3L 8s: Difference between revisions

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{{MOS intro}}


This scale, with a generator between 1\3 octave (400 cents) and 4\11 octave (436 4/11), has versions relating to ditonic/coditone, roman, bossier, sqrtphi and squares.
This scale has versions relating to [[ditonic]]/[[coditone]], [[roman]], [[bossier]], [[sqrtphi]], and [[squares]]. The unique generator ''g'' for which the suspended chord (that is, 1/1 - 2/''g'' - ''g'') is [[isodifferential]] generates this MOS (it is (sqrt(17) + 1)/4 = 428.422{{c}}, only 0.15{{c}} away from [[14edo|5\14]]), and as a result, [[User:Lériendil|Lériendil]] has proposed the name '''isodiaphoric''' for this scale.


{| class="wikitable"
== Scale properties ==
! colspan="2" |Gen
{{TAMNAMS use}}
!Cents
 
!L:s
=== Intervals ===
!Comments
{{MOS intervals}}
|-
 
| | 1\3
=== Generator chain ===
| |
{{MOS genchain}}
| | 400
 
|∞
=== Modes ===
| | Paucitonic, 3edo
{{MOS mode degrees}}
|-
 
| | 18\53
== Scale tree ==
| |
{{MOS tuning spectrum
| | 407.547
| 6/1 = [[Ditonic]] ↓, [[Roman]]
|
| 5/2 = [[Squares]]
| | Ditonic
| 7/2 = [[Bossier]]
|-
| 11/2 = [[Sqrtphi]] (416.667{{c}})
| | 17\50
}}
| |
 
| | 408.000
{{todo|expand}}
|
 
| |
[[Category:11-tone scales]]
|-
| | 16\47
| |
| | 408.511
|
| |
|-
| | 15\44
| |
| | 409.091
|
| |
|-
| | 14\41
| |
| | 409.756
|
| |
|-
| | 13\38
| |
| | 410.526
|
| |
|-
| | 12\35
| |
| | 411.429
|
| |
|-
| | 11\32
| |
| | 412.500
|
| |
|-
| | 10\29
| |
| | 413.793
|
| | Roman
|-
| | 9\26
| |
| | 415.385
|
| |
|-
| |
| | 17\49
| | 416.3265
|
| |
|-
| |
| | 25\72
| | 416.667
|
| | Sqrtphi
|-
| | 8\23
| |
| | 417.391
|
| |
|-
| | 7\20
| |
| | 420
|4:1
| |
|-
| |
| | 13\37
| | 421.621
|
| | Bossier
|-
| |
| |
| | 422.956
|
| |
|-
| | 6\17
| |
| | 423.529
|3:1
| |
|-
| |
| |
| | 424.76
|
| |
|-
| |
| | 17\48
| | 425
|
| |
|-
| |
| |
| | 425.23
|
| |
|-
| |
| | 11\31
| | 425.806
|5:2
| | Squares
|-
| |
| | 16\45
| | 426.667
|
| |
|-
| | 5\14
| |
| | 428.521
|2:1
| |
|-
| |
| | 19\53
| | 430.187
|
| |
|-
| |
| |
| | 430.312
|
| |
|-
| |
| | 14\39
| | 430.769
|
| |
|-
| |
| |
| | 431.1185
|
| |
|-
| |
| | 23\64
| | 431.25
|
| |
|-
| |
| |
| | 431.465
|
| |
|-
| | 9\25
| |
| | 432
|3:2
| |
|-
| |
| | 22\61
| | 432.787
|
| |
|-
| | 13\36
| |
| | 433.333
|
| |
|-
| | 17\47
| |
| | 434.043
|
| |
|-
| | 21\58
| |
| | 434.483
|
| |
|-
| | 25\69
| |
| | 434.783
|7:6
| |
|-
|29\80
|
|435
|8:7
|
|-
|33\91
|
|435.164
|9:8
|
|-
| | 4\11
| |
| | 436.364
|1:1
| | Equalized, 11edo
|}