Hi Kelly,
--- In
harmonic_entropy@yahoogroups.com, "traktus5" wrote:
>
>
> > > > Do you think this could have any acoustical significance?
> > > > It's a very nice sounding chord!
>
> > > ... no, I don't think it guarantees an overall
> > > "nice" sound.
>
> But there is a correlation between the 'height' of the
> interval in the series (ie, eg, 5/4 x 3 = 15/12) and
> the difference tone, so there could be a connection...
You do *very* strange arithmetic! ;-)
You often write things like:
5/4 x 3 = 15/12
This should be, instead,
5/4 x 3/3 = 15/12
since
a) you can always multiply any number by 1 without
changing it, and
b) 2/2 = 3/3 = 4/4 = 5/5 = ... = 1 = n/n for every
natural number n.
These facts mean you cna legitimately multiply BOTH
top and bottom (numerator and denominator) of any
fraction by the same number.
Enough of the maths ... what do you mean by "height"?
Regards,
Yahya