Re: The Meantone Five????

Gene;

Are you referring to some late 1950's trad jazz band (featuring Gene "Wizard" Smith on slide rule)?

Great name, but where have you been?

There are (literally) millions of scales for meantone.

I suppose it depends upon what do you mean by "proper"?

Here's just a small start of some of the possibilities.

http://www.lucytune.com/new_to_lt/pitch_05.html

follow the links at the bottom of the page.

Best wishes

Lucy

--- In tuning-math@yahoogroups.com, Charles Lucy <lucy@...> wrote:

> There are (literally) millions of scales for meantone.

When you insist they stay within a certain range in terms of the chain
of fifths, have only seven notes, and if you count only what you
called "megamodes", then there aren't millions. If you then also
insist the scales be proper, there are far fewer.

> I suppose it depends upon what do you mean by "proper"?

http://en.wikipedia.org/wiki/Rothenberg_propriety

> Here's just a small start of some of the possibilities.

That's only one possiblity--the diatonic scale.

This stuff might actually interest you if you care to think about it.
The strange scale C Db E Fb G Ab Bb, which doesn't even exist in
12-edo, is actually not too irregular in Lucy tuning, since the
interval of a diesis between E and Fb is 54 cents.