Werckmeister in his own words, translated

Number IV is a temperament which is also contained in the Orgel-Probe and is
subdivided through 1/3 comma. Number V still is an additional temperament,
subdivided by ¼ comma. After this, Number VI is a temperament which has
nothing to do with the same subdivision of the comma. However, in practice, it is
so correct that one can be satisfied with that (about which there shall be
special comments later). Now we want to consider this temperament Number III
which is led though the fourths or quarter comma, and describe a little how
it is recognized and placed on the monochord, whereby it should be mentioned
that all the time the tempered pitches fall into place, where the little
slash is since the degrees have been divided, crossing though the line; and this
must be considered in all cases.
Andreas Werckmeister Musical Temperament (1691)
This is the only representation of Werckmeister V tuning in the entire
treatise, besides the actual copperplate monochord drawings.
Johnny

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--- In tuning@yahoogroups.com, Afmmjr@... wrote:
>
>
> Number IV is a temperament which is also contained in the
Orgel-Probe and is
> subdivided through 1/3 comma.

The Orgel-Probe table with the up-down V indications is my source for
WIII and IV (1691 numbering).

> [Werckmeister] Number V still is an additional temperament,
> subdivided by ¼ comma.

> This is the only representation of Werckmeister V tuning in the entire
> treatise, besides the actual copperplate monochord drawings.

Right. I admit I haven't bothered to work out the copperplate
proportions to see which fifths are tempered by 1/4 comma up or down.
In this respect, I simply trusted Lindley's beehive diagram in
Stimmung und Temperatur. I know that this tome is not without it's
typographical/calculation errors, so if anyone HAS checked the
copperplate and has found that the fifths are in different places, I
would be very happy to know.

After years of drawing wrong conclusions from using mistaken second
hand sources and relying on other people's interpretations, I try as
much as possible to work from original sources, and do my own maths
based on whatever method of representation was originally used. But
life is short, and as Kirnberger so aptly put it, this sort of work is
best suited for a house-bound Fach Idiot.

;-)

Caio,

P