RE: [tuning] Re: A just (and well-tempered) reconciliation?

Margo wrote,

>First, I find it very easy to tune a pentatonic scale in JI without
>any comma problems that I can identify, for example (placing a minor
>third as the lowest interval of the octave, and arbitrarily measuring
>intervals from this note):

> D F G A C D
>1:1 32:27 4:3 3:2 16:9 2:1
> 0 ~294 ~498 ~702 ~996 1200
> |------|------|------|-----|-----|
> 32:27 9:8 9:8 32:27 9:8

Of course, in the context of 5-limit harmony, the "comma problems" are that
the two minor thirds and one major third are supposed to be consonant, but
they are off by a comma. Perhaps you are coming from the context of 3-limit
harmony (well, I know that you are, but newer members might not, so you
might want to say so), in which case I agree, this is a perfect solution
when the consonant harmony is constructed entirely from fourths and fifths.