ankAnAm vAmatogatiH

By: Shri Kesava Rao & Smt.Meera Tadipatri
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Shri Hari Vayu Gurubhyo namaH
General rule that is followed by Dasaru,
There are atleast two methods of calculation in this
"aN^kAnAM vAmatogatiH" [counting from right to left].
1. based on the ancient/prAchIna system [prior to Panini].
2. the current "ka-Ta-pa-yAdi" system used in astrology [Panini method?]

1. prAchIna system:[used by Dasaru]

ka=1 kha=2 ga=3 gha=4 ~N=0
cha=1 Cha=2 ja=3 jha=4 ~n=0
Ta=1 Tha=2 Da=3 Dha=4 Na=5
ta=1 tha=2 da=3 dha=4 na=5
pa=1 pha=2 ba=3 bha=4 ma=5
ya=1 ra=2 la=3 va=4 sha=5
Sha=6 sa=7 ha=8 La=9 xa=10

2. kaTapayAdi system: Note there is no La and xa in this system!

ka=1 kha=2 ga=3 gha=4 ~N=5
cha=6 Cha=7 ja=8 jha=9 ~n=0
Ta=1 Tha=2 Da=3 Dha=4 Na=5
ta=6 tha=7 da=8 dha=9 na=0
pa=1 pha=2 ba=3 bha=4 ma=5
ya=1 ra=2 la=3 va=4 sha=5
Sha=6 sa=7 ha=8

Shri Jagannathadasaru uses mainly the _prAchIna_ system i.e., prior to Panini days. The anusandAna is that each 'axara' has specific number of rUpa-s [each axara again has several rUpa-s and so on..]and together every word signifies specific number of Bhagvat rUpa-s. HKS, especially in the fourth sandhi, Dasaru has given bhagavatrUpa-s present in many vastu-s and all these get screwed up if we follow "kaTapayAdi" system.
Also note that some very important axara-s like La, and xa are not used in that system.
For example, take the bhagavat rUpa-s present in pure sweetness like Jaggery known as tIxaNa[HKS 4.5-6]. Shri Jagannathadasaru says it has 5101 rUpa-s[HKS 4.5-6]
tI = 1
xa =10
Na = 5
Using the reverse way/aN^kAnAM vAmatogatiH, they give 5101 -- exactly as per Shri Jagannathadasaru[HKS 4.5 --"aidu sAvira nUrA ondu"]

Firstly, in forming the numbers - 3 groups are made 
S1 vowels - a to aH
S2 - Middle consonants - ka to ma
S3 - secondary consonants - ya, ra, la, va, sha Sha, sa, ha, La kSha


Here for the middle consonants, there are multiple systems -
M1 - Each varga separate (so numbers will always be 1 to 5)
M2 - ka to JNa and Ta to na and pa to ma (3 groups - 1 to 10, 1 to 10, 1 to 5))
M3 - ka to ma one group itself.


In each prakaraNa, they follow one of these systems - in HKS, they are following M1.
Next question is when do we add and when do we juxtapose (just place one next to the other)?
vowels - never juxtaposed , if they come by themselves, they are taken separately.  like Ananda - in that A stands for 2.
If they come along with consonants, they are just "silent". 
Like gI is 3
"ga + I and so 3 + 4 and so 7" - this is not the case. gI is 3 only gU is 3 only gai is 3 only.
That is why da(in Ananda or any other word)  is 3 only and not 3 + 1. dai is 3 only dau is 3 only.

In case of dvitvAkShara (they dont say sajAtIya samyuktAkShara - but effectively that), it is always added. TTa = 1 +1 = 2
nna = 5 + 5 = 10. So anna is 101

In case of samyuktAkShara(two different consonants) , there are 4 possibilities -

S2 + S3 = not juxtaposed (that means added) - this may have rare exceptions - those that have vedic separability
S2 + S2 = mostly juxtaposed (see below - in most of the cases they have vedic separability) - when in doubt just think that they are juxtaposed.
S3 + S2 = not juxtaposed (that means added)
S3 + S3 = not juxtaposed (that means added)

taking one consonant from S2 and another from S3, they are added. Like pra = 1 + 2 = 3  ; rpa = 2 +1 = 3.
If both are from S3, then also added.
If both the consonants come from S2, then, if they have vedic separability, they are juxtaposed -

For ex, pradyumna = pradyumana (as if mna is separated). So 5 and 5 are juxtaposed - not added. 
anusvAra (M)  is zero.
saNkarShaNa can also be seen as saMkaruShaNa ;  Na = 5, Sha = 6, r or ru = 2, ka = 1 M = 0 , sa = 7 - so 562107.

In case of some words, there may be lot of variations. We go to vedic root. 
shrItulasi = shrItuLasi = shrItulashi = shrItuLashI ; the root formation is shrItulashi - shi = 5, la = 3, tu = 1 , shrI = 5 + 2 = 7 = so 5317.

There are some special cases like prANa once 513 (pra + aNa) and once 53 (prA +Na). 
As mentioned above, in one case the vedic root pra + ana is used and the other one used prA + Na.
Probably this kind of differentiation was made to bring some distinction as in first case it is prANAkhya paramAtma and in second case, it is prANa antragata Pradyumna rUpa. 

Shri KrishNArpanamastu.

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