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~Creative Commons BY-NC-ND license. Bohlen-Pierce chamber ensemble woodwind

Bohlen-Pierce Diatonic with Clarinet Ensemble

Bohlen-Pierce Diatonic with Clarinet Ensemble

The tuning used to retune Dimension Pro

! D:\cakewalk\scales\BP_diatonic.scl
!
BP Diatonic
9
!
146.30423
438.91269
585.21692
877.82539
1024.12962
1316.73808
1463.04231
1755.65077
1901.95500

8 replies on “Bohlen-Pierce Diatonic with Clarinet Ensemble”

I see. I had to look up MOS – “moment of symmetry”. I wasn’t familiar with the concept. Checking with a pocket calculator, I see that this uses a large step of 288.235 cents, a small step of 149.803 cents, and the scale pattern is LsLsLsLss.

Hi b0b – there was an issue with Dimension Pro using the scala file as posted to tuning math. The first improvisation is lost to the ether… But the second improvisation I was able to salvage and it used this tuning.

! D:\cakewalk\scales\BP_diatonic.scl
!
BP Diatonic
9
!
146.30423
438.91269
585.21692
877.82539
1024.12962
1316.73808
1463.04231
1755.65077
1901.95500

No they don’t map the same. The tuning by Scott Thompson is a 9-note MOS of BP diatonic with linear/isoharmonic 5:7:9

Hi b0b,

It is supposed to the the tritave since it is following this tuning

! BP-iso579-MOS9.scl
!
9-note MOS of BP diatonic with linear/isoharmonic 5:7:9, per Steve Martin | p = 3/1 (1901.955 c) | g = 438.038 c
!
9
!
288.235
438.038
726.273
876.076
1164.311
1314.114
1602.349
1752.152
1901.955

To me, that “clarinet” sounds much better because it doesn’t have the even-numbered harmonics of “strings”. I don’t understand what I’m seeing, though. What is the interval between the notes in the columns? Is it a tritave (3/1) or something less?

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