Re: [tuning-math] A 5-limit, "geometric" temperament list

  • From: Gene W Smith <genewardsmith@xxxxxxxx>
  • To: tuning-math@xxxxxxxxxxxxx
  • Date: Tue, 23 Jul 2002 03:46:57 -0700



On Mon, 22 Jul 2002 23:51:59 -0400 Herman Miller <hmiller@xxxxxx> writes:
> I think that 135/128 (aka "pelogic") is one of the more interesting /
> useful temperaments despite its errors. Once you get beyond a 
> certain =
> level
> of complexity in the unison vector, you might as well use JI. It's 
> hard =
> to
> imagine a piece of music that wanders around the lattice enough to 
> be =
> able
> to take advantage of the (3)^35/(2)^16/(5)^17, repeated enough times 
> to
> magnify the 1 cent difference into something that would have been 
> easily
> audible. 

There are other factors at work--most obviously, the extra tonal
relationships. It seems to me you can argue it the other way--past some
point, you might as well use a temperament.

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