[r-t] Double Treble-Bob Maximus Methods

[Andrew Johnson]

Philip Earis' series on compositions of the decade reminds me that Brian 
Price wrote a paper on 'Double Treble-Bob Maximus Methods' in June 2007.

He sent me a printed version and  these are my brief notes from the paper.

(a) Highly desirable: Not more than 4 places to each change, no long 
places at bobs

(b) Plain bob lead ends - gives coursing pairs which are musical 3rds 
(apart from 23 - discordant semi-tone in maximus and ET - very desirable 
at right stroke behind)

(c) roll-ups at backstroke

Then he did a tree search - 61 different changes (excluding 12 or ET or 
those + extra pair of places) to generate rows 2 to 16 of the first 
quarter-lead, though only some allow a treble bob path, and evaluated the 
result:

closeness - count of coursing pairs adjacent or with only one bell between 
- thought to sound nice

run coefficient - 4 points for 4 bells, 5 points for 5 etc. - but easily 
adjusted

stagnation coefficient - longest time bell in same pair of positions - 
taken as an upper limit for method consideration, not a detriment to 
musicality. Upper limit 24. (See SuperStag with 88 blows and 19-pull 
dodges!)

music = X clo + Y runs
X=1, Y=1, but you could adjust this

The methods:

Sweetie Delight
&3456x3456.1t.5678x5678.1tx78x58x56x1t.5678x5678.1t.7890x7890.1t,1t
stag = 12 clo = 114 run = 460 mus 574 swi = 9 ctgy = h

Capital Delight
&3456.7t.38.14x5678x1tx78x58x56x1tx5678x9t.50.16.7890.1t,1t
stag=14, clo = 113, run = 456, mus = 569, swi = 9, ctgy = h

Zany Treble Bob
&5678x5678.1t.5678x5678.1t.78x78.1t.56x56.1t.5678x5678.1t.5678x5678.et,12
stag = 16 clo = 112 run = 446 mus = 558 swi = 9 ctgy = b

Ecstatic Surprise
&3456.7t.38.14x5678x1678x78x58x56x567tx5678x9t.50.16.7890.1t,1t
stag = 18 clo = 111 run = 444 mus = 555 swi = 7 ctgy = j1

Engaging Surprise
&3456.7t.38.14.5678x7t.16x7tx58x16x7t.16x5678.9t.50.16.7890.1t,1t
stag = 18 clo = 114 run 436 mus = 550 swi = 7 stgy = j1

Luscious Surprise
&3456.7t.38.14.5678x7890.16.7890x7t.58.16x3456.7t.3456x5678.9t.50.16.7890.1t,1t
stag = 20 clo = 112 run = 436 mus = 548 swi = 5 ctgy = k2

Sugary Delight
&x56x14.78x58.36x7tx1tx16x70.58x56.9tx78x1t,1t
stag = 20 clo = 109 run = 414 mus = 523 swi = 7 ctgy = j1

Lollipop Delight
&x56x14.78x58.36x7tx1tx16x70.58x56.9tx78xet,12
stag = 24 clo = 109 run = 414 mus = 523 swi = 5 ctgy = d2

Nectar Delight
&5678x5678.1tx5678x38.7t.34.7t.58.16.90.16.50x5678x1t.5678x5678.1t,1t
stag = 15 clo = 110 run = 410 mus = 520 swi = 1 ctgy = mx

[Bristol Surprise]
stag = 15 clo = 113 run = 406 mus = 519 swi = 7 stgy = mx

Honeyed Surprise
&x56x14.78x58.367tx78x58x56x1670.58x56.9tx78x1t,1t
stag = 20 clo = 108 run = 410 mus = 518 swi = 5 ctgy = k2

Pleasant Surprise
&78x78.14x7tx36.7tx7t.58.16x16.70x16x9t.56x56.1t,1t
stag = 15 clo = 107 run = 408 mus = 515 swi = 1 ctgy = mx

Delectable Surprise
&7890x7890.14 x7tx36.7tx7t.58.16x16.70x16x9t.3456x3456.1t,1t
stag = 15, clo = 107, run = 408, mus = 515, swi = 1, ctgy = mx

Tip-Top Surprise
&x9tx14.9t.5678x3678.14.78x58x56.9t.5670x5678.14.9tx14x1t,1t
stag = 24 clo = 109 run = 396 mus = 505 swi = 1 ctgy = mx

Dulcet Surprise
&x7tx18x5tx167tx78x58x56x167tx18x5tx16xet,12
stag = 16 clo = 112 run = 392 mus = 504 swi = 9 ctgy = b

[Yorkshire Surprise]
stag = 20 clo = 122 run = 352 mus = 474 swi = 9 ctgy = b

SuperStag Surprise
&x56x14x56x36x3490x58x3490x70x78x9tx78xet,12
stag = 88 clo = 104 run = 334 mus = 438 swi = 1 ctgy = f




Andrew Johnson






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