | 1
| |
| | 2.000
| |
| | 82.759
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| | 5\73
| |
| |
| |
| |
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| |
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| |
| | 5
| |
| | 3
| |
| | 1.667
| |
| | 82.192
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| | 3\44
| |
| |
| |
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| |
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| |
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| |
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| | 3
| |
| | 2
| |
| | 1.500
| |
| | 81.818
| |
| | Nautilus is around here
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| | 4\59 | |
| |
| |
| |
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| | 4
| |
| | 3
| |
| | 1.333
| |
| | 81.356
| |
| |
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| |-
| |
| |
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| | 5\74
| |
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| | 5
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| | 4
| |
| | 1.250
| |
| | 81.081
| |
| |
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| |-
| |
| |
| |
| |
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| |
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| | 6\89
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| | 6
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| | 5
| |
| | 1.200
| |
| | 80.899
| |
| |
| |
| |-
| |
| |
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| | 7\104
| |
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| | 7
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| | 6
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| | 1.167
| |
| | 80.769
| |
| |
| |
| |-
| |
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| |
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| | 8\119
| |
| | 8
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| | 7
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| | 1.143
| |
| | 80.672
| |
| |
| |
| |-
| |
| | 1\15
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| |
| |
| |
| | 1
| |
| | 1
| |
| | 1.000
| |
| | 80.000
| |
| |
| |
| |} | |
|
| |
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| [[Category:15-tone scales]] | | [[Category:15-tone scales]] |