Thanks, Mark.
Yes, Eric Meier took his data from the USDA tables and sources. I don't have the book but I have very frequently used the online equivalent (and several other books on wood science) in my research on historical woodwind instruments, including how they change with age and drying.
The problem is that there are several definitions and loose usages.
General definitions (see e.g. wikipedia)
"Specific gravity is the ratio of the density of a substance to the density of a reference substance; equivalently, it is the ratio of the mass of a substance to the mass of a reference substance for the same given volume. Apparent specific gravity is the ratio of the weight of a volume of the substance to the weight of an equal volume of the reference substance. The reference substance is nearly always water at its densest (4°C) for liquids; for gases it is air at room temperature (21°C). "
Density is always defined as mass/volume for a given actual piece of material.
Since the density of water is very nearly 1 g/cc, the s.g. referenced to water is virtually the same as the density in c.g.s units. (The tiny difference is because of the way that the length and mass units are defined). In SI units of course the density is 1000 kg/ cubic metre but the s.g. is still 1.
Both density and specific gravity of a particular piece of wood depend on its water content.
For purposes of comparison between woods, we have come up with a couple of definitions that do not depend on water content.
One is the one quoted by Eric Meier, as "basic specific gravity", being the ratio of completely dry weight to completely wet volume. This has the disadvantage that it is a constructed parameter which cannot exist in any piece of wood.
The other is the one you quote, the "wood specific gravity", which is the oven-dry density. While this can be achieved obviously by oven-drying, it is not a condition in which we use wood.
The equation that you cite is yet another usage, the "specific gravity of wood core". It does not equate to the dry weight, since it is a dimensionless equation (no units, just ratios). It is comparing the average dry specific gravity to the specific gravity of the "wood substances" (that's lignin, cellulose, extractives such as resins etc) to find out something about the structural compactness of the wood.
It may well be the oven-dry specific gravity that should be used in the calibration tables. But I haven't seen the manuals so I don't know that.
And no, I am not confusing the definitions of the terms weight, density and moisture content
.
cheers, Keith