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periodicity block 'doubling'

🔗Joe Monzo <joe_monzo@hotmail.com>

4/28/2000 12:59:28 PM

Hello all,

I'm still really busy dealing with my move to San Diego,
and haven't been able to follow the List regularly. I just
try to check in every week or so, and plow thru the accumulation.

Sheesh, what a bunch of crap over the last couple of weeks!...
(and again I will agree with those who urge trimming of replies.)

The one *really* interesting thing I've seen is Paul musings
on properties of periodicity-blocks.

[Paul Erlich, TD 619.6]
>
>So I conjecture that this doubling only happens when the determinant
>is a multiple of 4. Similarly, tripling probably can only occur if
>the determinant is a multiple of 9.

So if you are correct about this (and I see that you've already
retracted it as being incorrect, but what the hell...),
then perhaps by extrapolation this could be true:

determinant is multiple of...
doubling 4 (= 2^2)
tripling 9 (= 3^2)
quintupling 25 (= 5^2)

etc.

I, too, could stand to explore this a *lot* more, but there's
my 'dos centavos'.

-monz

Joseph L. Monzo San Diego monz@juno.com
http://www.ixpres.com/interval/monzo/homepage.html
| 'I had broken thru the lattice barrier...' |
| -Erv Wilson |
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