RE: harmonic entropy
- From: "Paul H. Erlich" <PErlich@xxxxxxxxxxxxxxxxx>
- To: "'tuning-math@xxxxxxxxxxxxx'" <tuning-math@xxxxxxxxxxxxx>
- Date: Thu, 18 Jul 2002 19:06:11 -0400
>"The self-similar shape of Paul's dyadic harmonic entropy graphs
>is reminiscent of the Stern-Brocot tree."
In many ways, it deviates strongly from that shape. Particularly, the
"levels" don't line up at all -- rather, what lines up are levels of equal
tenney complexity. You can make a "tenney tree" -- that would be better.
>"The local minima shown on these graphs correspond to members of a
>3-iteration Stern Brocot tree on 1/1 and 0/1, plus selected members
>of further iterations (those reached by increasingly dropping the
>right-hand side of the iterations)."
Can you formalize "increasingly dropping the right-hand side of the
iterations"?
>"Members from the first 3 iterations are confined to their
>iteration level by their harmonic entropy values. Members from
>further iterations begin to occupy the ranges of the first 3."
Is this supposed to sound special in some way?
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