Fw: Eivind Groven's 36-tone Just Organ

-----Original Message-----
From: �yonn Groven Myhren <o.g.myhren@hfstud.uio.no>
To: dante@pop.interport.net <dante@pop.interport.net>
Date: Wednesday, September 08, 1999 5:21 PM
Subject: Eivind Groven's 36-tone Just Organ

>Do you know about Eivind Groven's 36-tone Just Organ.
>Here is an URL that might be of interest:
>http://TIGGER.CC.WMICH.EDU/~code/groven
>
>
>�yonn G. Myhren
>

>Do you know about Eivind Groven's 36-tone Just Organ.
>Here is an URL that might be of interest:
>http://TIGGER.CC.WMICH.EDU/~code/groven
>
>
>�yonn G. Myhren

I ckecked out this website and Aha! Groven actually used 1/8-schisma
temperament, extended to 36 notes! Funny how the threads in this list tend
to cross! The 36 notes were used for an automatic dynamic tuning mechanism:

"Within an unlimited pitch universe, this type of procedure would, of
course, lead to a continuous drifting of pitch. To ensure that a modulating
piece of music can return to the exact same starting tonic, the performer
selects ahead of time one of fourteen pitch-fields, each containing only 22
of the 36 pitches."

22 consecutive pitches in 1/8-schisma temperament has a fascinating
connection with the famous 5-limit 22-tone Indian system, in that the two
differ only in subschismatic (<2 cent) details.

More:

The seljefl�yte is an indigenous folk instrument made from the branch of a
willow. As there are no finger-holes, pitches are produced by over-blowing
and stopping the end opening with your finger. The resulting scale, follows
the intervals of the harmonic series and can be closely approximated on
Groven's organ . . .
In this realization, the 11th, 13th, and 7th partials deviate by a few cents
up or down, while the other intervals are all within a half-cent from the
indicated pure ratio. This is but one example of the numerous fixed-scales
which Groven employed in his arrangements of Norwegian folk music.