Question about Warped Canon page

Greetings,

Please forgive me, but are any of these 'well-temperaments' in
the Bach-debate sense?

http://www.io.com/~hmiller/music/warped-canon.html

All best wishes,

Gordon Rumson

rumsong wrote:
> Greetings,
> > Please forgive me, but are any of these 'well-temperaments' in > the Bach-debate sense?
> > http://www.io.com/~hmiller/music/warped-canon.html

Pachelbel's Canon isn't very good for comparing well-temperaments, for the same reason that I settled on using it for comparing these other sorts of scales and tunings. It has a very simple harmonic progression which doesn't stray very far from the tonic of D major. Many of the important differences between well-temperaments only show up in remote keys. I've thought about including a separate page of well-tempered versions of the canon for comparison, with additional versions in Db major and Eb major. I just keep forgetting to do it. :-)

> Pachelbel's Canon isn't very good for comparing
well-temperaments, for
> the same reason that I settled on using it for comparing these
other
> sorts of scales and tunings. It has a very simple harmonic
progression
> which doesn't stray very far from the tonic of D major. Many of
the
> important differences between well-temperaments only show
up in remote
> keys.

Greetings,

Many thanks for the clarification. I had thought I was just missing
something...which is easy for my muddled brain.

I understand the reason for not using the Canon for
well-temperaments. Makes all the sense.

Many thanks! An excellent resource, the Warped Canon page
is!!!

All best wishes,

Gordon Rumson

rumsong wrote:

> Greetings,
> > Many thanks for the clarification. I had thought I was just missing > something...which is easy for my muddled brain.
> > I understand the reason for not using the Canon for > well-temperaments. Makes all the sense.
> > Many thanks! An excellent resource, the Warped Canon page > is!!! Thanks!

I finally got around to doing the transposed versions in Db and Eb for a handful of common well-temperaments (and one of my own, "Keyhole" from 2003). I changed the instrumentation since these tunings are intended for keyboard instruments (and because I'm just plain sick of hearing the same old thing over and over again...) Here's a rough version of the page:

http://www.io.com/~hmiller/music/warped-canon-12note.html

I don't have a lot of information about these temperaments, so any corrections or further information would be appreciated. There are so many of these tunings that I don't know if I'll ever get around to including all of them, but I'll want to add some of the more familiar ones (such as Kirnberger III at least). (If anyone wants to suggest a tuning to include, please give the tuning of the fifths in fractions of a comma, if known; that'll make things easier for me).

--- In tuning@yahoogroups.com, Herman Miller <hmiller@I...> wrote:
> ...
> I finally got around to doing the transposed versions in Db and Eb
for a
> handful of common well-temperaments (and one of my own, "Keyhole"
from
> 2003). I changed the instrumentation since these tunings are
intended
> for keyboard instruments (and because I'm just plain sick of
hearing the
> same old thing over and over again...) Here's a rough version of
the page:
>
> http://www.io.com/~hmiller/music/warped-canon-12note.html
>
> I don't have a lot of information about these temperaments, so any
> corrections or further information would be appreciated. There are
so
> many of these tunings that I don't know if I'll ever get around to
> including all of them, but I'll want to add some of the more
familiar
> ones (such as Kirnberger III at least). (If anyone wants to suggest
a
> tuning to include, please give the tuning of the fifths in
fractions of
> a comma, if known; that'll make things easier for me).

Herman, you really should have a set of these in C so we can hear the
*very best* triads of each temperament. Otherwise, one is liable to
conclude that the "best" temperaments are those that depart least
from 12-ET.

I'd also like to have a proportional-beating well-temperament or
_temperament ordinaire_ included (although I can't yet say which
one). Over the past couple of weeks I've been experimenting with
various ideas, but I need more time to continue working on these and
to make a final evaluation -- even that temperament (extra)ordinaire
that I was raving about several weeks ago may be replaced by
something even better.

--George

George D. Secor wrote:

> Herman, you really should have a set of these in C so we can hear the > *very best* triads of each temperament. Otherwise, one is liable to > conclude that the "best" temperaments are those that depart least > from 12-ET.

Makes sense. I'll also change the table at the end of the page (which compares the scales by the individual temperaments of their fifths) to use the C tuning.

> I'd also like to have a proportional-beating well-temperament or > _temperament ordinaire_ included (although I can't yet say which > one). Over the past couple of weeks I've been experimenting with > various ideas, but I need more time to continue working on these and > to make a final evaluation -- even that temperament (extra)ordinaire > that I was raving about several weeks ago may be replaced by > something even better.

Paul Poletti's "Temperaments for Dummies" page (a very useful reference) has an example of an ordinaire tuning; I was planning on including at least the tunings on that page.

http://www.polettipiano.com/Media/T4D.PDF