IM conversation with Monz

paulerlich: It can only work its magic as adaptive JI if the
separation between the two chains is either 1/4-comma for 1/4-comma
meantone, or 1/3-comma for 1/3-comma meantone. No other combination
of system and separation would work.
Monz: Hmmm ... can you quote some of this IM to tuning-math with a
nice elaboration on how this works. I don't quite see it.
paulerlich: Simple:
paulerlich: in 1/4-comma meantone, the major thirds are just, and the
fifth and minor third are 1/4-comma flat -- so you simply go to the
1/4-comma meantone chain 1/4-comma away to get your just minor third
and just fifth.
paulerlich: in 1/3-comma meantone, the minor thirds are just, and the
fifth and major third are 1/3-comma flat -- so you simply go to the
1/3-comma meantone chain 1/3-comma away to get your just major third
and just fifth.

> From: paulerlich <paul@stretch-music.com>
> To: <tuning-math@yahoogroups.com>
> Sent: Wednesday, January 30, 2002 9:45 PM
> Subject: [tuning-math] IM conversation with Monz
>
>
> paulerlich: It can only work its magic as adaptive JI if the
> separation between the two chains is either 1/4-comma for 1/4-comma
> meantone, or 1/3-comma for 1/3-comma meantone. No other combination
> of system and separation would work.
> Monz: Hmmm ... can you quote some of this IM to tuning-math with a
> nice elaboration on how this works. I don't quite see it.
> paulerlich: Simple:
> paulerlich: in 1/4-comma meantone, the major thirds are just, and the
> fifth and minor third are 1/4-comma flat -- so you simply go to the
> 1/4-comma meantone chain 1/4-comma away to get your just minor third
> and just fifth.
> paulerlich: in 1/3-comma meantone, the minor thirds are just, and the
> fifth and major third are 1/3-comma flat -- so you simply go to the
> 1/3-comma meantone chain 1/3-comma away to get your just major third
> and just fifth.

That's cool! So in other words, a 38-tone subset of 152-EDO would
give you a nice adaptive-JI based on 1/3-comma meantone?

-monz

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