Was OnlyPure not (flame time?)

[William Ballard]

At 12:22 PM -0400 4/15/05, A440A@aol.com wrote:
>Also,  I really object to using 'Pure' to describe
>tempered intervals.  Minimum beating is "purer" but NOT  "Pure".  Something is
>either contaminated or it is not.

I believe Bernard defined it as the width yielding the smallest sum 
of beat rates of the relationships therein. For instance, in a 5th, 
that adjustment of the fundamentals for which the sum of the 3:2 beat 
rate + the 6:4 br (oh, alright...include the 9:3 on through the 
n:2n/3) is the smallest. Same for the octave. Mathematically this is 
the best concensus among all the coincidental partials beating in 
that interval. And I'm sure he is factoring in inharmonicity for each 
note as well.

I'd bet that in the long history of piano tuners describing 
intervals, such a use of the word "pure" is unique.

At 5:45 PM +0100 4/15/05, Bernhard Stopper wrote:
>(he must work with the sostenuto pedal to handle his approach)

or pitch-shimming.

Bill Ballard RPT
NH Chapter, P.T.G.

"All God's Children got Rhythm"
     ...........Ivy Anderson in "A Day at the Races"
+++++++++++++++++++++