Viscount Cantorum Dou User Manual page 97

User Manual
10.3 TEMPERAMENTS OF THE CANTORUM DUO
In addition to equal temperament, with the Cantorum
Duo you can play other temperaments described below.
KIRNBERGER II (KIRNBERGER2 on display)
Based on two fifths, reduced by half syntonic comma,
and one fifth reduced by a skisma. There are three pure
majors: C, G, D. Therefore, the major triads on C and
G are pure. Same goes with the minor triads, on E and
B. The four major thirds on C#, G#, Eb, Bb are
Pythagorean. The coexistence of pure and tempered
chords gives a peculiar character to this tuning.
WERCKMEISTER III (WERCKMEIST.3 on
display)
Based on four fifths, each reduced by ¼ Pythagorean
comma – the others are pure. Creates three Pythagorean
major thirds on: C#, F#, G#. As the number of
alteration in the piece performed increases, so does the
harmonic tension.
PYTHAGOREAN
Based on eleven pure Pythagorean fifths and a wolf
fifth on G#. This tuning can be used to play monodies,
and music that does not use thirds in general. Most
useful for curiosity and educational ends.
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