Temperament finder subgroup suggestion

I was wondering where machine went - looks like the subgroup it's
defined as changed from "2.7.9.11" to "2.9.7.11," putting the 9 before
the 7, presumably because it's a compounded 3 and 3 is less than 7. It
only comes up when you search the 2.9.7.11 subgroup - see here:

http://x31eq.com/cgi-bin/pregular.cgi?limit=2.9.7.11&error=5.0

But not if you search for 2.7.9.11:

http://x31eq.com/cgi-bin/pregular.cgi?limit=2.7.9.11&error=5.0

The same thing happens if you search 2.5.3 instead of 2.3.5:

http://x31eq.com/cgi-bin/pregular.cgi?limit=2.5.3&error=5.0

I suggest it might be useful, when a search is conducted, to
internally place the incoming limit into some sort of normal form, so
that 2.7.9.11 and 2.9.7.11 become equivalent. Placing the numbers in
ascending order would probably do the trick. Otherwise it's going to
get hairy when searching subgroups.

-Mike

Mike Battaglia <battaglia01@...> wrote:

> I suggest it might be useful, when a search is conducted,
> to internally place the incoming limit into some sort of
> normal form, so that 2.7.9.11 and 2.9.7.11 become
> equivalent. Placing the numbers in ascending order would
> probably do the trick. Otherwise it's going to get hairy
> when searching subgroups.

It sure would be useful, but it doesn't work. It's
moderately difficult to get it to work. So I haven't done
it.

Graham

--- In tuning@yahoogroups.com, Mike Battaglia <battaglia01@...> wrote:

> I suggest it might be useful, when a search is conducted, to
> internally place the incoming limit into some sort of normal form, so
> that 2.7.9.11 and 2.9.7.11 become equivalent. Placing the numbers in
> ascending order would probably do the trick. Otherwise it's going to
> get hairy when searching subgroups.

I've been using the normal interval list to define the canonical notation for subgroups; this makes sense because there's more to this business than just the ordering, there's also what generators get used. The normal list makes it 2.9.7.11, and I suggest we stick to that or we won't know what to do with more exotic subgroups.