Falsest Method
What is the falsest TD Major method?
Stephen Penney asked (a paraphrase of) this question in April 2005. Richard Smith provided the answer.
Most False Course-Heads (FCHs)
Ignoring Double Darrowby (which has ABCDEFKLMPTUabcd falseness, but also has a course six times as long as a standard Surprise Major method), a Treble Dodging Major method can have up to eight falseness groups. Having both T and U (the only groups with eight in-course tenors-together FCHs) is necessary to be maximally false. Of the 11,115,834 Surprise methods with vaguely sensible properties (regular, no sevenths above the treble, no single changes, no more than two consecutive blows in one place, and a true plain course), 25,549 have both T and U falseness.
There are six further groups (M,N,O,P,R,S) with four in-course tenors-together FCHs. In practice you can only get three of these simultaneously with T and U, and there are 17 such methods. The best you can then do is E and L, giving AELMNRTU falseness, and 33 FCHs (not including rounds, from the A falseness).
There are four such methods:
&36-3.4-5.2.36-4-345.6-36.5,2 &36-3.4-5.2.36-4-345.6-36.5,1 &36-3.4-5.2.36.4-234.5.4.36.2.5,2 Taumatawhakatangihangakoauauotamateapokaiwhenuakitanatahu Surprise Major &36-3.4-5.2.36.4-234.5.4.36.2.5,1
Only one , the third above, has been rung this was at Huntsham Devon on the 10th May 2010 to a composition by Robert D S Brown and Conducted by Timothy F Collins.
5376 Taumatawhakatangihangakoauauotamateapokaiwhenuakitanatahu Surprise Major Comp Robert D S Brown
V B M W F H 2345678 -------------------- - - - 2736458 - - - 2574368 - - s - 2345768 -------------------- - - - 2637458 - - - 2564378 - - s - s 2435678 -------------------- - - - 2746358 - - - 2573468 - - s - - 3245768 -------------------- - - - 3627458 - - - 3564278 - - s - s 3425678 -------------------- Repeat twice contains 24 5678’s Queens and Backrounds
Additionally Don Morrison has produced a composition for the second of them:
5,088 'Unnamed' Surprise Major by Donald F Morrison
234567 M T V W M B H ---------------------------- 35246 s s s - 54623 s s - (724653) s s - - 642753 s s 632457 - 34526 s s - 42653 s s - 523746 s - s 625437 - - 42356 s s s ---------------------------- Repeat twice. Fourths-place calls. Contains no backstroke 87s, and is all the work. 'Unnamed' (36x3.4x5.2.36x4x345.6x36.5 lh k fch AELMNRTU)
True Composition to some of the Falsest Methods
The most in-course, tenors-together FCHs for which a universal peal composition (with common bobs only) is listed on Philip Saddleton's universal peal compositions website, http://www.saddleton.freeuk.com/comps/universe.htm, is six (groups ABCDK). There are 38,074 methods with just this falseness, and compositions exist for all of them.
A J Cox has produced a universal composition for groups ABDEGINORTbfXYZ (29 in-course, tenors-together FCHs) using only a single type of call (1256 single in 2nds place methods, 1458 in 8ths place ones). The version below is for lead end e.
5376 (5152) true to ABDEGINORTbfXYZ by Anthony J Cox
2345678 2 3 4 5 7 ---------------------- 8675423 s 6587234 s \}a 5768234 9a 4238657 s 4236857 s 3427865 s s \}b 3428765 s \} 2345678 10b ---------------------- s=1256. Omit one pair of singles 7 leads apart for 5152.
The falsest method that can be rung to the above composition is the unnamed
&3-36.4-5.2.3.2-4.3.4.36.2.3
with 27 in-course, tenors-together FCHs (falseness groups ABDEGNORT), found by Philip Saddleton.
Falsest method yet rung
Again ignoring Double Darrowby, the rung method with the most in-course tenors-together FCHs is now Taumatawhakatangihangakoauauotamateapokaiwhenuakitanatahu Surprise Major with AELMNRTU falseness, and 33 FCHs (not including rounds, from the A falseness). The top 15 are:
33 Taumatawhakatangihangakoauauotamateapokaiwhenuakitanatahu S AELMNRTU 19 Wollaton S ABDEKNTac 18 Jesus College S ABDLOUcd 18 Enderby S ADNOT 18 Corpus Christi College S ADFKMT 17 Coney Street S ABEGOTac 17 Bendigo S ABDEGINO 16 Pall Mall S ADFGHTb 16 Kings Cross S ADEMORa 15 Romsey S ABDNUe 15 Revelstoke S ABDPU 15 Ranmore S ABENTd 15 Peterhouse S ADELMNe 15 Freezywater D ABDEKTc 15 Antigua S ABENTc
Rung Treble Bob methods are way down the list. The falsest are Noxious (ABDKPa) and Jupiter (ABFKNad), both with 9 FCHs. Methods
