Going to the limit

Robert asked me about transforming 7-limit harmonies into the 11-
limit, and I should mention that not all interesting transformations
are invertible. One of my favs sends each prime to the next one, so
that 2->3, 3->5, 5->7, 7->11 and etc. If you want to keep octaves,
you could try 2->3, 3->4, 5->7, 7->10, etc. In fact with a remapping
program you could try anything.

--- In tuning@y..., genewardsmith@j... wrote:
> Robert asked me about transforming 7-limit harmonies into the 11-
> limit, and I should mention that not all interesting
transformations
> are invertible. One of my favs sends each prime to the next one, so
> that 2->3, 3->5, 5->7, 7->11 and etc.

If you want to hear the result of 2->5, 3->7, 5->9, check out Herman
Miller's BP retuning of the Pachelbel Canon.

I'd be really, really curious to hear a

2->3, 3->5, 5->7

BP version, Herman!

> If you want to keep octaves,
> you could try 2->3, 3->4, 5->7, 7->10, etc.

If want to _really_ keep octaves, you could try

2->2 3->x 5->y

Herman has quite a few of these on his Warped Canon page.

On Tue, 11 Sep 2001 06:13:28 -0000, "Paul Erlich" <paul@stretch-music.com>
wrote:

>--- In tuning@y..., genewardsmith@j... wrote:
>> Robert asked me about transforming 7-limit harmonies into the 11-
>> limit, and I should mention that not all interesting
>transformations
>> are invertible. One of my favs sends each prime to the next one, so
>> that 2->3, 3->5, 5->7, 7->11 and etc.
>
>If you want to hear the result of 2->5, 3->7, 5->9, check out Herman
>Miller's BP retuning of the Pachelbel Canon.
>
>I'd be really, really curious to hear a
>
>2->3, 3->5, 5->7
>
>BP version, Herman!

You mean 4:5:6 -> 9:7:15 ? It wouldn't strictly speaking be BP, since it
goes beyond the original 13-note subset of the lattice, but it's an
interesting suggestion.

http://www.io.com/~hmiller/midi/canon-9-7-15.mid

--
see my music page ---> ---<http://www.io.com/~hmiller/music/index.html>--
hmiller (Herman Miller) "If all Printers were determin'd not to print any
@io.com email password: thing till they were sure it would offend no body,
\ "Subject: teamouse" / there would be very little printed." -Ben Franklin

--- In tuning@y..., Herman Miller <hmiller@I...>
wrote:
> On Tue, 11 Sep 2001 06:13:28 -0000, "Paul Erlich" <paul@s...>
> wrote:
>
> >--- In tuning@y..., genewardsmith@j... wrote:
> >> Robert asked me about transforming 7-limit harmonies into the 11-
> >> limit, and I should mention that not all interesting
> >transformations
> >> are invertible. One of my favs sends each prime to the next one, so
> >> that 2->3, 3->5, 5->7, 7->11 and etc.
> >
> >If you want to hear the result of 2->5, 3->7, 5->9, check out Herman
> >Miller's BP retuning of the Pachelbel Canon.
> >
> >I'd be really, really curious to hear a
> >
> >2->3, 3->5, 5->7
> >
> >BP version, Herman!
>
> You mean 4:5:6 -> 9:7:15 ?

Oops -- I meant 4:5:6 -> 3:5:7. But I suppose
that would expand the range unreasonably.

--- In tuning@y..., Herman Miller <hmiller@I...> wrote:

/tuning/topicId_28032.html#28220

> >
> >If you want to hear the result of 2->5, 3->7, 5->9, check out
Herman Miller's BP retuning of the Pachelbel Canon.
> >
> >I'd be really, really curious to hear a
> >
> >2->3, 3->5, 5->7
> >
> >BP version, Herman!
>
> You mean 4:5:6 -> 9:7:15 ? It wouldn't strictly speaking be BP,
since it goes beyond the original 13-note subset of the lattice, but
it's an interesting suggestion.
>
> http://www.io.com/~hmiller/midi/canon-9-7-15.mid
>

Well, this is certainly "peculiar..." I can't get the sense of the
original "Taco Bell" at all in this, although I do get a sense of a
repeating ground....

________ _______ _______
Joseph Pehrson

A year ago I added files to this effect to the group.
/tuning/topicId_13622.html#13622
/tuning/files/kees/

Kees

> > >I'd be really, really curious to hear a
> > >
> > >2->3, 3->5, 5->7
> > >