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

| Other Names = Lambda

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Some low-numbered edos that support BPS are {{EDOs| 19, 22, 27, 41, and 46 }}, and some low-numbered edts that support it are [[9edt|9]], [[13edt|13]], [[17edt|17]], and [[30edt|30]], all of which make it possible to play BP music to some reasonable extent. These equal temperaments contain not only the Lambda "BP diatonic" scale, but, with the exception of 9edt, also the 13-note "BP chromatic" mos scale, or BPS[13], which can be thought of as a "detempered" version of the 13edt Bohlen-Pierce scale. This scale may be a suitable melodic substitute for the "BP chromatic" scale, and is basically the same as how 19edo and 31edo do not contain 12edo as a subset, but they do contain the meantone[12] chromatic scale.

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.

An extension of [[ups and downs notation]], in the obvious way, can be found at [[Lambda ups and downs notation]].

=== Examples ===

[[9edt]] (equalized):

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[[13edt]] (Bohlen-Pierce):

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[[30edt]]:

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