Two tonalities

>>>To the extent that this does not imply a harmonic series, by combination
>>>tones or perhaps some hard-wired preference, tonality can be established
>>>by fitting a group to an inharmonic series.
>>
>>I don't understand that.

I was just allowing for adaptive tuning. The only work that I know of in
the area of explicit adaptive tuning is Sethares', and I have said many
times how cool I think it is. But, as I have also said, I feel that the
inharmonic timbres and chords lack a quality that I find in harmonic
timbres and chords (and although I haven't done enough listening to say for
sure, my first reaction has been that justly-tuned subharmonic chords also
lack this quality). I don't know why this is. I was speculating, and I
may have gotten these from Sethares' book or posts to the list, that it
could be one or both of...

*)That our mind-ear, having evolved to recognize spoken language, might
have many routines that assume harmonic timbres, since the human voice
fairly harmonic, and in fact vowels are to a great extent the selection of
certain harmonics from it.

*)That roughness curves, when adjusted for combination tones, may show a
preference for harmonics, or at for least some sort of additive series.

>>Anyhow, do you think the minor third in the minor key is not part of the
>>phenomenon of harmonic tonality?

Its function in the minor key is strictly a matter of melodic tonality, as
far as I'm concerned. I have reservations about the term "melodic
tonality" because the stimulus P need not be melodic. In fact I think of
"key" as being a spec for relating harmonic and scalar stimuli. So in a
way "harmonic tonality" is part of "key".

I'm not sure how to measure the "key effects" in a sample of music. I said
that Rothenberg comes as close as I know. Also close are Wilson,
Boomsliter and Creel, and you (Paul Erlich). For "harmonic tonality
effects", I will accept a list of, at each beat in the music, the top three
most likely fundamentals and their relative probabilities. This is lifted
right from you.

Carl