Tuning-Math Digests messages 10664 - 10688

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Message: 10664

Date: Sun, 21 Mar 2004 08:32:42

Subject: Re: The Mathematical Theory of Tone Systems

From: Graham Breed

Gene Ward Smith wrote:

> The book is by a Slovak mathematician named Jan Haluska, and I'm
> wondering if anyone has heard of him. I haven't, but he lists his
> fields of interest on his home page as "Measure and Integration,
> Harmonic Analysis and Uncertainty-Based Information" so that's
> probably not surprising.

Yes, he contacted me a few years ago.  He's a mathematician who was 
publishing about tuning in mathematical journals but wasn't in contact 
with musicians.  He sent me a paper which I can't find now, but I think 
it's the one that's dead-linked to from Manuel's bibliography.  As it's 
a sonic-arts URL, perhaps Monz knows something.

I do have the envelope with his address on!  I can send it privately if 
you like.  I don't want to encourage hoards of Slovakian tuning fanatics 
to converge on his residence ...


                 Graham


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Message: 10666

Date: Mon, 22 Mar 2004 18:58:27

Subject: Re: 5-limit yantra commas

From: Paul Erlich

--- In tuning-math@xxxxxxxxxxx.xxxx "Gene Ward Smith" <gwsmith@s...> 
wrote:
> --- In tuning-math@xxxxxxxxxxx.xxxx "Gene Ward Smith" <gwsmith@s...>
> wrote:
> 
> If we take the consecutive commas in pairs as we did for the 7-
limit,
> we get equal temperaments; they go 
> 1, 1, 3, 3, 7, 12, 34, 53, 118, 441, 612, 612...

This is the same set of equal temperaments found here,

S235 *

which is referred to from here:

Searching Small Intervals *

If you don't understand why this is so, it's time for you to 
reconsider Kees's work . . . ;)


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Message: 10668

Date: Mon, 22 Mar 2004 19:05:14

Subject: Re: The Mathematical Theory of Tone Systems

From: Paul Erlich

--- In tuning-math@xxxxxxxxxxx.xxxx "Gene Ward Smith" <gwsmith@s...> 
wrote:
> I got a brochure from Marcel Dekker, and this is the title of one of
> their new releases. I requested it by interlibrary loan, but if you
> want to buy a copy it is priced at the usual incredibly cheap Marcel
> Dekker price, in this case $165 for 302 pages, or 55 cents a page.
> 
> The book is by a Slovak mathematician named Jan Haluska, and I'm
> wondering if anyone has heard of him. I haven't,

Monz had an article by him up, which could be gotten by clicking on 
the appropriate link here:

Research on the work of other composers and theorists,  (c) 1999 by Joe Monzo *

. . . but the article appears to be offline right now. I don't 
remember anything terribly interesting or novel in that article.


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Message: 10671

Date: Mon, 22 Mar 2004 19:39:47

Subject: Re: 5-limit yantra commas

From: Paul Erlich

--- In tuning-math@xxxxxxxxxxx.xxxx "Gene Ward Smith" <gwsmith@s...> 
wrote:
> --- In tuning-math@xxxxxxxxxxx.xxxx "Paul Erlich" <perlich@a...> 
wrote:
> > --- In tuning-math@xxxxxxxxxxx.xxxx "Gene Ward Smith" 
<gwsmith@s...> 
> > wrote:
> > > --- In tuning-math@xxxxxxxxxxx.xxxx "Gene Ward Smith" 
<gwsmith@s...>
> > > wrote:
> > > 
> > > If we take the consecutive commas in pairs as we did for the 7-
> > limit,
> > > we get equal temperaments; they go 
> > > 1, 1, 3, 3, 7, 12, 34, 53, 118, 441, 612, 612...
> > 
> > This is the same set of equal temperaments found here,
> > 
> > S235 *
> > 
> > which is referred to from here:
> > 
> > Searching Small Intervals *
> > 
> > If you don't understand why this is so, it's time for you to 
> > reconsider Kees's work . . . ;)
> 
> Yantras are naturally weighted by log(p), so it isn't surprising to
> find some connection. Are you saying the two will always lead to
> exactly identical results?

Yes.


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