Andreas Werckmeister Well-Temperament from The Equal Beating Temperaments by Owen Jorgensen "This is most often referred to as the "Correct Temperament No. 1." In some books it is named "Werkmeister III."" (In musical notation we are directed to tune middle C to a pitch standard,then half way 'round the circle of fifths in the direction of flats, by just fourths and fifths.) Tune D pure to Bb and then sharpen D until Bb - D beats exactly the same speed as D-F#. Tune G3 pure to D4 and then sharpen G3 until G3-D4 beats at exactly the same speed as G3-C4. Tune A3 pure to F3 and then sharpen A3 until F3-A3 beats at exactly the same speed as A3-D4. (the above footnoted: Andreas Werckmeister. Musicalische Temperatur. Frankfurt: In Verlegung T.P. Calvissii, 1691) +++++++================+++++++++++++++++===================+++++++++++++ I think this is an excellent and accurate interpretation because it's simple, the tempering is done by equal beating methods, and the result contains many proportional beating triads. ++++++++++++===================++++++++++++++++++++++++=================== Cents deviation from Equal Temperament, as calculated by Fred Tremper c= 0.0 b= -6.3 a#= -3.9 a= -10.2 g#= -7.8 g= -2.6 f#= -11.7 f= -2.0 e= -8.2 d#= -5.9 d= -6.7 c#= -9.8 Column 1 is Fred's numbers plus 10.2 so that A4= 440 hz. Column 2 is column 1 added up and divided by 12, and that amount subtracted from each value so that the average pitch level will have the least variation from contemporary (A 440) pitch. (1) (2) c 10.2 6.26 b 3.9 -0.04 a# 6.3 2.36 a 0 -3.94 g# 2.4 -1.54 g 7.6 3.66 f# -1.5 -5.44 f 8.2 4.26 e 2 -1.94 d# 4.3 0.36 d 3.5 -0.44 c# 0.4 -3.54 Paul Bailey RPT
This PTG archive page provided courtesy of Moy Piano Service, LLC