[r-t] Complexity of extents
richard at ex-parrot.com
Mon Jun 24 22:48:50 UTC 2013
Andrew Johnson wrote:
>> From: Richard Smith <richard at ex-parrot.com>
>> But when I try to get an extent with rotational symmetry, it
>> feels like I'm fighting against the symmetry rather than
>> utilising it.
> It's not an extent, but for rotational symmetry were
> you thinking of compositions such as Ander's 5024 Bristol S.
Not really. I think the difference between an extent an
eighth-extent (a peal of major) is significant. I was
thinking more of extents on four, five or six. I can't say
I've ever tried to produce a rotationally symmetric peal of
Naïvely you wouldn't necessarily expect a rotationally
symmetric extent to be any harder to produce than a
palindromic one. Both symmetries constrain half of the
rows. But, at least in my experience, a rotationally
symmetric extent (that's not also palindromic) feels a much
tougher proposition than a palindromic one.
More information about the ringing-theory