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4L 5s (3/1-equivalent): Difference between revisions

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[[User:Lériendil|Lériendil]] proposes mode names derived from the constellations of the northern sky.
[[User:Lériendil|Lériendil]] proposes mode names derived from the constellations of the northern sky.
{{MOS modes|Scale Signature=4L 5s|Mode Names=Lyncian; Aurigan; Persean; Andromedan; Cassiopeian; Lacertian; Cygnian; Draconian; Herculean}}
{{MOS modes|Scale Signature=4L 5s|Mode Names=Lyncian; Aurigan; Persean; Andromedan; Cassiopeian; Lacertian; Cygnian; Draconian; Herculean}}
== Notation ==
Bohlen-Pierce theory possesses a well-established<ref>[https://en.wikipedia.org/wiki/Bohlen%E2%80%93Pierce_scale#Intervals_and_scale_diagrams]</ref> [[nonoctave]] notation system for [[EDT]]s and no-twos music, which is based on this MOS scale as generated by approximately [[7/3]], relating it to [[Bohlen-Pierce-Stearns|BPS]] temperament, where two 7/3 generators are equated to 27/5. The preferred generator for any edt is its patent val approximation of 7/3.
This notation uses 9 nominals: E F G H J A B C D E as presented in the E Cassiopeian (sLsLsLsLs) mode, and represented by a circle of generators going as follows: ...C# - A# - H# - F# - D - B - J - G - E - C - A - H - F - Db - Bb - Jb - Gb...
=== Examples ===
[[9edt]] (equalized):
{|class="wikitable article-table"
|-
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
|-
|E
|F
|G
|H
|J
|A
|B
|C
|D
|E
|-
|P0
|P1
|P2
|P3
|P4
|P5
|P6
|P7
|P8
|P9
|}
[[13edt]] (Bohlen-Pierce):
{|class="wikitable article-table"
|-
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
|-
|E
|F
|F#, Gb
|G
|H
|H#, Jb
|J
|A
|A#, Bb
|B
|C
|Db, C#
|D
|E
|-
|P0
|m1
|M1, d2
|P2
|m3
|M3, m4
|M4
|m5
|M5, m6
|M6
|P7
|m8, A7
|M8
|P9
|}
[[30edt]]:
{|class="wikitable article-table"
|-
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
!21
!22
!23
!24
!25
!26
!27
!28
!29
!30
|-
|E
|D#, Gbb
|F
|E#
|Gb
|F#
|Hb
|G
|Fx, Jbb
|H
|G#
|Jb
|H#
|Ab
|J
|Hx, Bbb
|A
|J#
|Bb
|A#
|Cb
|B
|Ax, Dbb
|C
|B#
|Db
|C#
|Eb
|D
|Fb, Cx
|E
|-
|P0
|MM8, dd2
|m1
|A0
|d2
|M1
|mm3
|P2
|MM1, mm4
|m3
|A2
|m4
|M3
|mm5
|M4
|MM3, mm6
|m5
|MM4
|m6
|M5
|d7
|M6
|MM5, mm8
|P7
|MM6
|m8
|A7
|d9
|M8
|mm1, AA7
|P9
|}


== List of edts supporting the Lambda scale ==
== List of edts supporting the Lambda scale ==
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