<HTML><FONT FACE=arial,helvetica><FONT SIZE=2>In a message dated 1/18/01 12:54:58 PM Central Standard Time,
<BR>tunenbww@clear.lakes.com (Paul) writes:
<BR>
<BR>
<BR><BLOCKQUOTE TYPE=CITE style="BORDER-LEFT: #0000ff 2px solid; MARGIN-LEFT: 5px; MARGIN-RIGHT: 0px; PADDING-LEFT: 5px">Bill</FONT><FONT COLOR="#000000" SIZE=3 FAMILY="SANSSERIF" FACE="Arial" LANG="0">
<BR></FONT><FONT COLOR="#000000" SIZE=2 FAMILY="SANSSERIF" FACE="Arial" LANG="0">I've played guitar for years and accepted the "normal" way to tune. I very
<BR>interested in a "better" way. Do you know a better method?</FONT><FONT COLOR="#000000" SIZE=3 FAMILY="SANSSERIF" FACE="Arial" LANG="0"></BLOCKQUOTE>
<BR></FONT><FONT COLOR="#000000" SIZE=2 FAMILY="SANSSERIF" FACE="Arial" LANG="0">
<BR>This was discussed not too long ago. Basically, the document from the
<BR>Luthier Guild says what I have observed, that guitarists tend to tune the
<BR>4ths of a 6 string guitar pure which results in a "Pythagorean" type tuning,
<BR>e.g., the 3rds and 6ths are left very wide and "sour" sounding. Of course,
<BR>the musician does not like this sound, so he/she attempts to "sweeten" the
<BR>tuning in an uncontrolled, haphazard way.
<BR>
<BR>The document reflects the same belief that has been held since the time of
<BR>Helmholtz: that the *only* solution can be ET. What I believe, and what I
<BR>have seen a few enlightened musicians do and what I have proved to myself
<BR>many times over is that really for both the piano and the guitar, a *slight*
<BR>tempering in the direction of a Well-Tempered Tuning *is* possible and it
<BR>will result in a more musically pleasing sound. There is a limit however,
<BR>and the range within you can work is small. Exceeding that range will result
<BR>in unacceptable sounds as most people believe, fear and want nothing to do
<BR>with.
<BR>
<BR>For the guitar, it simply means that you will temper the 4ths a little more
<BR>than you do for ET. This produces more gently beating 3rds and 6ths in the
<BR>simple keys and slightly faster, brighter sounds in the remote keys but still
<BR>within a margin that the contemporary ear can accept and also and most
<BR>importantly, in an alignment with the cycle of 5ths that is musically
<BR>*appropriate*. It does produce more noticeably tempered 5ths and unisons
<BR>which are more imperfect than in ET but just as with the piano, these
<BR>imperfect consonances are not at all troublesome in a real musical context.
<BR>
<BR>This leaves all chords or "forms" as the Luthier Guild document calls them
<BR>*accessible* although they are *not* equal. That means that traditional Key
<BR>Color is restored. The document asks you to accept that this is not
<BR>possible. All I'm saying is that it *is* possible. The document wants you
<BR>to believe that you must accept the not-so-nice sound of ET chords, telling
<BR>you essentially, "take it, and get used to it, because this is as good as
<BR>you're going to get." I have heard essentially the same arguments concerning
<BR>ET for piano and I do believe that most people think that way, that the sound
<BR>of ET is as good as can be produced on the piano, so you better get used to
<BR>it and learn to accept that as a beauty of its own.
<BR>
<BR>It all sounds too much like the kind of thought control that was the subject
<BR>of George Orwell's novel, "1984", which is one of my favorite books. I
<BR>happen to think that Orwell saved much of the world from this kind of tyranny
<BR>by illustrating it so well and powerfully in his story. Anytime people
<BR>believe there is too much government control in our lives, they cite the "Big
<BR>Brother" image that Orwell created. His story gives us the hope that we
<BR>*can* resist this kind of domination and that we do not have to accept
<BR>everything that is told to us, written in books or dictated to us by a
<BR>controlling authority. We do have the right and ability to question such
<BR>statements as "...no further tuning adjustments are permissible."
<BR>
<BR>The following is and excerpt form my post on the subject. There are numbers
<BR>posted at the bottom which can be used with an electronic tuner. These
<BR>represent the results of careful listening and tuning of the guitar by ear.
<BR>
<BR>"A guitar nicely tuned in ET does not sound bad but it is possible to create
<BR>somewhat of a Well-Tempered sound but only within a narrow range. It is
<BR>analogous to the Pythagorean type sound you get from tuning pure 4ths. All
<BR>you have to do is temper your 4ths a little more than for ET and you will
<BR>have a sweeter sounding guitar. But again, only up to a certain and limited
<BR>point. You cannot go all the way to 1/4 Syntonic Comma Meantone. But what
<BR>you can do is get about half way there with what ends up being a Vallotti
<BR>type temperament.
<BR>
<BR>The following is something I saved for some reason from a post I made a year
<BR>and a half ago on this subject. Be sure to search the archives if you are
<BR>interested. There are some who claim that only ET will work, otherwise the
<BR>guitar is simply mistuned. After that, I will post the two schemes which
<BR>represent the two Well-Tempered possibilities there are for the six string
<BR>guitar."
<BR>
<BR>
<BR>"I have only the most basic skills with a guitar but sometimes "necessity
<BR>is the mother of invention". I was among the cast of a production of The Man
<BR>of La Mancha when it became apparent to me that I could help the guitarist a
<BR>little by tuning his instrument for him. The circumstances were that the
<BR>Opera company, with its proverbial limited budget, could not find or afford
<BR>an available well-qualified guitarist.
<BR>
<BR>They did find someone who was a student of Spanish style guitar playing who
<BR>looked good in the costume they had for him. He not only had trouble tuning
<BR>his instrument but also following the ensemble. Everyone pitched in to help
<BR>him, including me. He had a fine guitar. The fact that the guitar has a
<BR>fret board which serves as a grid for ET is obvious. I however theorized
<BR>that you could still make a Well Tempered Tuning out of it by slightly
<BR>altering the pitch of the various strings.
<BR>
<BR>Now, the guitar does not have a C string. The tonality of C is usually the
<BR>center and starting point of all usable HT's. There is one HT however which
<BR>can easily be tuned from A and still get the proper C tonality, the Vallotti.
<BR> It is a very easy HT for ET tuners to understand: All 5ths (or 4ths)
<BR>between two black keys or a black and a white key are pure, the rest of the
<BR>4ths & 5ths between the white keys are tempered exactly twice as much as in
<BR>ET.
<BR>
<BR>I could see how I could temper the strings of the guitar, E-A-D-G-B-E exactly
<BR>the way I would on the piano, twice as much as in ET. I reasoned that the
<BR>frets then would provide the in between notes exactly the same as they would
<BR>be found in a completely worked out scale. It apparently worked.
<BR>
<BR>I showed the orchestra conductor the results. G Major for "Little Bird,
<BR>Little Bird", as sweet as candy. Then I showed him the difference between
<BR>the serenity of A minor and the dark, disturbing sound of Bb and Ab minor.
<BR>Both keys are found in the score. The conductor was impressed and I had the
<BR>guitarist tune each of his strings to the program I made for him in my SAT
<BR>each time before he went on. He ended up having a nice, on-pitch,
<BR>professional sound.
<BR>
<BR>But what I have shown you is about the one and only thing that you can do
<BR>besides tuning in strict ET. That is the limitation of the guitar. You
<BR>cannot do any and all other kinds of temperament schemes. On another
<BR>occasion, I saw a guitarist who, to my surprise, seemed to know how to do the
<BR>very same thing I had experimented with. The guitarist at the event was
<BR>named Kevin Gallagher. I hear he is from New York.
<BR>
<BR>It was obvious to me that he knew many different ways in which he could
<BR>manipulate the tuning of his guitar. He also used some nonstandard tunings
<BR>where he lowered the lowest two strings to make them play entirely different
<BR>notes. He was adept at pulling on the string to stretch it out and stabilize
<BR>it after having changed the pitch radically. The audience and other
<BR>musicians waited patiently for him each time he retuned. I have never seen a
<BR>guitarist tune so meticulously and in such a variety of ways."
<BR>
<BR>
<BR>Chart for Well-Tempering the Guitar in either the 18th Century (Vallotti
<BR>style) or the late 19th Century Victorian style.
<BR>
<BR>*All values are read on octave 4* (very important)
<BR>
<BR>18thC Victorian
<BR>E2: -4.0 -2.0
<BR>
<BR>A2: 0.0 0.0
<BR>
<BR>D3: 2.0 1.0
<BR>
<BR>G3: 4.0 2.0
<BR>
<BR>B3: -2.0 -1.0
<BR>
<BR>E4: 0.0 0.0
<BR>
<BR>
<BR>Bill Bremmer RPT
<BR>Madison, Wisconsin
<BR></FONT></HTML>