---------------------- multipart/alternative attachment List, Ron Koval caught the following error in what I wrote yesterday. I thank him for his attention and interest. Unfortunately a simple error like this is easy to make when writing and it can cause lots of confusion. Thanks, Ron. Bill Bremmer RPT Madison, Wisconsin In a message dated 5/11/01 8:34:52 AM Central Daylight Time, drwoodwind@hotmail.com writes: > Hi Bill, > > Thanks for working on this and posting the recipe. I was zooming through > it > and I think there is a typo. When you get to the point of tuning G#3, I > think you meant to reference C#4, instead of D#4. (see below) > > good work > > Ron Koval > (graphman) > > > > > Date: Thu, 10 May 2001 13:54:56 EDT > From: Billbrpt@AOL.COM > Subject: Re: HT > > > <<The most important steps in the EBVT are the first ones. F3-A3, 6 beats. > Now tune F3-C4 pure. Now copy the 6 beats exactly to make C4-E4 beat at 6 > beats. Now make the G3-E4 6th beat a 6 beats. This will make a G3-C4 > tempered 4th. If this 4th is way too fast, then sharpen G3 until it sounds > a little better but not as much as you want, then flatten C4 until the > G3-C4 > is tolerable. This will make the C4-E4 3rd faster. To even out your > corrections, flatten E4 just slightly to slow the beat about 1/2 as much as > you have increased it, then copy that beat to the F3-A3 3rd by flattening > F3 > just a little. Check the F3-C4 5th. It should still sound "pure" to the > ear > even if it ends up slightly wide or narrow. > > Doing all of the above will compensate for Inharmonicity. Now, the G3-B3 > 3rd can be made by copying the rate of beating established in F3-A3, C4-E4 > and G3-E4. Now tune D4 by making it beat equally between G3 and A3. Now > tune F4 a pure 4th from C4. The F3-F4 octave should sound pure. Now tune > Bb3 a pure 5th from F4. The F3-Bb3 4th should sound pure. Listen to the > resultant beat of Bb3-D4. Now tune C#4 from A3 so that it beats exactly > the > same as the Bb-D4 3rd. If this 3rd sounds too fast, you can compromise by > flattening C#4 slightly. If the Bb3-D4 3rd has ended up too fast, sharpen > the Bb3 just a bit, which will temper the F3-Bb3 4th and the Bb3-F4 5th > just > slightly. > > Now tune F#3 from C#4 a pure 5th. If the resultant F#3-A#3 3rd seems way > too fast, sharpen F#3 just slightly which will make the F#3-C#4 be tempered > just > > > > > <check this following part> > > > > slightly. ***Now tune G#3 from D#4 a pure 4th.*** ***This should have read: Now tune G#3 from C#4 a pure 4th.*** > > If the resultant Ab3-C4 3rd > beats way too fast, then sharpen Ab3 just slightly which will cause the > Ab3-C4 to be slightly narrow. This would be OK however, since the > temperament is modeled after the Modified Meantone type, in which slightly > wide 5ths and slightly narrow 4ths will occur and are acceptable. > > Now, there is only one note left to tune, D#4, which you will make beat > equally against G#3 and A#3. This usually ends up being just slightly > tempered for both intervals. Sometimes it sounds virtually pure. > > Remember that you are trying to make intervals beat within the tolerance > your > own ear has for what sounds too extreme. This is why I say that when an > interval beats "way too fast", use your musical judgment to make a > compromise > but be aware of the consequences of that compromise. This means that you > can > create an even milder form of the EBVT if you wish but the more you > compromise from the basic formula, the more you risk losing the Equal > Beating > effects and the effects of having 4 pure 5ths within the temperament. > > I hope these comments have been helpful.>> > > > Bill Bremmer RPT > Madison, Wisconsin ---------------------- multipart/alternative attachment An HTML attachment was scrubbed... URL: https://www.moypiano.com/ptg/pianotech.php/attachments/4c/e4/5b/e2/attachment.htm ---------------------- multipart/alternative attachment--
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