Tuning Dictionary update: 12edo page

hello all,

i've been busy all weekend doing lots of updates
to definitions in the Tuning Dictionary.

perhaps the most significant update is in the
12edo definition:
http://www.ixpres.com/interval/dict/12-eq.htm

i've included lots of vector math, showing the derivation
of 12edo by tempering out the Pythagorean comma, and also
showing its kinship with 1/11-comma meantone, and its
function as a schismic tuning.

i know most people on this list are wanting to get
away from 12edo, but it's historically important, and
this shows some of the math behind the reasons why.

-monz
"all roads lead to n^0"

--- In tuning@y..., "monz" <monz@a...> wrote:

/tuning/topicId_39070.html#39070

> hello all,
>
>
> i've been busy all weekend doing lots of updates
> to definitions in the Tuning Dictionary.
>
> perhaps the most significant update is in the
> 12edo definition:
> http://www.ixpres.com/interval/dict/12-eq.htm
>
> i've included lots of vector math, showing the derivation
> of 12edo by tempering out the Pythagorean comma, and also
> showing its kinship with 1/11-comma meantone, and its
> function as a schismic tuning.
>
> i know most people on this list are wanting to get
> away from 12edo, but it's historically important, and
> this shows some of the math behind the reasons why.
>

***I still use it some. Shame, shame...

J. Pehrson

>

The remarkable thing about 12 edo is how many different ways it can be interpreted. we could add
Yasser's series of 5+7 =12 also as significant. That it is so low numbered and flexible makes it
hard to beat. In the end, we may find that the mathematical explanation may be endless. Like all
good symbols, a condensation of a myriad of dynamic forces.

>
> From: "monz" <monz@attglobal.net>
>
>
> i know most people on this list are wanting to get
> away from 12edo, but it's historically important, and
> this shows some of the math behind the reasons why.
>
> -monz
> "all roads lead to n^0"
>

-- Kraig Grady
North American Embassy of Anaphoria island
http://www.anaphoria.com

The Wandering Medicine Show
KXLU 88.9 fm Wed. 8-9pm PST.
live stream kxlu.com

right you are, Kraig. 12 is indeed a "magic number"
for many countable things, even outside of music, and
has been for a very long time.

-monz
"all roads lead to n^0"

----- Original Message -----
From: "Kraig Grady" <kraiggrady@anaphoria.com>
To: <tuning@yahoogroups.com>
Sent: Monday, September 23, 2002 10:51 AM
Subject: [tuning] Tuning Dictionary update: 12edo page

> >
>
> The remarkable thing about 12 edo is how many different ways
> it can be interpreted. we could add Yasser's series of 5+7 =12
> also as significant. That it is so low numbered and flexible
> makes it hard to beat. In the end, we may find that the
> mathematical explanation may be endless. Like all good symbols,
> a condensation of a myriad of dynamic forces.
>
> >
> > From: "monz" <monz@attglobal.net>
> >
> >
> > i know most people on this list are wanting to get
> > away from 12edo, but it's historically important, and
> > this shows some of the math behind the reasons why.
> >
> > -monz
> > "all roads lead to n^0"
> >
>
> -- Kraig Grady
> North American Embassy of Anaphoria island
> http://www.anaphoria.com
>
> The Wandering Medicine Show
> KXLU 88.9 fm Wed. 8-9pm PST.
> live stream kxlu.com