The temperament crusade continues

Richard Moody remoody@easnet.net
Tue, 14 Dec 1999 00:43:33 -0600



----------
> From: A440A@AOL.COM
> To: pianotech@ptg.org
> Subject: Re: The temperament crusade continues
> Date: Monday, December 13, 1999 5:13 AM
> 
> Richard writes:
> >I would welcome any evidence from the composers themselves. If
temperament
> > was so important they surely must have said something on the subject. 
> > There is no direct evidence (to my knowledge) of how Mozart's or
> > Beethoven's piano was actually tuned or which tuning if any they did
> > prefer.  
> 
>   Now that you mention it,  I don't think George Gershwin ever said a
thing 
> about temperament,  

	Ok, but I am still looking for composer's statements about temperament.
	If that is so about Gershwin, then one may deduct he only  heard one.
Which one,? probably ET.  Have we established any facts here, No, only
probabilities. But If that deduction is allowed then we must extend it to
Mozart and Beethoven. 
There is  historical evidence that leads us to believe more than one
temperament were  tuned and heard in their time.  That is why we are
having discussions of historical temperaments today. Since it is
reasonable to assume there were more than one temp in Mozart and
Beethoven's time, the question arises, which one if any did they favor? 
The evidence to that question is lacking. Only those who can play their
music in the different temperaments of that time can give us a guess.  It
is only a guess,  but I must admit a very educated one., and just as valid
unless contrary direct evidence is discovered.  After all these years the
chances are slim. 

	It is the presenting of FACT that so and so used thus and thus
temperament that is contrary to the historical method. Direct evidence is
needed to establish historical fact.  Given that,  your statement below
when seen through the historical method would ask, "what is your source"
and "what exactly is the direct quote"

>      Yes,  and according to Kirnberger's account of Bach's son
statement, 
> Bach himself didn't want an equal temperament.  That is concrete
evidence 
> right there, no?   

Here we have a fifth  hand source.  The fifth hand is you, the fourth hand
is the person who wrote about Kirnberger's account, the third hand is
Kirnberger himself, the second hand is Bach's son, and the source or
primary source is J.S.Bach himself.    Now Kinrberger's account, ie his
actual words would be of interest here, since Kirnberger is a historical
figure who had direct effect or influence on temperament.   Unfortunatly 
Kirnberger's words are not given nor the source of his words is given, so
no further research can take place,	
	I should add to Beard's dictum, "No evidence, no History", to say "No
research, no evidence".   The primary foundation of the historical method
is research, and the primary dictum of research is documentation of
sources. 

	That "Bach didn't want ET" is often quoted, and simply taken at face
value.  But being in the profession of piano tuning, I have an interest to
see the source of that quote and evaluate it as a piano tuner in the 20th
century.  From third and fourth and fifth hand sources I have read, I have
reason to suspect that Bach objected to a "mathematical basis of the
establishment of temperament".  I know that in his time the monochord was
used to present musical intervals mathematically derived, especially ET
intervals.  However when these were attempted to be parallel tuned  to
other instruments the failure was dismal. If this is what Bach was
objecting to, then the words "Bach objected to ET" takes on a different
meaning.  This I am not presenting as historical fact. Only a hypothesis
that I have not proven. I probably don't even have enough evidence to
present a formal hypothesis, and I didn't document my sources.   But still
the material is out there which may or may not prove my point.  

>     I must respectfully disagree. Saying "So and so  MAY have used
>  this temp at that time"  doesn't quite mean the same as saying that
there 
> was a genre of tuning style that was extant at their time.   

I didn't mean it to mean that. My point was, no matter what genre of
tuning style extant at their time, we don't know what genre they may or
may not have used, favored, or recommended for us to use.   
--
>There is a 
> preponderance of evidence that indicates something other than ET was in
use 
> for the period between 1400 and 1900.  

There is a ton of evidence that ET in concept at least was known since the
Greeks. Aristoxones proposed a scale in ET.  ET was in use when lute 
makers were using 18/17 to space their frets which gave semitones of 99
cents.  ET is most suitible for lutes and the other fretted instruments.
Mersenne in 1638 reports this was in use  much earlier, and gives the ET
intervals for keyboards and organs even more exactly.  CAUTION this does
not mean tuners actually tuned keyboards and organs to these figures. As
far as actual tuning Mersenne  describes  narrowing  the fifths "by a
barely discernable amount" This was not meantone, as those fifths are
narrowed "as much as ye eare can beare"   nor could it involve pure fifths
as the Wells did. Was this ET in 1630? 
	 The methods reported by Ellis in 1870 in at least three English
factories indicate a tuning of narrow fifths, just enough so the last
fifth "comes out as good as the first".    Ellis reports that John?
Broadwood published an article in an English scientific journal explaining
how to tune a piano in ET.  This was in 1809. Ellis history of ET in The
appendices of Helmholtz, _The Sensation of Tone_  is must reading. 
	Mark Lindley who wrote the article in New Groves gives documented
evidence of ET as far back as you wish to go. 

>The production of ET requires more work than any 
> of the others, so that is another reason to assume that the average
1700's 
> shop worker sent out to tune wouldn't even consider it.  Why would an
poorly 
> paid instrument worker want to push the avante-garde notion of ET when
it is 
> the most difficult tuning there is and very little evidence that it was 
> desired?  Especially in an era in which ET was the province of just a
few 
> theorists? That doesn't seem reasonable. 

ET was a theoritical concept up until, well some say until when machines
were perfected in the 1990's. ; )   As far as the difficulty of tuning ET
that concept is lost with machines.  By that I mean any tuning  I would
assume to be as easy as the next with a machine. . 
	If one attempts the tuning of historical tunings by their historical
procedures,  ie aurally, the notion of "difficulty" becomes more "real". 
For me Meantone and ET are the most difficult.  The "irregulars" or the
ones involving both pure fifths and tempered fifths seem the easiest.  Of
course the easiest of all is the Pythagorean, which is a temp of all pure
fifths with the last one as the wolf.   There is an interesting article by
Mark Lindley in the journal _Early Music_ that covers Pythagorean tuning
and some very interesting effects gained from different placement of the
wolf. In that article are some insights into the early applications of ET
also.  Jan 1977 I believe is the date. In this article he quotes composers
talking about ET in the time of Frescobaldi(sp)  When Ed mentions what
shop workers might favor, I have to believe they would favor the easiest
of a Valotti or Werckmeister.	
	It is without a doubt that the elimination of the "wolf" was the goal in
keyboard tuning.  That would enable playing in all of the keys.  Meantone
does not allow this nor Pythagorean.  Only the so-called Wells and there
are at least 3 or 4 of them, or ET.  The Wells being easier to tune
perhaps were favored until the profession of Piano Tuner came along.  I
would like to date that with Broadwood's article on how to tune ET in
1809.   First I need to get a copy of that article.  Perhaps a list member
in England can slip into a library and scan it and email it.  I don't want
to propose anything illegal, I will pay for it if such a service exists.  
---ric 


>     In short, there is more reason to believe that Mozart and Beethoven
used 
> irregular, circulating tunings than there is reason to believe that they
used 
> ET.  So,  with concrete evidence lacking,  

I would like to see translations of Werckmeister, and a German theorist
Neidhardt.of 1730.  
I saw a mention somewhere that German theorists used  a unit sort of like
a comma that stood for the amount that was needed to make the fifths
equal.  Was this in New Groves? ---ric






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