These insights and the clear way they're expressed on your pages are great. , you
wouldn't like to post the expressions used to generate the graphs would you?
I guess that for a tapered bore you're taking the average aspect ratio?
Something that's niggled me for a while is the calc of tone hole position using
the expressions
in in the Hopkins/Benade booklet/papers. Flame me if I'm wrong but these seem to
take into account bore variations but only in that they affect the tonehole air
column length due to wall thickness not the
variation in bore volume. Everyone seems to approximate a tapered tube to a
straight wall.
Any tonehole pos calcs based on "average" aspect ratio for a tapered bore should
presumably take into account that the "average" aspect ratio is a function of the
tonehole under consideration. ( as are end corrections ).
Is it possible to derive expressions for tone hole placement based on bore volume(
as a func. of length) and solve these ( numerically i guess)? Anyone know if its
been done / have a reference for it ?
I know pulling these things apart isn't everyone's cup of tea ( they distract from
blowing) but I suspect there are quite a few (amateur?) physicists on the list.
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