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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