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 Responses to “Bohlen-Pierce Diatonic with Clarinet Ensemble”

  1. b0b says:

    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?

  2. b0b says:

    BTW, thank you very much for running this experiment! Could you add the scale documentation to this post, please?

  3. admin says:

    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

  4. b0b says:

    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/

  5. admin says:

    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

  6. admin says:

    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

  7. b0b says:

    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.

  8. b0b says:

    That sounds right to me. Equal temperament sLsLsLsLs.

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