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>>[6.] Paul Erlich's pentachordal major decatonic in 22tet.
>> 0 2 4 7 9 11 13 16 18 20 22
>> 2 2 3 2 2 2 3 2 2 2
>>Scale pattern 1-4-7 yields seven 5-limit triads (4 otonal and 3 utonal).
>
>Count again -- there's eight (4 otonal and 4 utonal).

I simply mis-counted. I wrote the article, in a hurry, based on the charts
at...

http://lumma.org/Gd.zip

...which are correct, or should be, since the data was generated by my
computer.

>>Degrees 1-4-7-9 give three 4:5:6:7 and three 10:12:15:17 tetrads.
>
>Why do you call them 10:12:15:17 tetrads and not 1/(4:5:6:7) tetrads?

In this search, I simply picked some chords I was interested in, and tuned
them in my favorite ET's, if they were consistently represtented. If an ET
confounded a pair of chords, I recognized only the interpretation with the
lowest RMS error. It's all in the text files on my web server.

>What about the symmetrical decatonic scale, where 1-4-7-9 gives _four_
>4:5:6:7s and _four_ 1/(4:5:6:7)s?

What about it?

>And how about the diminished scale in 12-tET (or 28-tET, etc.) where 1-4-7
>gives four 3:4:5 triads and four 1/(3:4:5) triads?

Sounds cool! How does the scale go?

>And how about the 14-out-of-26 scale I've discussed?

That's cool too. Maybe I'll run it up. The search was mainly intended to
check out some of the scales that were given passing mention on the list in
the last year. I already knew, from your paper, that the 14-of-26 had the
property I was looking for. I should also run up Graham's neutral-third
heptatonics and decatonics.

-Carl