88
Viscount
Physis Organs
Reference Manual
For example, the Kirnberger II temperament is based on the syntonic comma. It spreads the comma equally
between D-A and A-E and the skisma between F# and C#.
A series of three natural major thirds makes a frequency of 5/4^3. The difference between that and the
octave is called
enharmonic comma
.
When a temperament makes up for more than the Pythagorean comma, usually one fifth is much wider than
the rest and becomes unusable. It is called the
wolf fifth
.
The circle of fifths of each temperament can start from any key editing the parameter called Base Key.
Follows an explicating graph: in the first half is rapresented Meantone temperament with Base Key set on C,
after on G and finally on B. The second half shows Werkmeister temperament with the same three values of
the Meantone. With the parameter Base Key set to C each temperament is built exactly as shown in the
following circular graphs.
-1/4 sc: a pure fifth narrowed by 1/4 of syntonic comma
-1/4 pc: a pure fifth narrowed by 1/4 of pythagorean comma
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