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more on the mesolabium (was: arithmetic divisions for 2/7-comma ...)

🔗monz <monz@attglobal.net>

3/9/2003 11:13:28 AM

> From: "monz" <monz@attglobal.net>
> To: <tuning@yahoogroups.com>
> Sent: Sunday, March 09, 2003 10:54 AM
> Subject: Re: [tuning] arithmetic divisions for 2/7-comma meantone?
> (Zarlino 1558)
>

>
> oops.
>
> <snip>
>
> no. my bad.
>
> in cap. 43 of part 2 of _le institutione harmoniche_
> Zarlino refers to cap. 25 for his description of how
> to divide an interval logarithmically equally by
> means of the mesolabium, a device which geometrically
> measures divisions of a string-length.

here's a great page about the "dupication of a cube"
problem, for which the mesolabium was invented:

http://www.cs.mcgill.ca/~cs507/projects/1998/zafiroff/

-monz