1877.] 
G. E. Fryer —Pali Studies. — No. 2. 
409 
as 10 can be halved set down a breve . y-f 
as 5 without an additional unit cannot be 
halved set down a long, 
as 3 an odd number requires a unit set down 
a long, 
as 2 can be halved set down a breve. 
as 1 being an odd number requires a unit 
set down a long, 
as 1 again requires a unit set down a long,.. 
The structure, then, of the 10th row of the Gayatti is v-/-w-• 
v. 130. This rule is the converse of the preceding. Given the structure, 
to determine the row number. Let v-' —• — ^ — *— be taken as 
the structure of a variation in a metre having quarters of six 
syllables. Commencing at the first syllable place under each 
syllable, numbers in geometrical progression from one, thus : 
xy-^- 
1 2 4 8 16 32 ; 
the sum of the numbers beneath the short syllables 
j plus one, gives the row number, e. y. : 1 + 8 -f 1 = 10 ; and we have just 
seen that this structure corresponds with the 10th variation of the Gayatti. 
v. 131. This rule determines the number of variations containing no long 
quantity, or one long, or two longs, or all longs. Units are to be 
placed, vertically one over the other, in succession equal to the 
number of syllables the metre has in each quarter pltts one ; thus 
the Gayatti having six syllables, seven units are set down vertically 
one over the other ; each succeeding column must be one less in 
number than the one preceding it ; in each of the columns succeed¬ 
ing the first (which all commonce with a unit) there is a rising, 
and in this fashion : after writing the first unit of each column, 
each following number must be the sum of the number immediately 
to its left in the preceding column plus all those below that said 
number ; e. y., in the third column, 3 follows the unit being the 
sum of 2 + 1 of the preceding column, then follows 6 being the 
sum of 3 + 2 + 1, and so on, as in the subjoined table. 
1 one row with all long quantities. 
1 6 six rows with five longs. 
1 5 15 fifteen rows with four longs. 
1 4 10 20 twenty rows with three longs. 
1 3 6 10 15 fifteen rows with two longs. 
1 2 3 4 5 6 six rows with one long. 
1111111 one row with no long quantity, 
v. 132. vemern for va imam. 
