WELL TEMPERED GUITAR

Valotti Well Temperament for Guitar
and
"Victorianized" Valotti for Guitar
by
Bill Bremmer RPT
(forwarded by
Paul Bailey RPT
San Mateo, CA)
=======================================
Here are the SAT readings for a Vallotti on the guitar:

All notes are read on octave 4:

E2: -4.0 A2: 0.0 D3: 2.0 G3: 4.0 B3: -2.0 E4: 0.0

The discrepency between E2 (-4.0) and E4 (0.0) provides for adequate
octave stretch. There is inharmonicity in guitar strings just as there is
in
a piano's. The -4.0 between A2 and E4 is "adjusted" for inharmonicity to
-2.0. The guitar's natural inharmonicity makes this interval beat
adequately.
(Inharmonicity naturally causes 5ths & 12ths to beat more slowly and 4ths
to
beat more rapidly than their theoretical rate).

Here is the "Victorianized Vallotti":

E2: -2.0 A2: 0.0 D3: 1.0 G3: 2.0 B3: -1.0 E4: 0.0

Either one of these can be approximately duplicated aurally by simply
putting more of a beat (than in ET) in the 4ths and the 12th that occur on
the
fingerboard which will considerably slow down the beating in the G3-B3 3rd
and the D3-B3 6th. Making these 2 rapidly beating intervals beat "gently
and
pleasantly" to the ear then evening out the slow-beating intervals is the
aural goal while keeping A2 in a good unison with the pitch source.
The frets, which are immovable, will cause the harmony to align itself
with the cycle of 5ths and thus the expected "key color" of a
Well-Tempered
Tuning will occur.
The above figures for a "guitar Vallotti" were used in a production of
"The Man of La Mancha" with Madison Opera in 1993. A very clear
distinction
could be heard from the guitar in the serene sound of A minor and the very
dark and disturbing sound of both Bb minor and Ab minor which were written
for
the guitar in the score.
Sincerely,
Bill Bremmer RPT


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