[r-t] Unprinciple extent!
mark at snowtiger.net
Thu Jul 14 11:01:37 UTC 2011
Awesome, Ander. All the lines are widely separated, so completely
divorced from the early constructions types. Moreover, unlike my
example, it's true, forms an extent, and looks like quite a pleasant
thing to ring (if challenging). I look forward to seeing a handbell peal
in next week's RW!
The only slight disappointment is that your composition, and your calls,
do not mix up the two groups of bells. On the other hand, maybe this
reinforces the beauty of an unprinciple: two sets of bells never ringing
each other's place bells, but yet still doing the same work, and now
generating the extent.
Here's a Major one I found.
56.18-18-18-18. 56.18-18-18-16 -18-18-18-16 -18-18-18-18
The following seems to be a good constructional idea:
1. Pick a block of changes A which swap your two groups of bells around,
e.g. taking 12345678 to 65872143. You can see that the group (5768) ends
up where the (1234) were, and vice versa. It's important that the order
within the group is changed around a bit, so that AA doesn't come round.
2. If you then ring AA as a method you get a "subprinciple" in which all
the bells do the same work. However its not an unprinciple because
obviously we have a smaller repeating unit of place notation, A.
3. So you modify block A slightly, by rotating one group of bells only.
This gives you B. In the above example, if A produced 65872143, B might
4. Now if you ring AABB you have an unprinciple. It can't be reduced to
a smaller principle, and it generates identical lines for both groups
since the only place A and B differ is in the rotation within the group,
and this affects both groups.
This seems quite a good way to construct unprinciples, but it does have
the disadvantage that the blueline is quite samey and repetitive. In
retrospect this is probably what would make Ander's unprinciple extent
difficult to ring!
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