Wizard and 72 et

This temperament was mentioned before, but it got a bad press because
it was being looked at purely as a 7-limit temperament. In fact, it is
an excellent 11-limit temperament, and if I may indulge in heresy,
actually has some advantages over miracle when it comes to large scales
of around the size of Canasta. This is because wizard, much more than
miracle, allows for interesting ways to have the chords change into
other chords as you keep a consistent step pattern.

I've posted something over on tuning-math about the scales of wizard.
People such as Joe who are interested in 72-et and are thinking about
ways of incorporating more 11-limit harmony might consider wizard.

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:

> This is because wizard, much more than
> miracle, allows for interesting ways to have the chords change into
> other chords as you keep a consistent step pattern.

Having just gotten done telling you this (in reference to 11-limit,
which isn't clear from the above) I must take it back. I was being too
restrictive, and should have allowed for scales such as Miracle[22],
which has a chroma (11/10) which is an 11-limit consonance. The details
to appear on tuning-math.

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:

/tuning/topicId_43255.html#43255

> This temperament was mentioned before, but it got a bad press
because
> it was being looked at purely as a 7-limit temperament. In fact, it
is
> an excellent 11-limit temperament, and if I may indulge in heresy,
> actually has some advantages over miracle when it comes to large
scales
> of around the size of Canasta. This is because wizard, much more
than
> miracle, allows for interesting ways to have the chords change into
> other chords as you keep a consistent step pattern.
>
> I've posted something over on tuning-math about the scales of
wizard.
> People such as Joe who are interested in 72-et and are thinking
about
> ways of incorporating more 11-limit harmony might consider wizard.

***Thanks, Gene. I'll check it out...

J. Pehrson

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> --- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
>
> > This is because wizard, much more than
> > miracle, allows for interesting ways to have the chords change
into
> > other chords as you keep a consistent step pattern.
>
> Having just gotten done telling you this (in reference to 11-limit,
> which isn't clear from the above) I must take it back. I was being
too
> restrictive, and should have allowed for scales such as
Miracle[22],
> which has a chroma (11/10) which is an 11-limit consonance. The
details
> to appear on tuning-math.

at this point, as i explained on specmus, gene and i are operating
under two different definitions of chroma, for some scales.

--- In tuning@yahoogroups.com, "wallyesterpaulrus"
<wallyesterpaulrus@y...> wrote:

> at this point, as i explained on specmus, gene and i are operating
> under two different definitions of chroma, for some scales.

It's not clear to me that we are. Can you give an example?

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:
> --- In tuning@yahoogroups.com, "wallyesterpaulrus"
> <wallyesterpaulrus@y...> wrote:
>
> > at this point, as i explained on specmus, gene and i are
operating
> > under two different definitions of chroma, for some scales.
>
> It's not clear to me that we are. Can you give an example?

you'd probably define the chroma of miracle(26) as some kind of
tritone, while to me it should never be larger than the largest
difference between any two intervals subtending the same number of
scale steps.

--- In tuning@yahoogroups.com, "wallyesterpaulrus" >
> at this point, as i explained on specmus, gene and i are operating
> under two different definitions of chroma, for some scales.

Chroma is already defined for psycho-physics. I am not sure I
understand what you mean by chroma but it is surely different to
psycho-physics. Maybe you should use a new term to end confusion?
Chromatta, Chrome, Chromic, Chromica, who knows?

Gabor

--- In tuning@yahoogroups.com, "alternativetuning"
<alternativetuning@y...> wrote:
> --- In tuning@yahoogroups.com, "wallyesterpaulrus" >
> > at this point, as i explained on specmus, gene and i are
operating
> > under two different definitions of chroma, for some scales.
>
> Chroma is already defined for psycho-physics. I am not sure I
> understand what you mean by chroma but it is surely different to
> psycho-physics. Maybe you should use a new term to end confusion?
> Chromatta, Chrome, Chromic, Chromica, who knows?
>
> Gabor

the actual term in _the forms of tonality_ is "chromatic unison
vector", where the "unison vector" terminology comes from fokker.