Re: pentatonic adaptive j.i.

Hi John,

I wonder, if for adaptive j.i. pentatonic, there is something to be
said for targetting 9/8 and 10/9 for the tones?

Partly inspired because you find four of the notes of the pentatonic scale
really early on in the harmonic series amongst the eighth to the sixteenth harmonics
missing out 11, 13, 14, 15

> So, what I should've written is: the above [suggested pentatonic tuning]
> is the closest possible approach to consonant intervals that this
> combination of notes permits (according to a fairly reasonable
> definition of "closest" and "consonant").

Robert

[Robert wrote:]
>I wonder, if for adaptive j.i. pentatonic, there is something to be
>said for targeting 9/8 and 10/9 for the tones?

>Partly inspired because you find four of the notes of the pentatonic
>scale really early on in the harmonic series amongst the eighth to the
>sixteenth harmonics missing out 11, 13, 14, 15

The idea would be to specify the grounding for those notes, but still
allow the usual adaptive shift as different sets of intervals are
played. Currently, I don't allow for user-specified grounding, but
it certainly could be done! A given pentatonic MIDI sequence would,
of course, tend to find some sort of "natural" grounding, but it'd
probably look a lot like the COFT I did, with 1/4-comma meantone across
notes C, D, and E (but not G and A).

Interesting thought! I wonder whether the ear could distinguish between
this grounding and program-chosen grounding.

JdL