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Mega 11 and 13 limit ets

🔗Gene Ward Smith <genewardsmith@juno.com> <genewardsmith@juno.com>

1/16/2003 3:06:02 PM

Here are lists from 50000 to 1000000 of ets with log-flat measure less than 1, together with its measure. Note that 258008 appears on both lists; it would also appear in the 15 and 17 limits.

Eleven limit

54624 .687840
121524 .637140
218002 .933133
258008 .745125
312632 .988525
563949 .949222
903475 .565789
1161483 .555994
2064958 .531236
2968433 .912912

Thirteen limit

81860 .755085
87939 .756550
96478 .645002
161530 .656916
184417 .975711
258008 .614009
354486 .988733
442425 .925813
1024999 .971305
1106859 .997514
5033391 .592631
5291399 .984485
5475816 .931178
8192932 .817337

🔗wallyesterpaulrus <wallyesterpaulrus@yahoo.com> <wallyesterpaulrus@yahoo.com>

1/16/2003 3:31:03 PM

--- In tuning-math@yahoogroups.com, "Gene Ward Smith
<genewardsmith@j...>" <genewardsmith@j...> wrote:
> Here are lists from 50000 to 1000000 of ets with log-flat measure
less than 1, together with its measure. Note that 258008 appears on
both lists; it would also appear in the 15 and 17 limits.
>
>
> Eleven limit
>
> 54624 .687840
> 121524 .637140
> 218002 .933133
> 258008 .745125
> 312632 .988525
> 563949 .949222
> 903475 .565789
> 1161483 .555994
> 2064958 .531236
> 2968433 .912912

what happened to 504504?

🔗Gene Ward Smith <genewardsmith@juno.com> <genewardsmith@juno.com>

1/16/2003 3:58:28 PM

--- In tuning-math@yahoogroups.com, "wallyesterpaulrus <wallyesterpaulrus@y...>" <wallyesterpaulrus@y...> wrote:

> what happened to 504504?

I checked from 3 to 23, and it's not nearly good enough to make the cut in any of them. Are you sure this is the right number?

🔗wallyesterpaulrus <wallyesterpaulrus@yahoo.com> <wallyesterpaulrus@yahoo.com>

1/16/2003 4:05:07 PM

--- In tuning-math@yahoogroups.com, "Gene Ward Smith
<genewardsmith@j...>" <genewardsmith@j...> wrote:
> --- In tuning-math@yahoogroups.com, "wallyesterpaulrus
<wallyesterpaulrus@y...>" <wallyesterpaulrus@y...> wrote:
>
> > what happened to 504504?
>
> I checked from 3 to 23, and it's not nearly good enough to make the
>cut in any of them. Are you sure this is the right number?

i got it from:

http://sonic-arts.org/dict/marc-edolist.htm

🔗Gene Ward Smith <genewardsmith@juno.com> <genewardsmith@juno.com>

1/16/2003 4:18:38 PM

--- In tuning-math@yahoogroups.com, "wallyesterpaulrus <wallyesterpaulrus@y...>" <wallyesterpaulrus@y...> wrote:
> --- In tuning-math@yahoogroups.com, "Gene Ward Smith
> <genewardsmith@j...>" <genewardsmith@j...> wrote:
> > --- In tuning-math@yahoogroups.com, "wallyesterpaulrus
> <wallyesterpaulrus@y...>" <wallyesterpaulrus@y...> wrote:
> >
> > > what happened to 504504?
> >
> > I checked from 3 to 23, and it's not nearly good enough to make the
> >cut in any of them. Are you sure this is the right number?
>
> i got it from:
>
> http://sonic-arts.org/dict/marc-edolist.htm

I'd guess he chose it on the basis of its prime factorization:

504504 = 2^3 3^2 5^2 7 11 13

I'm not sure why he didn't choose the lcm of all numbers up to 15
(360360) or 16 (720720) instead.

🔗Gene Ward Smith <genewardsmith@juno.com> <genewardsmith@juno.com>

1/16/2003 4:22:22 PM

--- In tuning-math@yahoogroups.com, "Gene Ward Smith > > http://sonic-arts.org/dict/marc-edolist.htm
>
> I'd guess he chose it on the basis of its prime factorization:

Sorry, that should be

504504 = 2^3 3^2 7^2 11 13

No 5s, obviously!

🔗wallyesterpaulrus <wallyesterpaulrus@yahoo.com> <wallyesterpaulrus@yahoo.com>

1/16/2003 4:24:05 PM

--- In tuning-math@yahoogroups.com, "Gene Ward Smith
<genewardsmith@j...>" <genewardsmith@j...> wrote:
> --- In tuning-math@yahoogroups.com, "wallyesterpaulrus
<wallyesterpaulrus@y...>" <wallyesterpaulrus@y...> wrote:
> > --- In tuning-math@yahoogroups.com, "Gene Ward Smith
> > <genewardsmith@j...>" <genewardsmith@j...> wrote:
> > > --- In tuning-math@yahoogroups.com, "wallyesterpaulrus
> > <wallyesterpaulrus@y...>" <wallyesterpaulrus@y...> wrote:
> > >
> > > > what happened to 504504?
> > >
> > > I checked from 3 to 23, and it's not nearly good enough to make
the
> > >cut in any of them. Are you sure this is the right number?
> >
> > i got it from:
> >
> > http://sonic-arts.org/dict/marc-edolist.htm
>
> I'd guess he chose it on the basis of its prime factorization:
>
> 504504 = 2^3 3^2 5^2 7 11 13

that wouldn't make sense, since he also chose 15601 as "most
convenient" (this time for 3-limit), and it's prime!