RE: [tuning] Re: advantages of 72-tET (was: my music - and the AN S synthesizer)

Oh, now I see what Jon Szanto was talking about! Sorry Jon!!! Since Jon was
replying to a different one of my messages, I assumed he was referring to
something I wrote in that message . . . whoops! Again, Jon, my deepest
apologies.

Hi Kraig.

>If one harmonic is higher and the other lower then you have an accumulated
tolerance.

Yes, and that, again, is the point of consistency. In 24-tET, the 5th
harmonic is sharp by 0.27 step, and the 7th harmonic is flat by 0.37 step.
Since these errors are in opposite directions, 24-tET is considered
inconsistent in the 7-limit. If the errors were in the same direction, it
would be considered consistent.

As Joe Monzo stated, Patrick Ozzard-Low's paper has the best published
explanation of consistency.