Re: [tuning-math] Digest Number 392

Thoughts please on the following scale
(in cents)
0 150 300 500 650 850 1000 (0

Interesting properties under transposition, it has. Can anyone name it, or
provide any other info

Mark

Mark Gould wrote:

> Thoughts please on the following scale
> (in cents)
> 0 150 300 500 650 850 1000 (0
>
> Interesting properties under transposition, it has. Can anyone name it,
> or
> provide any other info

That's neutral Phrygian in Manuel's list. Another mode of it is Mohajira,
an uncommon Arabic scale. I've got a page about these kind of things at
<http://x31eq.com/7plus3.htm>.

Graham

--- In tuning-math@y..., graham@m... wrote:
> Mark Gould wrote:
>
> > Thoughts please on the following scale
> > (in cents)
> > 0 150 300 500 650 850 1000 (0
> >
> > Interesting properties under transposition, it has. Can anyone
name it,
> > or
> > provide any other info
>
> That's neutral Phrygian in Manuel's list. Another mode of it is
Mohajira,
> an uncommon Arabic scale. I've got a page about these kind of
things at
> <http://x31eq.com/7plus3.htm>.
>
>
> Graham

i think mark would also be interested to know (if he doesn't already)
about the academic paper considering this in a class of "anti-
diatonic" scales. anyone have the reference handy?

emotionaljourney22 wrote:

> i think mark would also be interested to know (if he doesn't already)
> about the academic paper considering this in a class of "anti-
> diatonic" scales. anyone have the reference handy?

The only reference I know of for "anti-diatonic" scales is the page on my
website that I've already given. I assume you're thinking of
Carey&Clampitt's "Self-Similar Pitch Structures, Their Duals, Rhythmic
Analogues" that appeared in Perspectives of New Music, probably the issue
before Mark's own paper. The neutral third scales are only described in a
footnote, as the mean of two different diatonic scales. In the body of
the text a matrix is given which is a dual to the diatonic one, but not in
a particularly important way (it comes down to them both being a 7 note
MOS). So it's not really a good place to find out about neutral third
scales.

I got the paper online. I think it's still available somewhere, maybe the
files area for one of these groups.

Graham