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MEROLOGY
edited by Michael Joseph Halm
copyright 1978-2006 Hierogamous Enterprises
This is Joyce's new merology, an improved version of the old unreliable numerologies, in which number names correspond to the numbers they name, up to centillion, ten-to-three-hundred-threeth,.
a = (2^-4)(3^-2)(7^-1)(11^3) = 1331/1008
b = 2(5^3) = 250
c = (2^16)(3^7)(5^19)(11^2) = 330,783,750,000,000,000,000,000
d = (2^43)(3^-15)5 = 43,980,465,111,040/14,348,907
e = (2^-2)(3^2)(11^2) = 1,089/4
ec = (2^27)3(5^-2)(7^-1)(11^2) = 48,721,035,264/175
en = n = 2(5) = 10
ex = (2^13)(5^16)11 = 13,750,000,000,000,000
f = (2^-1)11 = 11/2
fi = 2(5)(11^-1) = 10/11
fo = (2^4)5(11^-2) = 80/121
g = (2^3)(3^-2)(5^-1) = 8/45
h = 3
i = (2^3)5(11^-2) = 40/121
in = -1(2^2) = -4
j = 55/1842
l = (2^7)(3^-2)(5^-1)(11^-2) = 128/5445
ll = (3^2)5(11^6) = 79,720,245
lv = (2^4)(3^-1)5(11^2) = 968/3
m = 2^-2 = 1/4
n = en = 2(5) = 10
ne = (2^-3)(3^2)(5^-2)(11^2) = 1089/200
nov = (2^27)(5^24) = 8,000,000,000,000,000,000,000,000
o = (2^3)(3^-2)(5^19)(7^-1)(11^-1) = 152,587,890,625,000/7,623
p = (2^18)(3^-2)(5^19)(7^-1)(11^-1) = 5,000,000,000,000,000,000/693
pl = + 1 +
q = (2^8)(5^8) = 100,000,000
re =(2^2)(3^-2)(11^-2) = 8/1089
s = (5^-1)7(11^-1) = 7/55
t = 1
te = +
ti = (2^4)(3^-2)(7^-1)(11^-1) = 16/7623
tr = (2^2)(5^4) = 2500
u = 1
ua = 189/13456
ui = (2^3)(5^5) = 25000
us = - 1 +
v = 2(3^2)(11^-1) = 18/11
w = (2^-2)(3^2)(5^-2)(11^2) = 1,089/100
we = 5^-1 = 1/5
x = (2^-2)3(7^-1)(11^3) = 3993/14
y = 10 +
z = -1(2^-1)5(11^2) + = -605/2 +
which gives us results such as:
zero = -605/2 + (1,089/2)(121/20)(200/1,089) = 0
one = (200/1,089)(1,089/200) = 1
two = 1(1,089/100)(200/1,089) = 2
three = (1)3(4/1,089)(1,089/4) = 3
Joyce = 136,125(1,016)(1,089/4) + (55/1842)(200/1,089)10
= 370,600,312,500,000,000,000,000 5,000/91,179
zillion = 3,999,697.5
a simpler, older, smaller ranged, purely additive version has:
a = 947.5 o = -7
b = 1,000,000,010 q = 999,999,999,999,016
c = 10^303 r = -6
d = 44.5 s = -1
e = 3 t = 2
f = 9 u = 8
g = 6 v = -3
h = 1 w = 7
i = -4 x = -11
l = 0 y = 25
m = 1,000,010 z = 10
n = 5
zero = 10 + 3 - 6 - 7 = 0
one = -7 + 5 + 3 = 1
thousand = 2 + 1 - 7 + 8 - 1 +947.5 + 5 + 44.5 = 1000
million = 1000010 - 4 +0 + 0 - 4 - 7 + 5 = 1000000
billion = 1000000010 - 4 +0 + 0 - 4 - 7 + 5 = 1000000000
quadrillion = 999999999999016 + 8 + 947,5 + 44.5 - 6 - 4 +0 + 0 - 4 - 7 + 5 = 1000000000000000
centillion = 10^303 + 3 + 8 + 2 - 4 +0 + 0 - 4 - 7 + 5 = 10^303
Andre = 994
but it gives some erroneous values such as thirteen = 6.
"Merology" was coined by Lee Sallows who also used the base-27 system (see Septemviginaries) in which space = 0, A = 1, B = 2, . . . , Z = 26, so we get:
zero = 515,904
one = 11,318
two = 15,216
three = 10,799,546
one hundred = 3,196,540
Joyce = 5,627,966
Andre Joyce = 313,969,444,118,456
zillion = 10,208,693,345
Alternatively the base-36 system (see Sexatrigintaries), an extrapolation of base 16, includes both letters and numbers:
ZERO = 46,158
ONE = 1,108
TWO = 1,388
THREE = 1,376,182
JOYCE = 918,926
ZILLION = 2,147,557,151
CP3O = 160,827
R2D2 = 842,546
A base-62 system could logically include both spaces and numbers, upper and lower cases, say with A, . . ., Z = 10, . . . , 35, a, . . ., z = 36, . . ., 61, space = decimal point:
zero = 14,695,104
one = 195,278
two = 215,066
three = 823,152,836
Joyce = 292,899,820
Andre Joyce = 159,594,674.29289982
zillion = 3,505,830,076,725
CP3O = 183,285,788
R2D2 = 6,443,352
Any of these can in turn be turned into yet another variation, pnumerology, which evaluates strings of letters, numbers and/or spaces into palindromic numbers like
zillion = 102,086,933,454,339,680,201 or 2,147,557,151,517,557,412 or 3,505,830,076,725,276,700,385,053.