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<DIV><FONT face=Verdana size=2>Bernhard, I did not mean to discredit =
you by
referring to the tuning as <FONT face="Times New Roman" size=3>"the =
Brekne
Perfect 12th tuning" <FONT face=Verdana size=2>I </FONT></FONT>have =
no problem
referring to this simply as the Perfect 12th Tuning. </FONT></DIV>
<DIV><FONT face=Verdana size=2></FONT> </DIV>
<DIV><FONT face=Verdana size=2>I'm not concerned right now in the =
"new musical
system" aspect of your intellectual property. There are powerful "public =
domain"
reasons for the perfect 12th tuning. It's a very logical way to deal =
with
inharmonicity, for example. And in practice it appears that the =
bass cannot
be tuned in perfect 3:1 twelfths, but some compromise needs to be made, =
and that
is what we are trying to determine using TuneLab as a tool. I would =
think the
Stopper Perfect 12th Tuning would insist on pure 3:1 matches right down =
to A0.
Does your system address the peculiarities of inharmonicity in the
piano?</FONT></DIV>
<DIV><FONT face=Verdana size=2></FONT><BR>> I've worked out the =
method of
tuning the Brekne Perfect 12th tuning </DIV>
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<DIV><FONT face=Arial size=2>Jason,</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>I published the perfect 12th =
tuning in euro
piano 3/1988 as "Stopper tuning - equal temperament on the base =
of pure
dudecimos". </FONT></DIV>
<DIV><FONT face=Arial size=2>The base for this tuning is a 12 pure =
12th circle
closing with 19 Octaves plus pythagorean comma what itself describes a =
new
musical system.</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT><FONT face=Arial
size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>I did not found any earlier =
publications
relating to this tuning/musical system.</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>BTW it may also be said that the pure =
fifth
tuning was invented by the french Serge Cordier and not by Mr. Coleman =
as
often stated here and on many internet sources.</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>regards,</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>Bernhard Stopper</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
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