Multiply ambiguous temperaments

If the septimal kleisma of 225/224 is tempered out, the septimal
kleismic augmented triad, 5/4-5/4-9/7, is a chord of ambiguous
tonality. If the septimal semicomma of 126/125 is tempered out, the
septimal semicomma diminished seventh chord, 6/5-6/5-6/5-7/6, as a
chord of ambiguous tonality. If the orwell comma of 1728/1715 is
tempered out, the orwell tetrad, 5/4-7/6-7/6-7/6, is a chord of
ambiguous tonality. Tempering out two of these gives linear
temperaments with two different ambiguous chords. If we temper out
126/125 and 225/224, we get septimal meantone temperament. If we
temper out 1728/1715 and 225/224, we get orwell temperament. If we
temper out 126/125 and 1728/1715, we get myna temperament.

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:

> If we temper out
> 126/125 and 225/224, we get septimal meantone temperament. If we
> temper out 1728/1715 and 225/224, we get orwell temperament. If we
> temper out 126/125 and 1728/1715, we get myna temperament.

I forgot to add that if we temper out all three, we get 31-et.