more on this temperament thing

Billbrpt@AOL.COM Billbrpt@AOL.COM
Sun, 28 Oct 2001 13:38:52 EST


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In a message dated 10/28/01 11:08:29 AM Central Standard Time, A440A@AOL.COM 
writes:


> Werckmeister's ideas of the late 1600's tempered the wolf, opened the 
> door, and provided a musical scale that exhibited the "character of the 
> keys", which fell into line with the previously popular,(at least with 
> theorists) "doctrine of affections".  The lack of wolves allowed the sonata 
> form to develop, ushering in the ever increasing complexity of harmony we 
> see 
> 

Sorry but Werkmeister didn't "temper" any wolves.  The so called "wolf" is an 
untuned interval that is the result of purposefully tuning others to suit 
musical taste. Since the "wolf" is the waste end of tuning, it is not 
*tempered* as such. Werkmeister replaced what he considered to be the 
unusable side of the cycle of 5ths with the barely more usable Pythagorean 
style harmony which has pure 5ths and very wide 3rds (which are also 
considered to be "wolves").

Others handled this problem in a different way by tuning milder Meantones in 
which the 3rds were not pure but which allowed for a more usable 12 tone 
scale.  The 1/5, 1/6 and 1/7 Comma Meantones are examples of these.  Still 
others solved the problem by dividing the one very harsh "wolf" triad between 
two or more others.  The latter is known as the Modified Meantone temperament 
which many people use(d) in the same way as the Well Tempered tuning is used. 
This effectively accomplishes the same idea that Werkmeister had of making 
all 12 keys usable but still provided for a distinctly different character 
for each.

This difference in character of keys is nothing mysterious nor intangible.  
It has only to do with the beat rates of 3rds & 6ths principally and of 
whether 4ths & 5ths are pure or tempered and if so, by how much.  This is, of 
course, what is meant by Western intonation, including but not limited to 
*Waylon, Willie and the Boys*.  All one needs to do is compare virtually any 
music from Western Europe or the New World from any time during the 17th 
through 20 Centuries to that of anywhere east by southeast of Italy.

Our 12 tone keyboard is foreign to their music and their scales, melodies and 
harmonies are foreign to Western ears.  In my opinion, it is a mistake to 
think that there ever was or is at this time any music worth listening to 
that ever *requires* ET. ET is merely a choice that is increasingly being 
seen as the least desirable one to make. The mistaken thinking goes all the 
way back to Werkmeister's time when virtually departure from 1/4 Syntonic 
Comma Meantone was dubbed "equal".

Even though musicians, composers and tuners may have always thought in terms 
of ET, a true ET on a keyboard of any type hardly ever really happened, even 
up to the last part of the 20th Century.  Now, there are finally people who 
can do it, whether by ear or with an ETD and are calling it "perfect" and the 
process to end all processes.  Many, if not most people who can do this want 
all other kinds of ideas suppressed and eradicated in favor of the one and 
only *scientific* tuning even though it does not express virtually any music 
with the best possible intonation.  Witness all of the people who have 
expressed that the piano seems somehow *better* when it has lost to some 
degree what had been considered *perfect*.

In my view, the *perfect* 12 tone keyboard temperament is one which suits the 
situation and does not violate or negate the *affections* of the keys (or 
what I prefer to call Key Color) provided by any of the Cycle of 5ths based 
temperaments.  The modern piano is quite different in many ways from the 
earlier instruments used by 17th through early 19th Century composers.  
Therefore, using any of the typical earlier HTs that are highly restrictive 
cause the modern piano to sound *altered* from the way it is intended.

The modern piano is a Victorian age instrument as is the concert harp.  It 
makes a lot of sense to tune a scale which is nearly equal but not entirely 
so and which reflects traditional Cycle of 5ths based harmony.  It also makes 
sense to take advantage of certain acoustical tricks such as those afforded 
by Equal Beating intervals in both temperament intervals and octaves.  These 
techniques help suppress the undesirable effects of tempering and bring out 
clarity and resonance.

The piano, the harp and other stringed instruments can be tuned to produce a 
very sweet and pleasing sound and resonance.  All that's necessary is a 
complete understanding, a plan and the determination to do it.  
Unfortunately, I don't see these ideas in some of the shortcut ETD methods 
where sets of deviations of other deviations are expected to produce some 
kind of magical results.  Those who understand the goals, the aural processes 
and know how to use an ETD to really create an artful tuning *design* rather 
than mindlessly churning out results which are dubious, erroneous, the goal 
unknown and misunderstood are the ones who are keeping the *dead end* of 
tuning evolution open.

I don't tune in ET and I don't use my SAT's FAC program because I know far 
superior methods.  In my experience, nearly anyone who says he/she really 
*wants* ET doesn't really know why and is making that determination out of 
institutionalized ignorance and misunderstanding.  I typically tune the 
common, in home piano *twice through completely* (assuring accuracy and 
stability) in 30-45 minutes.  A concert tuning where I make 3 complete passes 
may take as much as an hour.  I can tune to about the same degree of accuracy 
and stability either aurally or with the SAT in about the same amount of time.

The programs I create entirely from scratch that provide a foundation for 
what I do may take 2-3 hours to create but once accomplished, they provide a 
firm foundation for the ordinary and high level tuning that I do routinely.  
For those who wonder why it takes some people much longer to tune, a study of 
procedures, muting techniques and concentration are what is in order. 

My speed has increased steadily over the years.  I can tune about twice as 
fast now as I could 15 years ago.  Learning to use the SAT actually slowed me 
down considerably for about 3 years.  I don't really use it for speed as much 
as I do ease of attaining consistency and stability with a very significant 
reduction of overall stress being the most important benefit.

Bill Bremmer RPT
Madison, Wisconsin

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