<HTML><FONT FACE=arial,helvetica><FONT SIZE=2>In a message dated 1/17/01 12:55:07 PM Central Standard Time,
<BR>cneuman@phy.duke.edu (Charles Neuman) writes:
<BR>
<BR>
<BR><BLOCKQUOTE TYPE=CITE style="BORDER-LEFT: #0000ff 2px solid; MARGIN-LEFT: 5px; MARGIN-RIGHT: 0px; PADDING-LEFT: 5px">Wow, that's interesting. I never thought about that: you can choose to
<BR>keep the 5ths pure and still have ET if you let the temperament octave be
<BR>stretched. Now, how about ET with pure 4ths? That would involve scrunching
<BR>(there must be a technical term for the opposite of stretching) the
<BR>temperament octave. I would imagine it would sound horrible, but I'm
<BR>curious if anyone has tried it.
<BR>
<BR>Is ET with pure 5ths ever used in practical settings?</BLOCKQUOTE>
<BR>
<BR>Thanks for your question. Yes, here in Madison, WI, we call it the "New York
<BR>Stretch". I've also heard it called "New York style ET" and "Steinway style
<BR>ET" because Steinway technicians tend to favor a pure or nearly pure 5th. A
<BR>New York technician named Lucas Mason wrote a whole book about it in 1985 (I
<BR>think) called, "The New Tuning".
<BR>
<BR>Some people like the idea but it has been controversial. Jim Coleman, Sr.
<BR>RPT wrote an article about it in the PTG Journal to which there were many
<BR>responses, including one from me. One of the big problems with it is that it
<BR>is easy to make a mistake and end up with the kind of backwards version of a
<BR>Well-Tempered Tuning that I call, "Reverse Well". Also, tuning a true
<BR>Pythagorean Tuning which has all pure 5ths except the one which cannot be
<BR>reconciled will produce uneven 3rds which are fast and slow in a reverse
<BR>pattern from that of a Well-Tempered Tuning.
<BR>
<BR>The ET with pure 5ths is most recommended for a large concert grand with high
<BR>inharmonicity such as a Steinway B or D and in a setting such as a concert
<BR>hall where maximum projection and clarity are desired. I wouldn't recommend
<BR>it for a small vertical piano or for a small, intimate setting. It can make
<BR>all of the harmony sound strained.
<BR>
<BR>Your other idea of pure 4ths would occur if you made your octave narrow
<BR>enough and your 5ths tempered enough. It's a worthwhile exercise to see
<BR>which kinds of effects you can produce. It is well known that the Equal
<BR>Beating major triads in second inversion cannot occur in ET but I have
<BR>theorized that with an octave that is narrowed just the right amount might
<BR>produce that effect. I just have never got around to experimenting with it.
<BR>
<BR>I believe the technical term for "scrunching" would simply be "narrow" or
<BR>"narrowing" or "contracting" such as "ET with a contracted (or narrowed)
<BR>octave".
<BR>
<BR>Bill Bremmer RPT
<BR>Madison, Wisconsin</FONT></HTML>