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Falsest Method

2010-03-08T13:36:46Z

Mouthisi:

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
&36-3.4-5.2.36.4-234.5.4.36.2.5,1

Unsurprisingly, they've never been rung, but 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 any of them with a seconds-place lead-end.

A J Cox has produced a universal composition for groups ABDEGINORTbfXYZ (29 in-course, tenors-together FCHs), but this does not use common bobs or singles:

5376 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.

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 Wollaton Surprise with ABDEKNTac falseness (19 FCHs, not including rounds). The top 14 are:

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.
[[Category|Methods]]

Extents

2010-03-08T13:26:00Z

Mouthisi:

An Extent in ringing is the total number of possible [[row]]s that can be achieved on a particular [[stage]]. The total is found by simply applying n!, where 'n' is the total number of non-stationary bells.

*for 5 bells the extent is: 5! = 5 x 4 x 3 x 2 x 1 = 120 rows
*for 7 bells the extent is: 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040 rows

for little methods the extent is: h(n-1)! where 'h' is the number of places the hunt bell reaches:

*for Little Bob Major, the extent is: 4 x 7! = 4 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 20,160 rows
*for Littleport Little Surprise Royal, the extent is: 8 x 9! = 8 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 2,903,040 rows

[[Category:Terminology]]

Extents

2010-03-08T13:21:32Z

Mouthisi: Created page with 'An Extent in ringing is the total number of possible rows that can be achieved on a particular stage. The total is found by simply applying <math>n!</math>, where 'n' is …'

An Extent in ringing is the total number of possible [[row]]s that can be achieved on a particular [[stage]]. The total is found by simply applying <math>n!</math>, where 'n' is the total number of non-stationary bells.

*for 5 bells the extent is: <math>5! = 5 x 4 x 3 x 2 x 1 = 120 rows</math>
*for 7 bells the extent is: <math>7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040 rows</math>

for little methods the extent is: <math>h(n-1)!</math> where 'h' is the number of places the hunt bell reaches:

*for Little Bob Major, the extent is: <math>4 x 7! = 4 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 20,160 rows</math>

[[Category:Terminology]]

Peal

2010-03-08T13:07:00Z

Mouthisi:

A Peal is a ringing performance which contains a set number of changes ([[row]]s). The Peal is started and ends in rounds with the number of rows in a Peal being defined as:

* 5040 changes made up of true [[extents]] on 6 bells or less
* 5040 changes made up of one true extent on 7 bells (ie. no rows repeated between start and end)
* over 5000 changes on 8 or more bells, with no repeat of rows between start and end

A Peal is rung complying to a strict guideline set by the [[Central Council]]. It lasts around 3 hours, with light bells and handbells taking a lot less time (maybe as little as 2 hours and 30 minutes on light bells) to as long as 4 hours on the heavier rings.

[[Category:Terminology]]

Peal

2010-03-08T13:03:00Z

Mouthisi:

A Peal is a ringing performance which contains a set number of changes (rows). The Peal is started and ends in rounds with the number of rows in a Peal being defined as:

* 5040 changes made up of true extents on 6 bells or less
* 5040 changes made up of one true extent on 7 bells (ie. no rows repeated between start and end)
* over 5000 changes on 8 or more bells, with no repeat of rows between start and end

A Peal is rung complying to a strict guideline set by the Central Council. It lasts around 3 hours, with light bells and handbells taking a lot less time (maybe as little as 2 hours and 30 minutes on light bells) to as long as 4 hours on the heavier rings.

[[Category:Terminology]]

Peal

2010-03-08T13:02:32Z

Mouthisi:

A Peal is a ringing performance which contains a set number of changes (rows). The Peal is started and ends in rounds with the number of rows in a Peal being defined as:

* 5040 changes made up of true extents on 6 bells or less
* 5040 changes made up of one true extent on 7 bells (ie. no rows repeated between start and end)
* over 5000 changes on 8 or more bells, with no repeat of rows between start and end

A Peal is rung complying to a strict guideline set by the Central Council. It lasts around 3 hours, with light bells and handbells taking a lot less (maybe as little as 2 hours and 30 minutes on light bells) to as long as 4 hours on the heavier rings.

[[Category:Terminology]]

Peal

2010-03-08T13:01:54Z

Mouthisi:

A Peal is a ringing performance which contains a set number of changes (rows). The Peal is started and ends in rounds with the number of rows in a Peal being defined as:

* 5040 changes made up of true extents on 6 bells or less
* 5040 changes made up of one true extent on 7 bells (ie. no rows repeated between start and end)
* over 5000 changes on 8 or more bells, with no repeat of rows between start and end

A Peal is rung complying to a strict guideline set by the Central Council. It lasts around 3 hours, with light bells and handbells taking a lot less (maybe as little as 2 hours and 20 minutes on light bells) to as long as 4 hours on the heavier rings.

[[Category:Terminology]]

Peal

2010-03-08T12:54:51Z

Mouthisi: Created page with 'A Peal is a ringing performance which contains a set number of changes (rows). The Peal is started and ends in rounds with the number of rows in a Peal being defined as: * 5040 …'

Principle

2010-03-08T12:39:00Z

Mouthisi:

Changes in ringing that include all the working bells where each bell completes the same [[blue-line]]. A principle therefore has no [[hunt]] bell(s) but can have a tenor covering behind, eg. [[Stedman]], [[Erin]], etc.

[[Category:Terminology]]

Principle

2010-03-08T10:55:11Z

Mouthisi:

Principle

2010-03-08T10:53:33Z

Mouthisi:

Changes in ringing that include all the working bells where each bell completes the same [[line]]. A principle therefore has no [[hunt]] bell(s) but can have a tenor covering behind, eg. [[Stedman]], [[Erin]], etc.

Principle

2010-03-08T10:52:38Z

Mouthisi: Created page with 'Changes in ringing that include all the bells where each bell completes the same line. A principle therefore has no hunt bell(s) but can have a tenor covering behind, eg.…'

Changes in ringing that include all the bells where each bell completes the same [[line]]. A principle therefore has no [[hunt]] bell(s) but can have a tenor covering behind, eg. [[Stedman]], [[Erin]], etc.