More about my "Golden spectrum" example

Hi again,

I promissed to say a bit more about the "Golden spectrum" recording I've
posted recently. I'll try to be brief.

As you may have noticed, the sound used is not an ordinary square wave
(though it sounds a lot like that) but actually a sine wave run through
strong distortion. Because of the nature of "phi", when you play two tones
whose frequency ratio is equal to "phi", then the difference tone is "phi"
times lower than the lower of the two sounding tones. And this is what I was
examining here most of all. But because some of the sounds in the Yamaha XG
set are not perfectly "in tune", it may happen occasionally that when you
really DO play a tone "phi" times lower, it's a cent or two away from the
difference tone of the upper two. And this is why you could hear some sort
of beating in some parts of the recording. Also, one of the intervals in the
used 12-tone scale is so close to 7/6 that I couldn't resist using this
approximation extensively as well. Further more, I also found acceptable
approximations to 21/16 and 13/9 there as well -- and that's why I used some
"weird interval combinations" towards the end.

Okay, I think that's just about it. Let's see what I'm going to do next
time.

Petr