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Remarks Preceding Equal
Temperament
In these short articles it becomes
necessary to bypass the learned trea-
tises and elaborate series of mathemat-
ical calculations as the same can be
read and studied at the public libraries.
In fact, there are a few that can be
purchased at the piano supply houses,
and they are very helpful to gain a
clear insight into the terminologies that
should be of importance when one is
talking about waves, pulsations, beats,
resonance, partial-tones, over-tones,
pure-tones, relative, also summation
and differential tones. All this certainly
exists between intervalic relationships,
but the human "ear" must give way
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to scientific research, in fact all "ears"
do not hear alike.
Tuned in Fifths
Keyboard instruments are tuned in
fifths—if continued for 12 steps B #
will be reached which is the same as
C. The tuner at the beginning learns
to tune each fifth perfect, without any
beats. He then finds B$: would be
higher than C.
The cycle of fifths can be started
again, arriving after twelve more steps
at A double sharp. This process could
be carried on indefinitely arriving where
we left off.
The expert tuner divides the inter-
val of one fifth of a semitone into
twelve parts and makes each semitone
one sixtieth flat, with the result that
when he reaches the B sharp it coin-
cides with the original C, producing
what is known as equal temperament.
The immortalized, and the father of
music, John Sebastian Bach, composed
the 48 Preludes and Fugues. Tuners in
general are grateful for his great de-
sire to prove that each key should be
a tonic, whether it be C, Bqf£, Dbb. An-
other way to reach Bqf£, instead of us-
ing fifth, can work through pure thirds.
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He would soon r e ach B # , but this would
be lower than C; therefore, all major
thirds on our keyboard are much too
large, hence the requiring of thirds be-
ing intoned to conform with in its re-
lation to intervals that we are about to
temper.
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THE REVIEW
Samples
Available
Upon Request
R. S. DRYBURGH CO.
(Box 172)
Wauwatosa 13, Wisconsin
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THE MUSIC TRADE REVIEW, OCTOBER, 1954