Longitudinal scaling

[Richard Brekne]

Hmmm... an interesting clue as to why "The Steinway Scale" which seems to be the
subject of so many opinions as to how to design a <<bad musical scale>>. Also an
interesting post with regard to some of the discussions on both the duplex
scale, and whether or not the soundboard vibrates at all longitudinally or
not... Grin.. you shoulda been here a couple years back Bernhard !

Cheers
RicB

Bernhard Stopper wrote:

> Joe,
>
> perhaps i can convince you for believing in importance of longitudinal
> matching
> that all steinway grands have in the bass scale the longitudinal matched
> relative exactly to 15. transversal mode.
> and they found this probably by try and hear 100 years ago....
>
> but yes, if ONLY for longitudinal matching is scaled, that says nothing
>
> for example string of E key of a B-211, 1025 mm long, has originally 0.95 mm
> core wire and 0.55 mm wound wire,
> resulting to a longitudinal match of 15/1. this key sounds good, i think you
> agree with that.
>
> but you can get a 15/1 match also with a core wire of 1.3 and wound wire of
> 0.75, but in that case
> the string has the double tension and double inharmonicity. and that sounds
> so baaad. (what you can make hear with the MiniMens Simulator, instead of
> producing a real string.....) so i never said that only a longitudinal match
> will produce a good sound, but considering it with all other measures, that
> ca refine the sound.
>
> the only reason why steinway invented his duplex scale was that to transform
> inharmonic longitudinal puls energy through the angle at the ends into
> harmonic transversal waves. read the old steinway patents, there is no
> mystery about that.
>
> regards,
>
> ----- Original Message -----
> From: "Joseph Garrett" <joegarrett@earthlink.net>
> To: <pianotech@ptg.org>
> Sent: Monday, December 15, 2003 2:55 AM
> Subject: Longitudinal scaling
>
> > Bernhard said: ".....you are right that it is not enough to scale only for
> > longitudinal matching.
> > but one of the things that can go wrong with a bad string is a sharp
> > longitudinal wave. a successful string design includes loudness AND
> > inharmonicity AND longitudinal wave matching....."
> >
> > The few examples, that I have seen, where Longitudinal matching was used
> in
> > the calculation of a scale, were dismal, to say the least. I truly hate to
> > be a naysayer, but you're going to have to prove it to me first.
> > If you can do that, then I'll jump on your bandwagon.
> > One question, can this "modeling" be used in conjunction with other
> > programs?
> > Regards,
> > Joe Garrett, RPT, (Oregon)
> > Captain, Tool Police
> > Squares Are I
> >
> >
> > _______________________________________________
> > pianotech list info: https://www.moypiano.com/resources/#archives
>
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--
Richard Brekne
RPT, N.P.T.F.
UiB, Bergen, Norway
mailto:rbrekne@broadpark.no
http://home.broadpark.no/~rbrekne/ricmain.html
http://www.hf.uib.no/grieg/personer/cv_RB.html