DeMorgan numbers & graph

Ron Koval drwoodwind@hotmail.com
Tue, 13 Jun 2000 09:09:24 PDT


Hi all

I went and looked up the numbers for Augustus DeMorgan (1843) temperament.
c-2.8
C#-2.8
D-.5
D#-4.4
E 0
F-3.8
F#-1.5
G-1.5
G#-3.8
A 0
A#-4.4
B-.5

graph the width of the thirds with the listed note being the bottom, each 
"." = 1/2 cent. (circle of fifths order)

  pure.......................ET.............21 cents wide

C :.................................*
G :.............................*
D :.........................*
A :......................*
E :....................*
B :....................*
F#:......................*
Db:.........................*
Ab:.............................*
Eb:.................................*
Bb:...................................*
F :...................................*
C :.................................*


For comparison, check out the Young temperament (45% strength)(well temp)

C :....................*
G :......................*
D :........................*
A :...........................*
E :...............................*
B :.................................*
F#:...................................*
Db:.................................*
Ab:...............................*
Eb:...........................*
Bb:........................*
F :......................*
C :....................*

c 2.7
c# 0
d .9
d# 1.8
e -.9
f 2.7
f# -.9
g 1.8
g# .9
a 0
a# 2.7
b  -.9

I chose the 45% strength for comparison because the range of the width of 
the thirds is about the same.  If you look at the graphs you can compare an 
example of a well temperament, and imagine where 'reverse
well' comes from.

Ron Koval

Chicagoland
________________________________________________________________________
Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com



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