Non-Equal Temperaments

[Joe And Penny Goss]

Hi Corte,
It may be that the couplers are exactly the same size while the space
between the bridge pins is not.
This would cause you to think that those little couplers were not the same
size.
And as to the cost, while the size of the little fellers might lead you to
think that they should not cost much, the cost of research and development
is very high to bring any tool or product to market.
Just a simple plastic part will cost $10,000 to just make the mold to make
one casting.
Now if you sell millions that cost can be spread to let the pare to only
cost a few cents.
Now how many piano tuners are there in America? <G>
And how much do you charge for a tuning?
I had better stop now before I raise up on tip toes on my soap box.
Joe Goss
imatunr@srvinet.com
www.mothergoosetools.com
----- Original Message ----- 
From: "Ron Koval" <drwoodwind@hotmail.com>
To: <pianotech@ptg.org>
Sent: Friday, April 02, 2004 2:06 PM
Subject: Non-Equal Temperaments


> Hey Conrad,
>
> I'm guessing this is just a case of over-re-simplificating, but when you
> wrote this:
> <snip>
> I never said all fifths were pure. The fact that they _can't_ all be pure
> is why we have to temper in the first place!
>
> All the methods of tempering are efforts to split that difference.  The
> more times you split the difference, the fewer pure intervals until you
get
> to ET, where there are none.
> <snip>
>
> It might have been a bit more clear to observe that there are a great many
> temperaments that do not have ANY pure fifths, yet produce key color.  The
> Wells and Victorians value a range of dissonence, rather than just "good"
or
> "bad".
>
> But back to Corte's question..... Hmmmm, do they "ripen" quicker?  What
> normally goes out first?  Unisons.  There shouldn't be any difference
there.
>   Next, if you live in a variable climate, I guess the octaves start
getting
> spread, or contracted, around the break.  All of the machine-generated
> temperaments set the octaves the same way as ET, so there shouldn't be any
> difference there, either.  Only in the EBVT, by Bill Bremmer, do the
octave
> widths get tempered, based on the tempering of the octave 5th.
>
> So we are down to the other intervals going out..... Here's the weird
thing.
>   ET has all of the beat speeds of intervals, from real slow in the bass,
to
> real fast in the treble.  Moderate temperaments share many of the same
> beatspeeds, just in a different order than an ET tuner would expect.  It's
> easy to find a third out of place in ET by using a chromatic progression.
> Since the thirds are already "out of order" in an alternate temperament,
> there might actually be a little more movement allowed, before the
> differences are enough to alter the character of the temperament.  But
> remember, we are already way down the list past the unisons going out
before
> any of this comes into play.  Once the unisons get ripe, all bets are off!
>
> So my guess would have to be that ET is the quickest "ripening"
temperament,
> due to the minute tolerances required to actually achieve a true ET.
>
> Ron Koval
> Chicagoland
>
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