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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
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 . . . ;)
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.
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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