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”
That sounds right to me. Equal temperament sLsLsLsLs.
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
Those numbers don’t map to the “traditional” diatonic BP scale, which may be why we’re hearing beats on some of the harmonies. See http://bp.b0b.com/2012/10/7-limit-harmonies/
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
BTW, thank you very much for running this experiment! Could you add the scale documentation to this post, please?
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?