PABS Magic 720 | Ringing Homepage Email me |
Philip Saddleton has produced an incredibly elegant extent of minor, the 'magic 720'.
The extent has been used to increase the record for the number of treble-dodging minor methods in a peal of seven extents, up to 349. |
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The composition effectively has the same over-work &
underwork for a whole lead, but obviously out of phase. There are five 6-lead splices to the working bells pivoting at the half-lead, and also another five 6-lead splices to the pivot bell making 2nds at the lead-end. This gives an extent in 20 methods with 5 under works and 5 over works. The first peal consisting of magic blocks was rung in December 2003.
There can be problems in classifying the methods! It's marvellous, and I've not seen anything like it before:
720 Spliced Surprise Minor (20m) - PABS 23456 ah eh- 52463 ef bf 36542 bh eh- 53426 eg dg 65432 df cf 42356 cg eg 52346 ef df 65324 dh-ah 24536 aj dj 63254 dh-eh- 56432 ei bi- 32456 bj dj 64352 df bf 34652 bj aj 25634 ai ci 46253 cf ef 56243 ei ci 46532 cj-dj 62453 dg cg 43526 cj-bj- 32645 bh dh 65243 dg ag 23645 ai ei 53642 eg ag 23564 aj cj 45236 cf bf 35462 bi ai 26435 ah bh 32564 bi ci 46325 cg ag 23456 -=12 at lh and 56 at hl 36 each method, change of method at each half lead. ag= 3-5.4-2-3.4-4.1 lh2 ah=1990 3-5.4-2-3.2-4.5 lh2 (Garsington) ai=1984 3-5.4-2-3-4-5 lh2 (George Orwell) aj=1995 3-5.4-2-3.4-34.5 lh2 (Anno Domini) bf= 52 -34-4-2-3-34-5 lh2 (Rhyl) bh= 56 -34-4-2-3.2-4.5 lh2 (Bamborough) bi= 50 -34-4-2-3-4-5 lh6 (Bedford) bj= 72 -34-4-2-3.4-34.5 lh6 (Northorp) cf=1871 3-3.4-2-3-34-5 lh2 (Minehead) cg=1881 3-3.4-2-3.4-4.5 lh2 (Brampton) ci=1869 3-3.4-2-3-4-3 lh2 (Cunecastre) cj=1882 3-3.4-2-3.4-34.1 lh2 (Wells) df=1533 34-3.4-2-3-34-5 lh2 (Grantham) dg=1544 34-3.4-2-3.4-4.5 lh2 (Netherwood) dh=1536 34-3.4-2-3.2-4.3 lh2 (Melton) dj=1547 34-3.4-2-3.4-34.5 lh2 (Chester) ef= 480 -3-4-2-3-34-5 lh2 (Appleby) eg= 499 -3-4-2-3.4-4.5 lh2 (Eastwood) eh= 488 -3-4-2-3.2-4.5 lh6 (Coverleigh) ei= 473 -3-4-2-3-4-5 lh2 (Cambridge)I think the composition is best rotated, eg starting from leadhead 156432 gives zero 65s at back (as opposed to PABS' 6). The composition is quite rule-based, with the same under/overwork when a particular bell is pivoting. What's more, you've huge potential for splicing in very large numbers of treble-dodging methods, as each under/overwork is very interchangeable... Letter choices (options on same line are lead-splices so can be interchanged at will within same extent): a 34-34.6, -34-6, -5-6, 56-34.6 3-5.4 -3-456 b,c -34-4, 34-5.4, -5-4, 5-5.4, -34-456, -5-456 -3-6 3-3.4 d,e 3-34.6 -3-4 34-3.4, 5-3.4 For underworks, just reverse the overworks: h=a reversed f=b reversed i=d reversed etc Richard Smith has developed the idea the produce the 'Smith Magic 720', which is a three part PABS 720. Richard writes: For 3-part comps using this plan, you need three over works and three under works, however only 7 combinations of these are used. To get a set of 7 real methods, rather than having to have pretend half-lead calls, it is easiest to choose overworks with the same effect -- e.g. Cambridge/ Carlisle/Castleton, Norwich/London/Ely, or Kent/Oxford. To get a composition with at just 3 Homes in this manner, a mixture of regular and irregular methods are necessary. Here are comps using Cm/Cl/Cs and two using No/Lo/El: 123456 af fb -------------- 154236 bh ha af fa = Cambridge S (216 changes) 142635 af fa ag ga = Hatfield S (108 changes) 135264 ag ga ah ha = Burslem D (108 changes) 146532 ah ha bf fb = Carlisle S (108 changes) 132654 af fb bh hb = Glastonbury D (36 changes) 156324 bf fc cf fc = Croome d'Abitot D (108 changes) 163452 cf fa cg gc = Beeston D (36 changes) 125346 ag gc 164532 cf fa - 142356 -------------- 3 part 123456 af fb -------------- 153264 bh ha af fa = Brampton S (216 changes) 126354 af fb ag ga = Minehead S (108 changes) 156243 bf fc ah ha = Combermere D (108 changes) 164253 cf fa bf fb = Linden S (108 changes) 132546 ag ga bh gh = Old Oxford D (36 changes) 145623 ah ha cf fc = Dunedin D (108 changes) 136245 af fa cg gc = Bogedone D (36 changes) 142563 ag gc 165342 cf fa Minehead, Combermere, Old Oxford and - 142356 Bogedone each have several lead -------------- splices. 3 part 123456 ag ga -------------- 142635 af fa af fa = Luton S (216 changes) 125463 ah hb ag ga = Bamborough S (108 changes) 156432 bf fa ah ha = Linden S (108 changes) 136524 af fb bf fb = Bakewell S (216 changes) 162543 bg ga bg gb = Kelso S (36 changes) 136245 af fb bh hb = Brampton S (36 changes) 164253 bf fb 152346 bf fa Luton and Bakewell each have several 142563 ah ha lead splices. - 142356 -------------- 3 part Lead-splices can be easily added for Luton and Bakewell. Kent/Oxford is rather more dull as the seconds place versions of these overworks are so similar, but here's a comp in any case: 123456 af fb -------------- 153642 bh ha af fa = Barham D (216 changes) 142635 af fa ag ga = Barnsley TB (108 changes) 135264 ag ga ah ha = Pembroke D (108 changes) 146532 ah ha bf fb = Darton Exercise D (216 changes) 132654 af fb bg gb = Duke of Norfolk TB (36 changes) 152463 bf fb bh hb = Nosbell D (36 changes) 164325 bf fa 125346 ag gb Barnsley, Pembroke, Duke of Norfolk 165423 bf fa and Nosbell each have lead splices. - 142356 -------------- 3 part Notwithstanding the comment above, it is possible to get 3-part compositions with only 3 bobs Home using just regular methods: it's just a rather less formulaic exercise. Here are two such compositions. 123456 af fc -------------- 164325 cf fb af fa = Combermere D (216 changes) 156243 bf fa ag ga = Kelso S (216 changes) 124653 ag ga bf fb = Old Oxford D (108 changes) 136524 ag ga bg gb = Bamborough S (36 changes) 145236 af fc cf fc = Duke of Norfolk TB (108 changes) 162543 cg ga cg gc = Conisbrough D (36 changes) 135264 af fa 142635 ag gb Combermere, Old Oxford and Duke of 154236 bf fa Norfolk each have several lead splices. - 142356 --------------- 3 part 123456 af fa -------------- 156342 ah ha af fa = Peveril D (324 changes) 142635 af fa ag ga = Chelsea D (108 changes) 135264 ag gb ah ha = Mendip TB (144 changes) 165234 bf fa bf fb = Wilmslow D (108 changes) 145236 ag ga bg gb = Dunedin D (36 changes) 136524 ah ha 124653 af fa 153462 af fb Peveril and Wilmslow both have several 163452 bf fa lead splices. - 142356 -------------- 3 part Sorry about the method balance in the latter composition -- it's the best I can manage. (Though it's easy enough to vary which over/under-works are over represented and which under.) Of course it isn't just 56hl underworks and 12le overworks that have six-lead splices, even if most are. For a one-part comp when you ideally want five underworks, this is enough of a problem to rule out other over/under works, but in a three-part comp, this is no big issue. For example, 123456 ag ga -------------- 142563 af fa af fa = Cotswold TB (216 changes) 126435 ag gc ag ga = Bradpole D (216 changes) 164523 cf fa bf fb = Sprotborough D (108 changes) 135642 af fb bg gb = Ipswich S (36 changes) 154362 bg ga cf fc = Kirkburton D (108 changes) 135264 af fb cg gc = Whitley S (36 changes) 156324 bf fc 163254 cf fa 142635 ag ga - 142356 -------------- 3 part And then there are plenty of things besides 6-lead splices that can be done below the treble. How about putting this grid-like splice under? 123456 ah hb -------------- 153264 bi ia af = Cambridge S (72 changes) 126354 ah hb ag = Ipswich S (72 changes) 156243 bf fb ah = King Edward S (144 changes) 164532 bf fa ai = Bourne S (108 changes) 145236 ag ga bf = Carlisle S (144 changes) 124653 ai ia bh = Lindley S (72 changes) 136524 ah ha bi = Sandiacre S (36 changes) 125463 af fb 164253 bf fa 142356 -------------- |