Key MOI and FW data

[Richard Brekne]

Nice stuff Mark. I would think a few hundred such samples would be a
good basis for a real meaningful data base from which to start drawing
conclusions.

How do you explain the FW's being higher values then MOI in the bass,
and then lower for the rest of the piano ?

Cheers
RicB

Mark Davidson wrote:
> 
> Here are data for moment of inertia (in kg cm^2) and FW (in g) from a 1999
> S&S "L" (factory lead).  Probably at most 3 digits of the MOI are of value.
> These data are taken by direct measurement of MOI, not by estimating,
> calculating, etc.
> 
> Also here is a graph of the MOIs:
> 
> http://home.mindspring.com/~mark.davidson/image001.gif
> 
> You can see that black key MOIs are, in general, less than those for white
> keys.
> 
> So I adjusted by multiplying the black MOIs by a constant so that black and
> white MOIs have the same average.  This lets us see the variation a bit
> better.  Here is that plotted with FWs (same scale - different units).  The
> correlation is clear - if not 100%.
> 
> http://home.mindspring.com/~mark.davidson/image002.gif
> 
> -Mark
> 
> Note MOI                 FW
> 1       29.16997558   27.3
> 2       23.61848338   33.8
> 3       31.61916331   35.3
> 4       31.44106266   36.1
> 5       23.77374439   33.6
> 6       31.79774992   34.7
> 7       23.77374439   34.0
> 8       31.44106266   36.6
> 9       31.08631919   36.2
> 10     22.09260054   28.0
> 11     29.51402814   30.9
> 12     23.00229884   33.7
> 13     29.16997558   32.3
> 14     23.46370832   34.2
> 15     29.68678335   33.5
> 16     33.24393696   34.5
> 17     23.15561605   34.6
> 18     31.08631919   36.1
> 19     24.24244311   33.8
> 20     32.15638098   37.9
> 21     31.61916331   33.5
> 22     24.08572425   33.9
> 23     30.55784863   32.0
> 24     23.46370832   33.0
> 25     31.44106266   34.2
> 26     23.92949134   32.2
> 27     31.44106266   28.3
> 28     31.61916331   29.4
> 29     22.69712228   25.6
> 30     30.03375161   27.9
> 31     23.00229884   26.7
> 32     29.51402814   24.5
> 33     26.32400971   22.5
> 34     21.94268498   23.9
> 35     28.48770185   23.2
> 36     21.94268498   24.5
> 37     31.08631919   27.3
> 38     23.92949134   26.0
> 39     31.44106266   26.2
> 40     31.79774992   31.1
> 41     23.00229884   27.6
> 42     30.90967639   31.2
> 43     23.46370832   31.2
> 44     31.08631919   32.2
> 45     27.64579357   29.3
> 46     22.69712228   27.6
> 47     27.81320332   24.8
> 48     21.64431172   25.1
> 49     28.82786681   25.2
> 50     22.69712228   24.9
> 51     31.08631919   28.7
> 52     30.03375161   26.1
> 53     23.46370832   27.5
> 54     30.03375161   25.2
> 55     21.79325537   24.2
> 56     29.68678335   27.3
> 57     29.16997558   23.9
> 58     20.76085471   20.2
> 59     29.16997558   24.0
> 60     22.24300205   23.9
> 61     29.51402814   26.1
> 62     21.94268498   24.8
> 63     28.99867822   24.7
> 64     26.32400971   23.7
> 65     20.18160237   20.0
> 66     25.03332665   18.8
> 67     18.35272975   15.2
> 68    26.32400971    17.5
> 69     25.35308171   17.6
> 70     18.76748803   16.9
> 71     25.03332665   17.1
> 72     17.1346962     11.0
> 73     24.55733868   16.8
> 74     18.76748803   15.7
> 75     24.39964792   16.4
> 76     23.30941921   12.4
> 77     17.40196867   11.1
> 78     23.46370832   13.9
> 79     17.40196867   11.4
> 80     20.90688267   9.9
> 81     20.18160237   7.6
> 82     14.94136112   6.7
> 83     20.18160237   7.7
> 84     14.81671495   6.1
> 85     20.6153127     6.4
> 86     14.94136112   6.6
> 87     20.76085471   6.3
> 88     22.39388951   6.5
> 
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