[r-t] New method - Auryn Differential Minor

[Philip Earis]

"I'd like to understand better how this works"

Thanks for this, Ander. I understand Auryn has been generated from "first principles", but aren't you just tweaking around with Morning Star TB variants?  Morning Star is the only one of the "standard" 147 TD minor methods that has the tenor path mirroring the treble, something I like a lot (and mention every time during a handbell peal where Morning Star appears). An 720 is of course trivially obtainable.

There seem to be 6 symmetric minor methods which have the treble-tenor mirror property and which can easily generate an extent by themselves:

&-34-1-2-1-34-1,2 135264 Morning Star Treble Bob Minor
&-34-1-2-1.34-34.1,4 145362 Tuxford Treble Bob Minor
&-34-1-5-1-34-1,2 135264 Rodney's Victory Treble Bob Minor
&-34-1-5-1.34-34.1,4 145362 New Snowdrop Treble Bob Minor
&34-34.1-2-1-34-1,2 142563 Norcroft Treble Bob Minor
&34-34.1-5-1-34-1,2 142563 April Treble Bob Minor

The 2-lead-unit of Auryn seems to effectively be two of these half-lead spliced together (the -25- when the treble/tenor is in 3-4 isn't a problem as you have the same pairs of bells, 2-3 & 4-5, together in the first and second half-lead). Or am I missing something here?

Alternatively, Mike Ovenden's December 2005 message to this list might be phrased in language you're more at home with? :-)
http://www.bellringers.net/pipermail/ringing-theory_bellringers.net/2005-December/001221.html


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