Re: [tuning-math] catching up (was: Digest Number 125)

Wow... this post lets me know that there's a lot of stuff
happening on this list which I would find exciting, but
I've missed out on it while traveling.

Is there any sort of coherent index to this, so that I can
catch up fairly easily? Can someone post a list of posts?
Thanks.

-monz

----- Original Message -----
From: jon wild <wild@fas.harvard.edu>
To: <tuning-math@yahoogroups.com>
Sent: Sunday, September 30, 2001 12:39 PM
Subject: Re: [tuning-math] Digest Number 125

>
> Thanks to Gene and Graham for your explanations, and Paul for your offer
> (I emailed you back). I'm still catching up, and I tried to come up with
> an example to start working through for myself. Let's say I wanted a scale
> where four times 13:1 was once 7:1, that is I want the "comma" 13^4 /
> 7*2^12, or 28561/28672, to vanish. And I further want two 13s to be three
> 7s, that is I want the comma 338/343 to disappear. So I get the following
> matrix:
>
> [4 -1]
> [2 -3]
>
> whose determinant is 10, so I'm looking at a periodicity block of 10
> notes. And indeed 10-tet has good approximations of 13:8 and 7:4--7/10ths
> and 8/10ths of an octave respectively--and the congruences in the matrix
> are true, 4* 7/10 == 8/10 and 2* 7/10 == 3*8/10.
>
> If I understand correctly I can choose from many possible 10-note subsets
> of the Z^2 lattice to construct my just scale, as long as I don't pick any
> pairs of notes separated by my unison vectors (4, -1) or (2, -3). But this
> can still lead to different just scales, so I imagine I can't say that the
> commas 28561/28672 and 338/343 "define" whichever region of the lattice I
> choose as my just scale.
>
> Right so far? --Jon

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--- In tuning-math@y..., "monz" <joemonz@y...> wrote:

> Is there any sort of coherent index to this, so that I can
> catch up fairly easily? Can someone post a list of posts?
> Thanks.

So far as my contrutions go, I plan on cleaning them up and putting
up a web page.

----- Original Message -----
From: <genewardsmith@juno.com>
To: <tuning-math@yahoogroups.com>
Sent: Sunday, September 30, 2001 5:54 PM
Subject: [tuning-math] Re: catching up (was: Digest Number 125)

> --- In tuning-math@y..., "monz" <joemonz@y...> wrote:
>
> > Is there any sort of coherent index to this, so that I can
> > catch up fairly easily? Can someone post a list of posts?
> > Thanks.
>
> So far as my contrutions go, I plan on cleaning them up and putting
> up a web page.

Excellent. Thanks.

-monz

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