McLaren is also intrigued by 33-EDO

David Finnamore and I were both wowed recently by Herman's
33-EDO version of "Pachelbel's Canon"

I just came across something in a private email from Brian McLaren
that echoes our sentiments (the capital letters are merely the
result of output from an old BASIC program):

> FOR + 1/2 COMMA MEANTONE, THE CLOSEST EQUAL TEMPERAMENT IS:
> 33 TONES / OCT = .2927074432373047 CENTS FROM + 1/2 COMMA MEANTONE
>
> A fourth interesting point is that the above list gives a new reason to
> explore 33 tones/octave. In my experience this is one of the more
> intriguing equal temperaments, far more musically interesting than the
> numbers would indicate. In that regard, 33 falls into the same class as
> 9, 10, 20, 21, 26 and 27 tones per octave: these are all overlooked
> equal temperaments with plenty to offer but very little publicity in the
> theoretical literature.

-monz
http://www.monz.org
"All roads lead to n^0"

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--- In tuning@y..., "monz" <joemonz@y...> wrote:
> David Finnamore and I were both wowed recently by Herman's
> 33-EDO version of "Pachelbel's Canon"
>
> I just came across something in a private email from Brian McLaren
> that echoes our sentiments (the capital letters are merely the
> result of output from an old BASIC program):
>
>
> > FOR + 1/2 COMMA MEANTONE, THE CLOSEST EQUAL TEMPERAMENT IS:
> > 33 TONES / OCT = .2927074432373047 CENTS FROM + 1/2 COMMA
MEANTONE

Yes, but Herman's version was not the 1/2-comma meantone usage of 33-tET . . . instead, it
used major thirds of 400 cents. It may be the great familiarity of hearing those thirds all your lives
that made that version appeal to you.

On Sun, 01 Jul 2001 00:58:52 -0000, "Paul Erlich" <paul@stretch-music.com>
wrote:

>Yes, but Herman's version was not the 1/2-comma meantone usage of 33-tET . . . instead, it
>used major thirds of 400 cents. It may be the great familiarity of hearing those thirds all your lives
>that made that version appeal to you.

Hmm, I hadn't thought of doing 33 as a meantone. I was even a little
reluctant to put 45 and 26 into that category, although they didn't fit
anywhere else.

I just did a version with 33-TET as a meantone for comparison. Even though
the thirds are flatter than the 12-TET thirds are sharp, it does sound
interesting. I added it to my web page under the meantone section.