OFFLIST Re: [tuning-math] 72 owns the 11-limit

Hi Gene,

1st)

Just nitpicking here:

Technically, the name of the journal published in the 1970s and 80s
by John Chalmers, continued by Daniel Wolf, and then picked up again
by Dr. Chalmers, is "Xenharmonik�n".

Most email posters don't worry about the "�", but everyone uses the "k".

2nd)
My prayers are with your mother for her surgery. Hope all goes well.

love / peace / harmony ...

-monz
http://www.monz.org
"All roads lead to n^0"

----- Original Message -----
From: <genewardsmith@juno.com>
To: <tuning-math@yahoogroups.com>
Sent: Wednesday, October 03, 2001 9:23 PM
Subject: [tuning-math] 72 owns the 11-limit

> I just finished an interesting calculation, where I took the nine
> smallest superparticular ratios belonging to the 11-limit, namely
> 225/224, 243/242, 385/384, 441/440, 540/539, 2401/2400, 3025/3024,
> 4375/4374 and 9801/9800. I then checked all 126 4-element subsets,
> finding 69 of rank 4. Astonisingly, all 69 had the 72 et as the
> generator of its null space; in 59 of those cases the determinant of
> the 5x5 matrix with 5 indeterminates for the first row was +-h72.
>
> It seems to me I had better check some other prime limits, and it
> would be helpful if someone could post some of the Xenharmonicon data
> so I don't need to recalculate it. At the moment, at least until my
> mother has her brain surgery, I don't feel I am able to leave the
> house for long and do this myself.
>
>
>
> To unsubscribe from this group, send an email to:
> tuning-math-unsubscribe@yahoogroups.com
>
>
>
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>

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Oops... my bad. It was supposed to be OFFLIST.
Sorry, Gene.

-monz

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