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Vince-
Wow! Easy to calculate. (I thought it was one of those progressions to =
the infinitesimal formulas.)
This gets exactly to the unanswered question when setting front weights, =
i.e. one in front or two in the back? etc.
In fact it should be fairly easy to make a reference chart in, say half =
inch increments.
I'm rebuilding an action after Xmas, and I just might knock out the old =
weights, plug the holes and go for broke.
Thanks very much! This is a real Xmas present!
Ed Sutton
----- Original Message -----=20
From: madelyn mrykalo=20
To: College and University Technicians=20
Sent: Friday, December 19, 2003 8:47 AM
Subject: Re: Touch weight
Ed-
We measured the weight in grams of a lead for the mass (m). I.e. 14.1 =
grams for a 1/2 inch lead is usual, then for r we measured the distance =
of the lead from the middle of the balance hole to the middle of the =
lead in inches. So I=3D14.1X4" would be for one lead (I just picked a =
figure 4" for the distance). Then if there is another lead, do the same =
for it, adding it to the first lead. So I=3D14.1X4" + 14.1X2" (if the =
second lead is 2" from balance) and so on. This gets some figure that =
sort of arbitrarily represents the moment of inertia, larger in the =
bass, and graduating to smaller as we go up into the treble. I think =
with some research the moment of inertia figure can come to mean =
something to us. Empirically finding out what kind of figures pianists =
like would help set a general standard, I think.
It seems to me right now if you can get those figures to graduate =
smoothly you can really even out the feel. Another question arises as =
to should we smooth out those figures between the sharps and naturals or =
let the sharps have a "lighter" number as they naturally do, because of =
their shorter length.
Ed Sutton <ed440@mindspring.com> wrote:
Vince-
Never having learned calculus, I don't know how to work a formula =
like this.
Assuming that I have
-Strikeweight continuity within Stanwood's suggested range
-Frontweight continuity within Stanwood's ceiling
-Even and acceptable DW & UW
How can I use this formula to improve action performance?
Thanks!
Ed Sutton
----- Original Message -----=20
From: madelyn mrykalo=20
To: College and University Technicians=20
Sent: Friday, December 19, 2003 12:56 AM
Subject: Re: Touch weight
Hi-
Of course you can have acceptable DW's & UW's and at the same time =
have a wide range of moments of inertia, some which may be acceptable =
and some which may not be. Or the front weights could be too high. =
That's why I don't think UW/DW alone tells us enough about how the =
action "feels". =20
=20
Here is a formula for moment of inertia (I):
I=3D m1r12 + m2r22 + m3r32 + ... + mnrn2 =20
=20
Where m is the mass and r (radius) is the distance that the mass =
is from the balance hole of the key. The key itself has some moment of =
inertia too.
=20
So the action in question (Wim's D) might weigh off acceptably (DW =
and UW), but also may have a too heavy a front weight, and/or moment of =
inertia.
=20
Stanwood has come up with a good standard of front weights. =
Moment of inertia standards are a little more ambiguous at this point. =
More importantly is that the moments be reasonably smooth from key to =
key.
Vince Mrykalo
University of Utah
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