Question for John Chalmers

John,

What's the longest superparticular ratio you found in each limit? How
far did you search?

--- In tuning-math@y..., "Paul Erlich" <paul@s...> wrote:
--- In tuning-math@y..., genewardsmith@j... wrote:
> --- In tuning-math@y..., "Paul Erlich" <paul@s...> wrote:
>
> > The jump from the longest 7-limit superparticular to the longest
11-
> > limit superparticular, you're saying, is not nearly as great as
the
> > jump from the longest 11-limit superparticular to the largest 13-
> > limit superparticular? I bet John Chalmers on the tuning list
could
> > immediately verify whether that's true. He might be interested to
> > learn of a mathematical explanation of this fact.
>
> Yes, take the ratio log(T(superparticular))/log(T(prime)) and I'm
> guessing 7,13,19 stick out. 23 even more so--it is an isolate, with
a
> distance of 4 to 19 and 6 to 29.

John Chalmers calculated all the superparticulars with numerator and
denominator less than 10,000,000,000 (IIRC), for numerator and
denominator up to 23. Can he verify this?
--- End forwarded message ---