Bill, Thanks for your reply. One difference, in relation to using a 'C' as opposed to 'A' fork, that keeps me from persuing the 'A' fork as a starting place... The speed of the 3rds. Yes, I am used to the slower 3rd. with the 'C' temperment. The 'A' fork folks start a big Mj. 6th. above where I start. (Setting the C-3 to C-4 octave width, with the 3 rd. 10 th. test) Anyone else? Dan Reed Dallas Chapter on 3/5/01 9:38 AM, Billbrpt@AOL.COM at Billbrpt@AOL.COM wrote: > In a message dated 3/5/01 7:48:00 AM Central Standard Time, > thepianoarts@home.com (thepianoarts) writes: > > << Any "C" fork users care to exchange temperment checks and patterns etc? I > have been trying to evolve the 'Up three thirds, down a fifth, up two > thirds" etc. temperment taught from the Aubrey Willis course 25 years ago. > Anyone on the list using this pattern? BTW, after 25 years with the fork, I > moved to the Sanderson Accu-fork. It has some advantages. Their beat-rater > is also a nice tool for checking contigious thirds. >>> > As Tom Cole did, I also learned from Bill Garlick RPT that it really > shouldn't matter which starting note you use to tune Equal Temperament (ET). > Since all intervals are tuned *equally* you may use virtually any note to > start. The late John Travis suggested in his book, "Let's Tune Up" that you > could get your temperament to be "more equal" (sic) if you started on a black > key such as F# or C#. > > I often hear technicians talk about "different temperaments" when they are > really only talking about one: ET. What they are really talking about are > different temperament *sequences*, that is, the order in which the > temperament octave is constructed. This is often called "the Bearing Plan". > > The sequence you mention, "up a 3rd, up a 3rd, down a 5th" was conceived by > Oliver Faust and is one of the better ideas. What is most important, > however, is the diagnostic check afforded by the contiguous 3rds. In order > to tune a really good ET, you have to make lots of good *estimates* first, > then verify and correct your intervals using the contiguous 3rds (the > well-known 4:5 ratio) and other interval tests. You can use Faust's idea > starting with virtually any note, not just C or A. > > There really is no one temperament sequence which is fool proof. > Inharmonicity and irregular scale designs will also force some kind of > distortion of the way the temperament may be expected to sound. This is why > the study of other kinds of temperaments than ET is important. In the end, > you'll want your piano to give the most pleasing harmony possible. If you > know that getting the temperament to be truly equal is not quite possible, at > least in the way it is usually expected to come out, you'll want to know what > is best to do to make a compromise. > > Even with the best pianos using the best temperament sequence, you can expect > that after tuning your first 13 notes, C3-C4, F3-F4, A3-A4 or any others, you > will have to make slight corrections to get true equality by using the > contiguous 3rds and other interval tests. > > Many technicians seem to believe that making the 5ths be as pure as possible > while ignoring the resultant irregularity of the 3rds would make the piano > sound best. Actually, quite the opposite is true. The 3rd, 4th and 5th > octaves of the piano is where all of the *harmony* occurs. Widening 5ths > (making them be closer to pure) and/or the octaves will cause all Rapidly > Beating Intervals (RBI), the 3rds, 6ths, 10ths and 17ths to beat faster. > > When choosing to compromise intervals in the low tenor, the bottom of the 3rd > octave, it would be far better to make the octave less stretched and the 5ths > sounding more tempered. When a full chord is played, the tempering in the > 5th virtually disappears. It is very rare in a true musical context to have > an open 5th with no 3rd. Thus, the slightly impure sound of a tempered 5th > which sounds dissatisfying to the technician who plays it outside of a > musical context when tuning, ceases to be of any concern when actual music is > played. > > You can still get a true ET where contiguous 3rds and other interval checks > are *proportionately* correct even on the "poorest", most irregularly scaled > pianos. Yes, this means that you really can tune an Acrosonic, Kimball, > Wurlitzer spinet, etc., in ET and make it sound sweet and pleasant if you > really understand your interval checks and how to make compromises. A > skilled technician who knows other kinds of temperaments can actually make > these instruments have a sweet sound and largely avoid the kind of harshness > that many people fear from the use of Historical Temperaments (HT). > > Bill Bremmer RPT > Madison, Wisconsin
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