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I can understand how some will find many harmonies 'dead' sounding.
Our ears are very used to the equal temperament sound. However, I
noticed that certain combinations of tones up to dominant 7ths sounded
very clean and pure. (I liked it!) I'm now starting to think
that any serious pianist should at least try baroque and other early
music on an instrument with a historical tuning because it may provide a
new basis for certain articulations. Now my new lifetime goal is to
hear the 1/4 comma tuning on an organ or harpsichord!<br>
<br>
Well, my C7 is back to ET. *sigh*<br>
<br>
Larry Beach, RPT<br>
Vancouver, Canada<br>
<br>
At 07:04 AM 4/13/2001, you wrote:<br>
<font face="arial" size=2>There are a couple of things confusing
about your experience but basically, <br>
<blockquote type=cite cite>I think you must have got it. The
classic 1/4 Syntonic Comma Meantone tone <br>
is constructed by making a chain of 5ths, each one tempered by 1/4 of the
<br>
value of the Syntonic Comma (21.5). 21.5 ./. 4= 5.38.
Tempering each 5th by <br>
5.38 will make 8 pure 3rds and leave 4 very wide (wolf) 3rds and the last
5th <br>
which cannot be tuned will be over 40 cents wide. This untuned 5th
is <br>
usually left between Ab-Eb but sometimes between Db-Ab. <br>
<br>
Now, because the piano has Inharmonicity, this changes all of the above
<br>
slightly just as it skews the values of Equal Temperament (ET) or any
other <br>
temperament. To come out right, the 5ths will be tempered a little
less, <br>
more like 5.0 or 5.1 which will leave the 3rds tempered but less than 1
cent. <br>
They will still sound pure but actually have a very slow beat, not
quite 1/4 <br>
of a beat per second. <br>
<br>
In such a tuning, the octaves should not have the kind of stretch you
would <br>
usually give ET or a more modern temperament. The temperament and
minimally <br>
stretched octaves will "kill" all of the usual resonance you
expect from the <br>
piano. The piano will take on an entirely different quality.
To me, it <br>
makes it sound "antique". <br>
<br>
Personally, I don't really like this sound but if you really want an
<br>
authentic sound for early music which comes from J. S. Bach's time or
before, <br>
it is the temperament to tune. In a concert setting, you would
likely choose <br>
a piano with low inharmonicity and maybe one which is smaller and less
<br>
preferred. A second piano used for later compositions tuned in a
later Well <br>
Temperament or Modified Meantone would work for music from later periods.
<br>
<br>
It's not a bad idea in one's home to have the good piano tuned in ET or a
<br>
late HT and the spinet tuned in 1/4 Comma Meantone. Children
practicing <br>
early music on the spinet in Meantone learn a different kind of sound and
<br>
harmony. <br>
<br>
It's important to remember that the 1/4 Comma Meantone is at the opposite
end <br>
of the spectrum from ET. While there are even more extreme
possibilities <br>
(the 1/3 Comma Meantone, for example), the 1/4 Comma Meantone represents
<br>
about as radically different kind of sound as you can get from ET. <br>
<br>
It is possible to tune a chain of 5ths all the same amount by many other
<br>
fractions of the Comma: 1/5, 1/6, 1/7, all the way to 1/11. The
last is the <br>
equivalent of ET. The 1/7 Comma Meantone has become popular in my
area. The <br>
last untuned 5th rather than being a "wolf" is only slightly
dissonant. It <br>
ends up making the key of Ab have a very powerful, "electrically
charged" <br>
kind of sound. <br>
<br>
Enjoy exploring the sound of the 1/4 Comma while you have it. <br>
<br>
Bill Bremmer RPT <br>
Madison, Wisconsin</font><font face="arial"> </font></blockquote></html>