|
|
| Line 1: |
Line 1: |
| == 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
| |
| |}
| |