Tom writes:
<< I was surprised to learn that ET did not really
exist prior to 1917. Now, the part I'm unclear on: I believe that it was
stated that this treatise, published in 1917, was the first to utilize the
concept of listening to beats in order to tune a temperament.
First of all, is the above information correct? <<
Greetings,
Richard B.'s response was, to my way of thinking, correct, I will add
the following;
I have a copy of W.Braid-White's 1906 publication,"Theory and Practise of
Fortepiano Building" in which he clearly describes beats. Helmholtz had
gotten fairly close to the same logic 30-4- years before. Jerry Cree Fischer
demonstrated the utility of hearing 11 bps in a booklet published, I think,
in 1911.
However, rather than considering the concept of "listening to beats" in
order to tune a temperament, maybe we should consider when it became the norm
to "count" beats. I think all tuning has been done by judging the amount of
beating, but it was judged by "musical" standards earlier, and today is done
by comparitive (counting and matching) standards.
By this I mean, the 1775 tuner, who was possibly a worker in an
instrument shop or a local church choirmaster, hummed a tune, found his
interval, listened to the quality of a third, made a decision, and went on to
another, playing out an abstruse game of give and take until all the
chords,(with their thirds) in an octave were arranged in some semblance of
order. That was a lot easier than trying to arrange an interlocking set of
relationships that didn't vary between keys. You could do this by musical
judgement and not need to exactly match certain rates.
An analogy is the attempt to space 13 pennies exactly equidistant
without the use of a measuring device other than your senses. It is a lot
easier to place them so that the spaces between them are each a little larger
than the preceding one. In the former, there is only one answer and it has
to be replicated exactly 12 times, in the latter, there is a lot of room for
variety while still getting it 'right'. Which would be the temperament a
worker would prefer to do?
>>And if it's true that tuners
didn't use beats to tune a piano prior to 1917, what did they listen to?
Harmonic values, progressions as the thirds departed from C,(or in the
Valotti style, F). It isn't hard to make a pure C-E, then open it up a
little so that you can fit four fifths between, etc. They were listening to
beats, but I don't think they were assigning a numerical value, just how
"good" or harsh" they were. That is why Jorgensen calls it a lost art, it
was artistic musical judgement that made a good tuner, ET only calls for a
scientific approach. ( I know, I know, the perfect ET "has to come from the
tuner's ear and judgement", but when you get down to variations of 1 cent or
less between keys, you are beyond the limit of discrimination for virtually
all tuners and certainly all pianists. ) The modern hardware easily
surpasses this on well scaled instruments,(big ones), and I don't think "art"
describes something a computer chip will do in response to a set of numbers
from us. (there is a huge semantics room involved here).
Regards,
Ed Foote RPT
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