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.
Meantone 3# - Meantone 3b
This tuning is the prototype of all temperaments based on fifths reduced by ¼ of syntonic comma. This generates
eight pure major thirds: Eb, Bb, F, C, G, D, A, E. However, the other thirds are unsuable (B, F#, G#). The fifths
are defined as meantone fifths: shorter than pure fifths but still sounding well. Only one, G#, fills all the gap created
by 11 others and becomes a wolf fifth. Tonalities with little alterations sound very pleasant. Well characterised
chromatic scale. Move the wolf on C# to use the G# key as Ab.
Vallotti
Based on six fifths, each decreased by 1/6 of Pythagorean
comma. The others are pure fifths. The major thirds on Eb–
B, Bb–E, F–A are equivalent, as the ones on C, G and D.
Thirds on F#, C# and G# are Pythagorean instead.
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