Freestyle misunderstood

>|||||A. Adaptive JI - Adaptive tuning where harmonic, but not
>_necessarily_ melodic intervals are rendered in just intonation.
>For example, Lou Harrison's "free style", early work by John
>deLaubenfels. See also: Classic JI, Fixed JI.

All of Lou's "freestyle" pieces (there are only three that I know of),
represent all harmonic AND *melodic* intervals by integer ratios, mostly
quite simple ones.

--DBD

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David B. Doty jinetwk@dnai.com
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>>|||||A. Adaptive JI - Adaptive tuning where harmonic, but not
>>_necessarily_ melodic intervals are rendered in just intonation.
>>For example, Lou Harrison's "free style", early work by John
>>deLaubenfels. See also: Classic JI, Fixed JI.
>
> All of Lou's "freestyle" pieces (there are only three that I
>know of), represent all harmonic AND *melodic* intervals by
>integer ratios, mostly quite simple ones.
>
> --DBD

Heya, David! Thanks for replying!

I said not _necessarily_. Free Style would be an example of
Adaptive JI where melodic intervals are just. Paul E.'s scheme
of rooting just triads on meantone roots would be an example
where they're not.

-Carl

--- In tuning@y..., "clumma" <carl@l...> wrote:
> >>|||||A. Adaptive JI - Adaptive tuning where harmonic, but not
> >>_necessarily_ melodic intervals are rendered in just intonation.
> >>For example, Lou Harrison's "free style", early work by John
> >>deLaubenfels. See also: Classic JI, Fixed JI.
> >
> > All of Lou's "freestyle" pieces (there are only three that I
> >know of), represent all harmonic AND *melodic* intervals by
> >integer ratios, mostly quite simple ones.
> >
> > --DBD
>
> Heya, David! Thanks for replying!
>
> I said not _necessarily_. Free Style would be an example of
> Adaptive JI where melodic intervals are just. Paul E.'s scheme
> of rooting just triads on meantone roots would be an example
> where they're not.
>
> -Carl

Lou Harrison's freestyle strikes me as one of the two types
of "Strict JI", so I wouldn't call it "Adaptive JI". The two types of
Strict JI would be (a) one with a finite set, though not necessarily
closed, set of fixed pitches, so that drift doesn't occur; and (b)
one with a potentially infinite use of pitches from the JI lattice,
with a preference for observing common tones, so that drift may
occur. I've called the former "Fixed-pitch JI" and the
latter "Freestyle JI" -- the term "strict" qualifies both these
subcategories.