[CAUT] CAUT Meantone

[ibook]

An addition to previous comments on Meantone.
Meantone usually starts with a pure third arrived at by four  
scrunched fifths approximately two beats ezch.  The meaning of  
meantone most used is that re is half way between do and  mi making  
the two whole steps equal.  It is also described as the even division  
of the didemic comma to two equal parts.
The rest of the scale is produced by eight perfect plagel (fifths  
downward) fifths back to the third of the scale.  It may be  
surprising what this does for the thirds of the primary chords of the  
primary key.  The rest of the thirds are found to be something  
between exciting and unusable.

Modified meantone scales, i.e., 5/8, 6/8, 7/8 (Velloti) are produced  
by enlarging the four initial fifths to cause a larger third but  
still short of an ET third and the rest of the fifths to be adjusted  
to produce the rest of the scale with attention to how they affect  
the remaining thirds and fifths.

Well temperament may be considered to be anything between a freer  
meantone and a rather loosely produced equal temperament, or an equal  
temperament carefully calculated to favor the musicallity of specific  
works which may mean retuning for each piece.


Daniel Gurnee, HSU Ret.
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