4L 5s (3/1-equivalent): Difference between revisions
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== Notation == | == Notation == | ||
Bohlen-Pierce theory possesses a well-established | Bohlen-Pierce theory possesses a well-established [[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: | This notation uses 9 nominals: for compatibility with [[diamond-MOS notation]], the current recommendation is to use the notes J K L M N O P Q R J as presented in the J Cassiopeian (symmetric, sLsLsLsLs) mode, and represented by a circle of generators going as follows: ...Q# - O# - M# - K# - R - P - N - L - J - Q - O - M - K - Rb - Pb - Nb - Lb... However, an alternative convention (as used on Wikipedia <ref>[https://en.wikipedia.org/wiki/Bohlen%E2%80%93Pierce_scale#Intervals_and_scale_diagrams]</ref> and certain articles of this wiki) labels them C D E F G H J A B C in the C Andromedan (LssLsLsLs) mode, which rotates to the E Cassiopeian mode. | ||
An extension of [[ups and downs notation]], in the obvious way, can be found at [[Lambda ups and downs notation]]. | |||
=== Examples === | === Examples === | ||
[[9edt]] (equalized): | [[9edt]] (equalized): | ||
{| | {|Qlass="wikitable article-table" | ||
|- | |- | ||
!0 | !0 | ||
| Line 40: | Line 41: | ||
!9 | !9 | ||
|- | |- | ||
|J | |J | ||
| | |K | ||
| | |L | ||
| | |M | ||
| | |N | ||
| | |O | ||
|P | |||
|Q | |||
|R | |||
|J | |||
|- | |- | ||
|P0 | |P0 | ||
| Line 65: | Line 66: | ||
[[13edt]] (Bohlen-Pierce): | [[13edt]] (Bohlen-Pierce): | ||
{| | {|Qlass="wikitable article-table" | ||
|- | |- | ||
!0 | !0 | ||
| Line 82: | Line 83: | ||
!13 | !13 | ||
|- | |- | ||
|J | |J | ||
| | |K | ||
| | |K#, Gb | ||
| | |L | ||
| | |M | ||
| | |M#, Jb | ||
| | |N | ||
| | |O | ||
|O#, Bb | |||
|P | |||
|Q | |||
|Rb, C# | |||
|R | |||
|J | |||
|- | |- | ||
|P0 | |P0 | ||
| Line 115: | Line 116: | ||
[[30edt]]: | [[30edt]]: | ||
{| | {|Qlass="wikitable article-table" | ||
|- | |- | ||
!0 | !0 | ||
| Line 149: | Line 150: | ||
!30 | !30 | ||
|- | |- | ||
| | |J | ||
| | |R#, Gbb | ||
| | |K | ||
| | |J# | ||
| | |Lb | ||
| | |K# | ||
| | |Mb | ||
| | |L | ||
| | |Kx, Jbb | ||
| | |M | ||
| | |L# | ||
|Nb | |||
|M# | |||
|Ob | |||
|N | |||
|Mx, Bbb | |||
|O | |||
|N# | |||
|Pb | |||
|O# | |||
|Qb | |||
|P | |||
|Ox, Dbb | |||
|Q | |||
|P# | |||
|Rb | |||
|Q# | |||
|Jb | |Jb | ||
| | |R | ||
| | |Kb, Cx | ||
|J | |J | ||
|- | |- | ||
|P0 | |P0 | ||