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   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.
Ropes
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
  --------------