paper of paul

Dear paul

Where can I see ur paper?

shaahin

________________________________

From: wallyesterpaulrus [mailto:wallyesterpaulrus@yahoo.com]
Sent: Wednesday, February 23, 2005 11:18 PM
To: tuning@yahoogroups.com
Subject: [tuning] Re: Kleismic Yarman Temperament

Hi Ozan,

I can't see the sense of this temperament. It doesn't appear to be a
micro-temperament, or really a temperament at all. What practical
purpose does it serve? A chain of fifths would typically be tempered
so that some number of fifths approximates some higher-limit
consonant interval. Therefore, the 'comma' being tempered out would
not have repeated prime factors higher than 3. Examples of 'commas'
tempered out in the context of chain-of-fifths temperaments include

The syntonic comma, 81:80 or [-4 4 -1>; tempering it out makes four
perfect fifths up octave-equivalent to a pure major third up. If you
want pure major thirds and octaves, temper the fifths narrow by 1/4
of the syntonic comma.

The schisma, 32805:32768 or [-15 8 1>; tempering it out makes eight
perfect fifths up octave-equivalent to a pure major third down. If
you want pure major thirds and octaves, temper the fifths narrow by
1/8 of the schisma.

The Pythagorean comma, 531441:524288 or [-19 12>; tempering it out
makes twelve perfect fifths up octave-equivalent to a unison. If you
want pure octaves, temper the fifths narrow by 1/12 of the
Pythagorean comma (i.e., 12-tone equal temperament).

The septimal comma, 64:63 or [6 -2 0 -1>; tempering it out makes two
perfect fifths up octave-equivalent to a harmonic seventh down. If
you want pure harmonic sevenths and octaves, temper the fifths wide
by 1/2 of the septimal comma.

And so on. But the "Yarman Kleisma", 4000:3993 or [5 -1 3 0 -3>, has
3 factors of 5 and (negative) 3 factors of 11, so it doesn't
correspond to an interval that you would temper out in, or whose
temperament would lead to, a chain-of-fifths scale or tuning.
However, on the tuning-math list, other temperaments which do exploit
this 'comma' have indeed been discussed.

The paper I recently sent you has more on various scales and
temperaments, some of which are single chains of fifths, some of
which are multiple chains of fifths, and some of which aren't based
on chains of fifths at all. It all comes down to which commas are
tempered out. Re-read it again when you have a chance and feel free
to contact me with any questions/comments/criticisms.

Best,
Paul

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--- In tuning@yahoogroups.com, "Mohajeri Shahin" <shahinm@k...> wrote:

> Dear paul
>
> Where can I see ur paper?
>
>
>
> shaahin

Send me an e-mail with your snail-mail address, and I will mail it to
you -- regardless of geographical location. This goes for everyone!
Please don't worry about the cost.

--- In tuning@yahoogroups.com, "wallyesterpaulrus"
<wallyesterpaulrus@y...> wrote:
>
> --- In tuning@yahoogroups.com, "Mohajeri Shahin" <shahinm@k...>
wrote:
>
> > Dear paul
> >
> > Where can I see ur paper?
> >
> >
> >
> > shaahin
>
> Send me an e-mail with your snail-mail address, and I will mail it
to
> you -- regardless of geographical location. This goes for everyone!
> Please don't worry about the cost.

Paul, at some point it is just going to become more cost
effective to put it on the web (even if you wrote it long hand
and have to pay some kid to type it up or photograph it with
a digital camera ). Not to mention the savings in time for
trips to the Post OFfice, etc... And, far more people will see
it that way...

--Jeff

--- In tuning@yahoogroups.com, "jjensen142000" <jjensen14@h...> wrote:
>
> --- In tuning@yahoogroups.com, "wallyesterpaulrus"
> <wallyesterpaulrus@y...> wrote:
> >
> > --- In tuning@yahoogroups.com, "Mohajeri Shahin" <shahinm@k...>
> wrote:
> >
> > > Dear paul
> > >
> > > Where can I see ur paper?
> > >
> > >
> > >
> > > shaahin
> >
> > Send me an e-mail with your snail-mail address, and I will mail
it
> to
> > you -- regardless of geographical location. This goes for
everyone!
> > Please don't worry about the cost.
>
> Paul, at some point it is just going to become more cost
> effective to put it on the web (even if you wrote it long hand
> and have to pay some kid to type it up or photograph it with
> a digital camera ). Not to mention the savings in time for
> trips to the Post OFfice, etc... And, far more people will see
> it that way...
>
> --Jeff

Thanks Jeff. Carl Lumma told me that when he gets a chance, he'll
scan it, convert it to .pdf, and put it up on his website alongside
my other papers. Until then, I'm completely happy with the cost of
sending out physical copies.