Werkemeister III

[Billbrpt@AOL.COM]

In a message dated 9/5/99 5:15:47 PM Pacific Daylight Time, you write:

<< These are from the SAT manuel numbers that were posted. Where the C--G is 
beating
 2.67, 
 that is contracted by four cents, or the 696 fifth which is 6 cents tempered 
from a
 pure fifth (702) which is more than 1/4 comma but less than 1/3 comma, 
---ric 
  >>

This is not meant to be inflammatory, merely factual.  The above description 
for the Werkmeister III is not correct, it is off by quite a bit.  A 1/4 
Syntonic Comma 5th should be measurable in a piano from 5.0 to 5.2 cents 
narrow of Just Intonation.  In a Meantone temperament or Well-Tempered Tuning 
like this Werkmeister, they should all be able to be measured and all should 
be exactly the same.  The theoretically pure 3rds that are the result of the 
1/4 Comma tempering should have a scant width of 0.7 to 0.9 cents.

If the FAC program Correction Figures do not produce this result at least 
reasonably well, then either the figures and/or the program are not valid.  
If you use a Direct Interval Programming approach to HT tuning, you can be 
absolutely sure that your program is correct.  You have the added benefit of 
a complete understanding of the temperament because you constructed it piece 
by piece.

Bill Bremmer RPT
Madison, Wisconsin