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<DIV>Hello,</DIV>
<DIV> </DIV>
<DIV>I'm sure this will sound like a very simple question. I'm =
trying to
follow the conversations on these different temperaments. I have =
not the
slightest idea what most of them are. Is there a book that =
explains the
different temperaments and how to set them aurally? I'm new to =
this and
Equal Temp. is the only temperament that I have been introduced =
too. Since
it's the only one I've known, I like it but there seems to be some very =
strong
likes for other temperaments that I don't know.</DIV>
<DIV> </DIV>
<DIV>Please help.</DIV>
<DIV> </DIV>
<DIV> </DIV>
<DIV>Bobby Sims<BR><A
href="mailto:sims-n-sons@ev1.net">sims-n-sons@ev1.net</A><BR>----- =
Original
Message ----- </DIV>
<BLOCKQUOTE
style="BORDER-LEFT: #000000 2px solid; MARGIN-LEFT: 5px; MARGIN-RIGHT: =
0px; PADDING-LEFT: 5px; PADDING-RIGHT: 0px">
<DIV
style="BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: =
black"><B>From:</B>
<A href="mailto:Billbrpt@AOL.COM" =
title=Billbrpt@AOL.COM>Billbrpt@AOL.COM</A>
</DIV>
<DIV style="FONT: 10pt arial"><B>To:</B> <A =
href="mailto:pianotech@ptg.org"
title=pianotech@ptg.org>pianotech@ptg.org</A> </DIV>
<DIV style="FONT: 10pt arial"><B>Sent:</B> Monday, October 22, 2001 =
6:38
PM</DIV>
<DIV style="FONT: 10pt arial"><B>Subject:</B> Re: SV: Aaron and =
Meantone</DIV>
<DIV><BR></DIV><FONT face=arial,helvetica><FONT size=2>In a =
message dated
10/22/01 6:10:56 PM Central Daylight Time, <A
href="mailto:pianola@online.no">pianola@online.no</A> (Ola =
Andersson) writes:
<BR><BR><BR>
<BLOCKQUOTE
style="BORDER-LEFT: #0000ff 2px solid; MARGIN-LEFT: 5px; =
MARGIN-RIGHT: 0px; PADDING-LEFT: 5px"
TYPE="CITE">/7 comma and 1/8 comma must be a modern temprement. They =
should
not be called HT. I think tuning MT with a computer is another =
consept than
what Aaron and his friends was doing. I guess there is nothing wrong =
with
1/7 MT but it is not a HT. It was a comment to Bill Bremmer who =
called it at
modern pianotuning or something wich I agree it is. <BR><BR>By the =
way I
often tune a 1/12 comma meantone:-) <BR></BLOCKQUOTE></FONT><FONT
color=#000000 face=Arial lang=0 size=3 =
FAMILY="SANSSERIF"><BR><BR>The 1/7
Comma Meantone is indeed an HT. It was designed by Jean-Baptiste =
Romieu
in France, 1755. It can be found in Owen Jorgensen's first =
publication,
Tuning the Historical Temperaments by Ear. Although there are =
some
historically documented 1/8 Comma Well Temperaments, there is no 1/8 =
Comma
Meantone. It, therefore, is a modern temperament. <BR><BR>All of =
the
different Comma Meantones are easily constructed with an ETD. By =
definition, a Meantone Temperament is a chain of 5ths all tempered =
exactly by
the same amount. There can be variations but a pure Meantone =
Temperament
is constructed this way. The Comma to which they refer is the =
Syntonic
Comma whose value is 21.5. If you divide 21.5 by 4, you get =
5.375.
Therefore, a 1/4 Comma Meantone's 5ths are all theoretically =
5.375 cents
narrow. <BR><BR>You can create a Meantone of any fraction you want. =
A
properly constructed 1/8 Comma Meantone has 5ths of about 2.5 cents =
narrow
(when adjusted for inharmonicity). This will produce mild 3rds =
like
those of the Victorian Temperaments and a very mild "Wolf" 5th (about =
5 cents
wide). <BR><BR>The Modified Meantone Temperaments are a whole class of =
Temperaments which may temperament researchers ignore. What they =
do is
to take that "Wolf" of a Meantone Temperament and divide it between =
two or
more of the 5ths among the black keys. This smoothes out the =
dissonance
of the "Wolf" itself and the 3rds on that side of the temperament. =
<BR><BR>My
EBVT is, in fact, an Irregular 1/8 Comma Modified Meantone =
Temperament.
Normally, a Modified Meantone Temperament could not satisfy the =
Rules
for Well Tempered Tuning written by Andreas Werkmeister but in this =
case, the
modifications allow it to just barely meet those rules. It can =
therefore
also be considered a Victorian style Well Tempered Tuning. <BR><BR>ET =
is
actually the equivalent of a 1/11 Syntonic Meantone Temperament. =
21.5
divided by 11 is 1.954, virtually the same as the -2 cent ET 5th. =
The
Ditonic (not Diatonic) Comma value is 24 cents. ET is also a =
1/12
Ditonic Comma Meantone. <BR><BR>If a customer asks me if there is a =
choice of
how to tune the piano, I always say, "Yes, a nice, sounding, Well =
Tempered
Tuning or that awful 1/11 SYN-tonic MEAN-tone tuning. Which =
would YOU
prefer?" So far, none has ever asked for ET. }:)
<BR><BR></FONT><FONT color=#000000 face=Arial lang=0 size=2
FAMILY="SANSSERIF">Bill Bremmer RPT <BR>Madison, Wisconsin</FONT>
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