definition of "maximal evenness"; Dictionary updates

Help!

I need a definition for "maximal evenness" and/or
"maximally even".

The Dictionary now has "distributional evenness":
http://www.ixpres.com/interval/dict/disteven.htm

I don't think I wrote that... if that's the case,
would the author please step forward and claim credit?
(I think it was John Chalmers, but not sure...)

Also new today:

RI, rational intonation
http://www.ixpres.com/interval/dict/rint.htm

ri
http://www.ixpres.com/interval/dict/ri.htm

generator
http://www.ixpres.com/interval/dict/generator.htm

Overhauled, with corrections and lots of new links:

MOS
http://www.ixpres.com/interval/dict/mos.htm

constant structure
http://www.ixpres.com/interval/dict/constant.htm

matrix
http://www.ixpres.com/interval/dict/matrix.htm

WAFSO-just
http://www.ixpres.com/interval/dict/wafso.htm

As always, feedback is welcome: corrections, expansions,
links, etc.

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

Hi Monz!

Under generator, the story of the MIRACLE/blackjack scales (which
should go under wafso-just) is not quite right. Dave already
discovered the MIRACLE scale before running his optimization and
finding that its generator was indeed optimal.

-Paul

--- In tuning@y..., paul@s... wrote:
> Hi Monz!
>
> Under generator, the story of the MIRACLE/blackjack scales (which
> should go under wafso-just) is not quite right. Dave already
> discovered the MIRACLE scale before running his optimization and
> finding that its generator was indeed optimal.

I don't consider 72-EDO or any Erlich-Keenan generator scale to be
wafso-just beyond the 7-limit. The error in the 4:9 is too high. I
originally intended wafso-just to mean about half the errors of
quasi-just. I tend not to use the term wafso-just anymore, due to its
etymology. :-) Instead I prefer the term microtempered. But I might be
persuaded to change.

I'd prefer to let MIRACLE (as per Paul's acronymisation) describe the
generator (which Paul discovered). I'd prefer to call the 31-tone
scale Canasta.

Graham, or anyone, how about explaining why Canasta is a good name for
it, given that the 21 toner is called Blackjack?

-- Dave Keenan

Dave Keenan wrote:

> I'd prefer to let MIRACLE (as per Paul's acronymisation) describe the
> generator (which Paul discovered). I'd prefer to call the 31-tone
> scale Canasta.

I'd prefer that as well, although it would mean going through the web
pages to change everything back. "Miracle" is a much cuter name, and a
great marketing tag. If one of a group of musicologists says "have you
heard of this new Miracle temperament?" that immediately grabs the others'
attention.

It'd be nice to attach "Erlich-Keenan" to something, although it's a
mouthful for the temperament as a whole.

> Graham, or anyone, how about explaining why Canasta is a good name for
> it, given that the 21 toner is called Blackjack?

It seemed right from looking at the lattice. I think it's another card
game, I haven't checked. One rationalisation is that we have an
alphabetical ordering, so the 11-note scale could be a game beginning with
"A" and the 41-note scale with "D". I can't think of any.

Graham

--- In tuning@y..., graham@m... wrote:
>"Miracle" is a much cuter name,
and a
> great marketing tag. If one of a group of musicologists says "have
you
> heard of this new Miracle temperament?" that immediately grabs the
others'
> attention.

I agree. But then "MIRACLE" should apply to _any_ scale based on that
generator, and to the generator itself.

> It'd be nice to attach "Erlich-Keenan" to something, although it's a
> mouthful for the temperament as a whole.

Yeah. Don't worry about losing "Erlich-Keenan". At least not on my
account. "EK" as in "yeck", doesn't sound very good (unlike BP).

> > Graham, or anyone, how about explaining why Canasta is a good name
for
> > it, given that the 21 toner is called Blackjack?
>
> It seemed right from looking at the lattice. I think it's another
card
> game, I haven't checked. One rationalisation is that we have an
> alphabetical ordering, so the 11-note scale could be a game
beginning with
> "A" and the 41-note scale with "D". I can't think of any.

Yes. Canasta is a card game. But I thought it must have some
association with 31. I asked my wife, who is a card game afficionado.
She says there is no relationship whatsoever between Canasta and the
number 31. There is however another game that is similar to Blackjack
where the aim is to achieve a total of 31! And would you believe, it
even has a special status for the hand consisting of two tens and an
ace (10+11+10)!

And what is the name of this astoundingly appropriate card game?
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
"Thirty one"

Bummer!

So, unless anyone has a better idea, I'll just call the scale "the
31-tone MIRACLE scale" or "MIRACLE-31" for short.

-- Dave Keenan

--- In tuning@y..., "Dave Keenan" <D.KEENAN@U...> wrote:

/tuning/topicId_22607.html#22613

>
> Graham, or anyone, how about explaining why Canasta is a good name
for it, given that the 21 toner is called Blackjack?
>
> -- Dave Keenan

So now, not only am I behind, but I don't know cards...

I'm assuming that Canasta has 31 cards??

________ _____ _ ____
Joseph Pehrson

--- In tuning@y..., jpehrson@r... wrote:

/tuning/topicId_22607.html#22901

> So now, not only am I behind, but I don't know cards...
>
> I'm assuming that Canasta has 31 cards??

Joe, do a search for "canasta" in the archives, and just
read all the messages that came after 22901. You'll find
out what happened.

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