Re : [tuning] Making cents of JI, meantone, Werckmeister

Johnny Reinhard:

> If you take A=440 as a constant, Werckmeister's chromatic temperament comes
> out as follows:
>
> +12 +2 +4 +6 +2 +10 0 +8 +4 0 +8 +4
> C C# D D# E F F# G G# A Bb
> B Db Eb Gb Ab A#
>
>
> Since there was no absolute measurement for pitch frequency in the Baroque,
> the relationships between notes as expressed above could begin on most any
> pitch frequency. Please note that all notes are sharp to conventional tuning
> (except for A and F#).

Johnny, what about this? (I hope it's straight!):

C . D . E F . G . A . B
+12 +2 +4 +6 +2 +10 0 +8 +4 0 +8 +4

A = 0 is a good reference, especially when you use an electronic tuner on
which the A can be chosen from 385 up to 470 Hz. Werckmeister's tuning is
normally explained starting from C. If you choose C = 0, all other values
will be flat:

C . D . E F . G . A . B
0 -10 -8 -6 -10 -2 -12 -4 -8 -12 -4 -8

--Wim Hoogewerf