Bosanquet and 22

This message is in MIME format. Since your mail reader does not understand
this format, some or all of this message may not be legible.

------ =_NextPart_000_01BDA38E.89736DAE
Content-Type: text/plain

Carl Lumma wrote,

>I wouldn't say that Bosanquet studied 22 "extensively" . . . His work
with 22 was towards the end of his music >theory investigations

Actually, Bosanquet's extensive studies of 22 were toward the beginning
of his music theory investigtions; I don't have McLaren's article handy,
but I'm pretty sure about that much. I'll post the references (if no one
beats me to it) when I get a chance, as it sounds like they'll be new to
you.

------ =_NextPart_000_01BDA38E.89736DAE
Content-Type: application/ms-tnef
Content-Transfer-Encoding: base64
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------ =_NextPart_000_01BDA38E.89736DAE--

> >That's the ol' Helmholzian "place" theory. There have been more
> >recent studies that suggest that lower frequencies are perceived very
> >differently from higher ones.
> Are you holding back on me?

Yes indeedie. I don't claim to be enough of an authority on the
topic to address it in any more detail than that.

On Mon, 29 Jun 1998, Carl Lumma wrote:
> So it's the width at various points? How do you respond to the assertion
> made by Ewan Macpherson that it's the stiffness at various points?
>
[snip]
>
> So it's the stiffness at various points? How do you react to the statement
> made by Jesse Gay that it's the width at various point?

Carl, why do you seem to want to treat this as an either/or?
Mechanically, increasing the cross-sectional area of a member increases
its stiffness (those of you with dirty minds, keep it to yourselves
8-)> ), so it seems to me your two respondents are at least roughly in
agreement with each other.

--pH http://library.wustl.edu/~manynote
O
/\ "Churchill? Can he run a hundred balls?"
-\-\-- o
NOTE: dehyphenate node to remove spamblock. <*>

------------------------------

End of TUNING Digest 1462
*************************