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

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Suggested for use as a "diatonic scale" when playing Bohlen-Pierce is the 9-note Lambda scale, which is the 4L5s MOS with [[equave]] 3/1. This can be thought of as an MOS generated by a 3.5.7 rank-2 temperament called BPS (Bohlen-Pierce-Stearns) that eliminates only the comma 245/243, so that 9/7 * 9/7 = 5/3.

Suggested for use as a "diatonic scale" when playing [[Bohlen-Pierce]] is the 9-note [[Lambda]] scale, which is the 4L5s MOS with [[equave]] 3/1. This can be thought of as an MOS generated by a 3.5.7 rank-2 temperament called BPS (Bohlen-Pierce-Stearns) that eliminates only the comma [[245/243]], so that 9/7 * 9/7 = 5/3.

This is a very good temperament on the 3.5.7 subgroup, and additionally is supported by many EDT's (and even EDOs!) besides 13-EDT.

This is a very good temperament on the 3.5.7 [[subgroup]], and additionally is supported by many EDT's (and even EDOs!) besides 13-EDT.

Some low-numbered EDOs that support BPS are 19, 22, 27, 41, and 46, and some low-numbered EDTs that support it are 9, 13, 17, and 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 9edt, also the 13-note "Lambda chromatic" MOS scale, or Lambda[13], which can be thought of as a "detempered" version of the 13-EDT Bohlen Pierce scale. This scale may be a suitable melodic substitute for the BP chromatic scale, and is basically the same as how 19-EDO and 31-EDO do not contain 12-EDO as a subset, but they do contain the meantone[12] chromatic scale.

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 {{MOS intro}}
-Suggested for use as a "diatonic scale" when playing Bohlen-Pierce is the 9-note Lambda scale, which is the 4L5s MOS with [[equave]] 3/1. This can be thought of as an MOS generated by a 3.5.7 rank-2 temperament called BPS (Bohlen-Pierce-Stearns) that eliminates only the comma 245/243, so that 9/7 * 9/7 = 5/3.
+Suggested for use as a "diatonic scale" when playing [[Bohlen-Pierce]] is the 9-note [[Lambda]] scale, which is the 4L5s MOS with [[equave]] 3/1. This can be thought of as an MOS generated by a 3.5.7 rank-2 temperament called BPS (Bohlen-Pierce-Stearns) that eliminates only the comma [[245/243]], so that 9/7 * 9/7 = 5/3.
-This is a very good temperament on the 3.5.7 subgroup, and additionally is supported by many EDT's (and even EDOs!) besides 13-EDT.
+This is a very good temperament on the 3.5.7 [[subgroup]], and additionally is supported by many EDT's (and even EDOs!) besides 13-EDT.
 Some low-numbered EDOs that support BPS are 19, 22, 27, 41, and 46, and some low-numbered EDTs that support it are 9, 13, 17, and 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 9edt, also the 13-note "Lambda chromatic" MOS scale, or Lambda[13], which can be thought of as a "detempered" version of the 13-EDT Bohlen Pierce scale. This scale may be a suitable melodic substitute for the BP chromatic scale, and is basically the same as how 19-EDO and 31-EDO do not contain 12-EDO as a subset, but they do contain the meantone[12] chromatic scale.