[r-t] Minimum calls in mx maximus

[Roddy Horton]

10 leads of Orion with a bob in 34 at the end gives a 12part peal of 5280 with 12 calls.
Roddy
  ----- Original Message ----- 
  From: Richard Pullin 
  To: ringing-theory at bellringers.net 
  Sent: Tuesday, September 29, 2009 7:53 AM
  Subject: [r-t] Minimum calls in mx maximus


  What is the minimum number of calls possible in an Mx maximus method for a peal of at least 5040 changes?
  1.) Result without singles?
  2.) Result with singles?

  I did a little bit of experimentation and came up with a 1 part 5088 with 18 calls:
  M W H
  - - - 65432
    -   36452
  - -   54263
  - -   62345
  - -   43526
  -   - 65324
  - 2 - 45236
    - - 23456

  Presumably a theme needs to be employed such as the M,W in this composition.
  I have also seen an elegant 2 part of Kent, which also uses only 18 calls, by Don.



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