Unequal Temperaments (DeMorgan)

A440A@AOL.COM A440A@AOL.COM
Sun, 11 Jun 2000 13:06:16 EDT


Ric asks:
<< What is a DeMorgan?

   This is a temperament by August DeMorgan, in the 1840's.  Jorgensen 
documents it in "Tuning".  The major difference between it and all the well 
temperaments is that the order of increasing dissonance in the tonic thirds 
is reversed.  Whereas virtually every temperament proposed between 
Werckmeister and Young had the ascension of dissonance beginning at C, (or in 
the case of Valotti, F)  and following the circle of fifths.  The DeMorgan 
tuning reverses that, so that the key  with more accidentals has a tonic 
third that is closer to Just than one with fewer.  Chopin's music, with so 
many sharps etc,  is strongly affected by this tuning.  It is listed as a 
quasi-equal temperament.   
   It is characterized by fifths ranging from 698.5 cents (F#-C#) to 700.5 
cents (C-G)   .  The thirds vary, in opposition to the fifths, from 396 cents 
to 404 cents.   

Regards, 
Ed 


This PTG archive page provided courtesy of Moy Piano Service, LLC