Fw: [tuning-math] question about quadratics

I sent this a few days ago to the tuning-math list,
but so far no-one has responded. Thanks.

-monz

----- Original Message -----
From: monz <joemonz@yahoo.com>
To: <tuning-math@yahoogroups.com>
Sent: Monday, October 22, 2001 11:30 AM
Subject: [tuning-math] question about quadratics

> To all the math-geeks:
>
> It's well-established that the Babylonians had
> highly developed algebraic methods, altho they
> never actually developed an algebraic notation.
>
> There's also concrete proof that they had very good
> sexagesimal approximations to both square and cube roots.
>
> I'm investigating the possible applications some
> of these methods may have had to tuning problems,
> but my extremely math-challenged self needs some help.
>
> Can someone tell me what application quadratic equations
> may have to determining string-lengths? I'm interested
> in possible applications for the purposes of determining
> both JIs and/or temperaments.
>
>
> For a reference to a modern explanation of Babylonian
> algebra, please see the following, p 30-50:
>
> Neugebauer, Otto. 1957.
> _The Exact Sciences in Antiquity_.
> Providence, Brown University Press, 2d ed
> L.O.C.#: QA22 .N36 1957
>
>
> Thanks.
>
>
>
> [...]
>
> This may also be useful / helpful / interesting:
>
> "Pythagorean Triangles and Musical Proportions"
> by Martin Euser
> http://www.nexusjournal.com/Euser.html
>
>
>
> love / peace / harmony ...
>
> -monz
> http://www.monz.org
> "All roads lead to n^0"
>

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