Tempered Fifths

Re Manuel's post on beat rates: Needless to say, I was somewhat
surprised by Manuel's recent post. However, I have been unable
to find any errors in my values for tempered fifths. I have taken
each of my fifths and computed the beat rates for the P5,P4, TM,
Tm, SxM and Sxm and my values are equal when they should be and
Manuel's are not for the cases I've had time to examine.

I presume the problem lies in our algorithms as the errors are for the
most part in the 4th and higher significant figures. I used a commercial
Math package (circa 1987) and the Newton-Raphson method to solve the
4th and higher order polynomial equations for the values of the
temperers. These equations were based on Rasch's formulae, but I checked
the beat
rates with my own formulae based on the lowest common partials. So,
I'm puzzled.


--John


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I just received a brochure and program from Sonja A. Wayne,
the organizer of "Dr Mommy's Microtonal MusicFest," to be held
on Friday and Saturday November 8 and 9th at 7:00 PM with a
hands-on workshop Saturday from 1 to 3 PM by Erv Wilson.

The location is "The Bridge Center for Contemporary Art, 1112 East
Yandell, El Paso, TX. The cost for all 3 events (Friday and Saturday
performance plus the workshop) is only $12.00, each performance is
$7.50, and the Workshop alone is $5.00. For more info call The Bridge
Center at (915) 532-6746 or Sonja at 591-3105.


The Schedule of Events

Friday, November 8, 1966
_________________________
7.00 evening performance

Neil Haverstick, featured performer, following which Jonathan Glasier,
Rod Poole and Erv Wilson will lead an open forum and give a
presentation of new instruments in prelude to Saturday's hands-on
workshop.

Saturday, November 9, 1996
_________________________
1:00 hands-on workshop

Warren Burt - A presentation of this Australian
microtonal composer's work

Jonathan Glasier - Vocal Harmonics

Neil Haverstick- 19, 31, and 34 tone guitars

Rod Poole 17 tone microtonal guitar

Erv Wilson 22 tone metalophone presentation, discussion
on 13th century Persian lute scale and Indian
ragas


Saturday, November 9, 1996
___________________________
7:00 evening performance
Rod Poole Featured performer

9:00 Jonathan Glasier

Following the performance Jonathan Glasier, Neil Haverstick, Rod Poole,
and Erv Wilson will lead an open forum to conclude Dr. Mommy's
Microtonal MusicFest.

* * *

Sonja says in the information packet to "bring the kids along, too and
perhaps you'll inspire a future musician or mathematician."

Glasier will also demonstrate Bill Wesley's ARRAY MBIRA, a large,
multi-octave plucked-tongue instrument inspired by the African
mbira or kalimba "thumb piano."


--John


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