Forte Prime Form Quantities for Various 12EDO Subscales:

1. 2-tone: 6

2. 3-tone: 12

3. 4-tone: 29

4. 5-tone: 38

5. 6-tone: 50

6. 7-tone: 38

7. 8-tone: 29

8. 9-tone: 12

9. 10-tone: 6

Here's the URL of the best Forte pitch class set table on the web
that I know of, Larry Solomon's:

http://solomonsmusic.net/pcsets.htm

I believe that a pitch class set table for any other EDO tuning
would have to be re-calculated from scratch, but I'm not completely
sure about that.

--
Bill Flavell

On 3/9/06, Bill Flavell <bill_flavell@email.com> wrote:
[...]
> Here's the URL of the best Forte pitch class set table on the web
> that I know of, Larry Solomon's:
>
> http://solomonsmusic.net/pcsets.htm
>
> I believe that a pitch class set table for any other EDO tuning
> would have to be re-calculated from scratch, but I'm not completely
> sure about that.

This is sequence A052307 in Sloane's:
http://www.research.att.com/~njas/sequences/A052307

There's a Mathematica expression there too. Shouldn't be too hard to
write a program to spit them out; it's just combinatorics after all.

Keenan

--- In tuning@yahoogroups.com, "Keenan Pepper" <keenanpepper@...> wrote:

> This is sequence A052307 in Sloane's:
> http://www.research.att.com/~njas/sequences/A052307

Only two chords in 12-et? There's probably another sequence which is
the one I want; I wanted the number for small N so I could find it in
the Sloane table.

--- In tuning@yahoogroups.com, "Keenan Pepper" <keenanpepper@...> wrote:
>
> On 3/9/06, Bill Flavell <bill_flavell@...> wrote:
> [...]
> > Here's the URL of the best Forte pitch class set table on the web
> > that I know of, Larry Solomon's:
> >
> > http://solomonsmusic.net/pcsets.htm
> >
> > I believe that a pitch class set table for any other EDO tuning
> > would have to be re-calculated from scratch, but I'm not completely
> > sure about that.
>
> This is sequence A052307 in Sloane's:
> http://www.research.att.com/~njas/sequences/A052307

I think A000029 is what I want:

http://www.research.att.com/~njas/sequences/A000029

Using the formula, I get 224 Forte chords for 12edo, 14310 for 19edo,
34669602 for 31edo, 764884036743 for 46edo and 3.28 x 10^19 for 72edo.
> There's a Mathematica expression there too. Shouldn't be too hard to
> write a program to spit them out; it's just combinatorics after all.
>
> Keenan
>

> > Here's the URL of the best Forte pitch class set table on the web
> > that I know of, Larry Solomon's:
> >
> > http://solomonsmusic.net/pcsets.htm
> >
> > I believe that a pitch class set table for any other EDO tuning
> > would have to be re-calculated from scratch, but I'm not completely
> > sure about that.
>
> This is sequence A052307 in Sloane's:
> http://www.research.att.com/~njas/sequences/A052307
>
> There's a Mathematica expression there too. Shouldn't be too hard to
> write a program to spit them out; it's just combinatorics after all.
>
> Keenan

But, as the page atop points out, Forte's 'primes' or whatever
equate major and minor triads, and that's broken.

-Carl

Sorry, Keenan, you're way over my head here! :) I don't understand
waht you're talking about.

Bill Flavell

--- In tuning@yahoogroups.com, "Keenan Pepper" <keenanpepper@...>
wrote:
>
> On 3/9/06, Bill Flavell <bill_flavell@...> wrote:
> [...]
> > Here's the URL of the best Forte pitch class set table on the web
> > that I know of, Larry Solomon's:
> >
> > http://solomonsmusic.net/pcsets.htm
> >
> > I believe that a pitch class set table for any other EDO tuning
> > would have to be re-calculated from scratch, but I'm not
completely
> > sure about that.
>
> This is sequence A052307 in Sloane's:
> http://www.research.att.com/~njas/sequences/A052307
>
> There's a Mathematica expression there too. Shouldn't be too hard to
> write a program to spit them out; it's just combinatorics after all.
>
> Keenan
>

This is one of my favorite blogs, and this week they're doing "visionary musical instruments". let's see what they dig up:

http://kirchersociety.org/