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== Notation ==
== 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.
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.


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.
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 ===
=== Examples ===
[[11edt]] (equalized):
[[9edt]] (equalized):
{|class="wikitable article-table"
{|class="wikitable article-table"
|-
|-
Line 18: Line 18:
!8
!8
!9
!9
!10
!11
|-
|-
|C
|D
|E
|E
|F
|F
Line 28: Line 24:
|H
|H
|J
|J
|K
|L
|A
|A
|B
|B
|C
|C
|D
|E
|-
|-
|P0
|P0
Line 44: Line 40:
|P8
|P8
|P9
|P9
|P10
|P11
|}
|}


Line 67: Line 61:
!13
!13
|-
|-
|C
|E
|Db
|F
|D, Eb
|F#, Gb
|E, Fb
|G
|F, Gb
|G, Hb
|H
|H
|H#, Jb
|J
|J
|J#, Kb
|A
|K
|A#, Bb
|L, Ab
|A, Bb
|B
|B
|C
|C
|Db, C#
|D
|E
|-
|-
|P0
|P0
|m1
|m1
|M1, m2
|M1
|M2, m3
|P2
|m3
|M3, m4
|M3, m4
|M4, d5
|M4
|P5
|m5
|P6
|M5, m6
|A6, m7
|M6
|M7
|P7
|M8, m9
|m8
|M9, m10
|M8
|M10
|P9
|P11
|}
|}


[[24edt]]:
[[30edt]]:


{|class="wikitable article-table"
{|class="wikitable article-table"
Line 127: Line 121:
!23
!23
!24
!24
!25
!26
!27
!28
!29
!30
|-
|-
|C
|C#, Dbb
|Db
|D
|Eb
|E
|E
|Fb
|D#, Gbb
|F
|F
|E#
|Gb
|Gb
|F#
|Hb
|G
|G
|G#, Hb
|Fx, Jbb
|H
|H
|H#, Jb
|G#
|Jb
|H#
|Ab
|J
|J
|J#, Kbb
|Hx, Bbb
|Kb
|K
|Lb
|L
|Ab
|A
|A
|J#
|Bb
|Bb
|A#
|Cb
|B
|B
|B#, Cb
|Ax, Dbb
|C
|C
|B#
|Db
|C#
|Eb
|D
|Fb, Cx
|E
|-
|-
|P0
|P0
|A0, d1
|MM8, dd2
|m1
|m1
|A0
|d2
|M1
|M1
|m2
|mm3
|M2
|P2
|MM1, mm4
|m3
|m3
|A2
|m4
|M3
|M3
|m4
|mm5
|M4
|M4
|A4, d5
|MM3, mm6
|P5
|m5
|A5, d6
|MM4
|P6
|m6
|A6, d7
|M5
|m7
|d7
|M7
|M6
|MM5, mm8
|P7
|MM6
|m8
|m8
|A7
|d9
|M8
|M8
|m9
|mm1, AA7
|M9
|P9
|m10
|M10
|A10, d11
|P11
|}
|}
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