[r-t] Avalon Delight Maximus

Philip Earis Earisp at rsc.org
Fri Feb 15 10:38:22 UTC 2013

It's good to see a new cyclic maximus method, Avalon Delight, has been rung by the Bristol band (http://bb.ringingworld.co.uk/view.php?id=275725)

Avalon Delight	-5T-14.5T-5T.30.14-70.1T.36-9T.30.18-18.9T-18-1T-18-9T.18-38.1470.9T.16.9T.58.14.7T.14.369T.50-5T.14-5T-1T = 134567890ET2

Avalon uses rotational symmetry to get to the cyclic leadhead, a concept first used by MBD's Brave New World royal, and perfected (smiley thing) by Anglia Cyclic Bob Major [-1-2367-1-7-5-36-4-2 = 18234567]

Such rotational symmetry can be thought of as ringing two independent half-leads of different double methods.  With Avalon, the first half-lead is Avon Delight, bringing in lots of runs. The second half-lead is rather disappointing though, with fairly limited music (see the big contrast in run-rows in the two half-leads highlighted at: <http://ringing.org/main/pages/method?notation=-5-4.5-5.30.4-70.1.36-9.30.8-8.9-8-1-8-9.8-38.470.> )

A quick way of comparing the musical punch a cyclic method packs is by comparing the <4-runs> in the plain course (ie the count of incidences of 4 or more consecutive bells, not including wrap-arounds like ET23). Avalon scores 343 on this measure.

Clearly there are a huge number of alternative possibilities for the second half-lead, almost infinite diversity in infinite combinations. I may be missing something, but I'm not sure why Avalon was selected over some of the more musical choices, such as:

-5-4.5-5.30.4-70.1.36-9.30.8-8.9-8-	1T234567890E	(505 <4-runs>)
-5-4.5-5.30.4-70.1.36-9.30.8-8.9-8-				1T234567890E	(488 <4-runs>)
-5-4.5-5.30.4-70.1.36-9.30.8-8.9-8-1-4.50.369.			14567890ET23	(442 <4-runs>)
-5-4.5-5.30.4-70.1.36-9.30.8-8.9-8-1.30.4-3.4-8.30.4-4.58.9-9.30.5-9.0-9.30.1					134567890ET2	(454 <4-runs>)

The first of these packs in impressive runs (including some reverse runs). The third has good fluidity. Another alternative that is perhaps more similar to Avalon (but with more music) is:

-5-4.5-5.30.4-70.1.36-9.30.8-8.9-8-1-8-9.38-8.7-						134567890ET2	(375 <4-runs>)

In any case, I'm glad people are still playing around in the cyclic field.  There's huge fun to be had here, especially with fluid plain methods. The "offset cyclic" methods (with palindromic symmetry but rung starting at the snap), as trialled in Oxford occasionally in recent years, are also worth a look.


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