User:Lériendil/Sandbox: Difference between revisions

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== Notation ==
Bohlen-Pierce theory possesses a [[nonoctave]] notation system for [[EDT]]s and no-twos music, which is well-established<ref>[https://en.wikipedia.org/wiki/Bohlen%E2%80%93Pierce_scale#Intervals_and_scale_diagrams]</ref>. It is based on the [[2L 9s (3/1-equivalent)|2L 9s⟨3/1⟩]] MOS scale generated by approximately [[5/3]], relating it to [[Arcturus]] temperament. The preferred generator for a given EDT is the patent val 5/3.


The 9|1 mode of 2L 9s⟨3/1⟩ is represented by 11 naturals CDEFGHJKLAB, and #/b accidentals are used to raise and lower by a chroma (L - s). For relative notation, the [[TAMNAMS]] convention of zero-based indices is used.  Assuming Arcturus temperament where [[7/3]] is mapped to the major 8-step, the chord 3:5:7 is notated as C - H - L (P0 - P5 - M8). To notate larger EDTs, Arcturus hendecatonic notation can be combined with [[ups and downs notation]], with ^/v accidentals raising and lowering by 1 EDTstep.
=== Examples ===
[[11edt]] (equalized):
{|class="wikitable article-table"
|-
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
|-
|C
|D
|E
|F
|G
|H
|J
|K
|L
|A
|B
|C
|-
|P0
|P1
|P2
|P3
|P4
|P5
|P6
|P7
|P8
|P9
|P10
|P11
|}
[[13edt]] (Bohlen-Pierce):
{|class="wikitable article-table"
|-
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
|-
|C
|Db
|D, Eb
|E, Fb
|F, Gb
|G, Hb
|H
|J
|J#, Kb
|K
|L, Ab
|A, Bb
|B
|C
|-
|P0
|m1
|M1, m2
|M2, m3
|M3, m4
|M4, d5
|P5
|P6
|A6, m7
|M7
|M8, m9
|M9, m10
|M10
|P11
|}
[[24edt]]:
{|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
|-
|C
|C#, Dbb
|Db
|D
|Eb
|E
|Fb
|F
|Gb
|G
|G#, Hb
|H
|H#, Jb
|J
|J#, Kbb
|Kb
|K
|Lb
|L
|Ab
|A
|Bb
|B
|B#, Cb
|C
|-
|P0
|A0, d1
|m1
|M1
|m2
|M2
|m3
|M3
|m4
|M4
|A4, d5
|P5
|A5, d6
|P6
|A6, d7
|m7
|M7
|m8
|M8
|m9
|M9
|m10
|M10
|A10, d11
|P11
|}

Latest revision as of 18:39, 22 June 2025

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