The Werckmeister III preset Vs The scala file “werck3.scl”

First I would like to thank DavidJones for this post of the thread Well vs. Equal Temperament.

Here is a question for _DJ_ and all others with a good knowledge of Historical Temperaments.

I have compared two CLEARLY different temperaments,

I have the 4.5.5 version of Pianoteq and I tried the werckmeister III that comes available as a tuning preset, and I also loaded the file “werck3.scl” and clearly shows a general shift in pitch when playing the piece: F.Couperin "Les baricades misterieuses" Midi file of the piece available here:

http://www.kunstderfuge.com/couperin.htm

http://www.kunstderfuge.com/-/midi.asp?...rchive.mid

couperin_6_5_les_baricades.

What is really strange is that I understand both to be the same Werckmeister III temperament with a=415.

On Pianoteq within Grimaldi A, I have selected the a=415 and compared it to a=440 to ensure that the a=415 is indeed selected and Pianoteq is playin in a=415, and then played the same piece with the scala file “werck3.scl” but they clearly produce obviously different results, with a clear general shift in pitch, not just slight modifications of some intervals. What is REALLY incredible is that these two Werckmeister III, (the built-in tuning preset) and the “werck3.scl scala file correspond, to my ears, very closely (although not exactly as I have explaned in more detail in this other thread: Tempest great tool for estimating the temperament from recording to these two temperaments available on youtube:

The the built-in tuning preset matches very closely the tuning on

Claudio di Veroli (Tuning: ordinaire (Rousseau) temperament)

Claudio di Veroli (Tuning: ordinaire (Rousseau) temperament)

and the scala file “werck3.scl” copied below:

! werck3.scl
!
Andreas Werckmeister's temperament III (the most famous one, 1681)
 12
!
 256/243
 192.18000
 32/27
 390.22500
 4/3
 1024/729
 696.09000
 128/81
 888.26999
 16/9
 1092.18000
 2/1

which can be downloaded here

http://www.huygens-fokker.org/docs/scales.zip

werck3.scl “Andreas Werckmeister's temperament III (the most famous one, 1681)”

The latter one: werck3.scl file (copied above) matches very closely the temperament featured on this YouTube video. As you will notice when compared with the original Claudio di Veroli (Tuning: ordinaire (Rousseau) temperament) (see youtube link above) the pitches are higher:

Elena Zhukova Video here:

Elena Zhukova