[r-t] Extent of major / winking up
Earisp at rsc.org
Fri Feb 19 14:31:41 UTC 2010
"Winking up" is a way of expanding a method from stage n to stage 2n. I talked about the concept briefly before Christmas (http://www.changeringing.co.uk/wiki/index.php/Compositions_of_the_Decade_9_-_Maximus)
When winking up, each bell at the lower stage become a pair of bells at the higher stage. This pair double dodge together (when their corresponding bell at the lower stage would make a place), or do four changes of plain hunt (when their corresponding bell at the lower stage would change places).
The concept is simple, and it's a lot easier to get your head with a worked example. Eg a lead of plain bob minimus has the notation -4-4-4-2. To wink this up to an 8-bell method, each cross in the minimus notation becomes -45-45, each 14 in the minimus becomes -36-36, and the 12 change in the minimus becomes -58-58.
So the notation for a lead of the winked up version is: x45x45x36x36x45x45x36x36x45x45x36x36x45x45x5x5. The course is clearly four times as long as the minimus parent, ie 96 changes.
Now I'm wondering what neat extents of major can be created using winked up minimus as the base? Presumably it should be possible to start with the above, swapping all possible pairs of bells at some point, etc. Examples requested!
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