RE: RE: Re: RE: A gentle introduction to Fokker periodic ity blocks...

Daniel Wolf wrote,

>Can you be more concrete -- in terms of functional tonality -- about your
>definition of a meaningful musical difference?

Well I don't know what you mean by functional tonality here, but essentially
the idea is that the "wolves" created by treating the JI scale as a closed
system are unobjectionable. The acceptable difference here depends on
whether the scale is used only melodically, in rapid counterpoint with
inharmonic timbres, in long sustaining harmonies with harmonic timbres, etc.

>I should note in this context that David Feldman has made a passacaglia (a
>prototype is described in his XH article) whose melody is a sequence of
small
>number ratios with a product that is a very near unison (I believe it is
>123201:123200). A table of primes and factors is a good place to look for
>intervals like this.

Clearly this interval, 1/71 of 1 cent, qualifies as a unison vector under
any reasonable definition.