Difference between revisions of "Extents"
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(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 …') |
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− | 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 | + | 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: | + | *for 5 bells the extent is: 5! = 5 x 4 x 3 x 2 x 1 = 120 rows |
− | *for 7 bells the extent is: | + | *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: | + | 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: | + | *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]] | [[Category:Terminology]] |
Latest revision as of 13:26, 8 March 2010
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 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