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Linguistic mystery Mystery Cache

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articulatewolverine: This cache no longer exists. Thanks for hunting!

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Hidden : 12/9/2007
Difficulty:
4 out of 5
Terrain:
3 out of 5

Size: Size:   regular (regular)

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Geocache Description:

A new type of puzzle. There are a lot of mathematical and trivia-based puzzles around this area, but this one requires you to think linguistically.

Updates:
1) Hint #2 has changed due to increased knowledge brought about by riding along with a carload of people trying to figure out my cache. Which is actually quite fun, and I recommend it. =)
2) Cache is in a new location, the fifth overall and the one I'm most happy with. It's more secure, and closer to the original waypoint. Thus, you will need to redo the math if you've done it before.
Congratulations to Candum for FTF!

Do not go to the above listed coordinates. You are in danger of getting smashed.

This cache consists of a waypoint to get your bearings, and then a cache whose location you determine by logic and some mild math.

Step 1: Decode the puzzle. Below are a group of letter triads. There are eight 9-letter words split up into their component triads (e.g., FUL BEA UTI = beautiful. The triads are arranged in alphabetical order for randomness' sake.

ATE ATE BLE CHE DIR GER
IGI INE MAR MIS ONS OUS
OXY PAL PAR PEN PHO PIT
SMS SPH TAG TAN TRY VEL

Rearrange and combine the letter triads into eight 9-letter words. (Ergo, each word clearly comprises three triads). Place the nine words in alphabetical order, top to bottom, into the lines below.
1) ___ ___ ___ {___} ___ ___ ___ ___ ___
2) ___ ___ ___ {___} ___ ___ ___ ___ ___
3) ___ ___ ___ ___ ___ {___} ___ ___ ___
4) ___ ___ ___ ___ ___ ___ ___ ___ {___}
5) {___} ___ ___ ___ ___ ___ ___ ___ ___
6) ___ ___ ___ ___ ___ ___ {___} ___ ___
7) ___ ___ ___ {___} ___ ___ ___ ___ ___
8) {___} ___ ___ ___ ___ ___ ___ ___ ___

The letters in brackets tell you exactly what the waypoint is, but not exactly which one. To figure out which one, you need to determine the overall value of the following character, who must be the CEO of a circus: EXEC CLOWN

Step 2: Go to the waypoint and get coordinates. Make sure you go to the more westerly of the two.

Step 3: NOW... The math. (You could do the next paragraph before you leave to save yourself some time on the road) Take the words from above and figure out the value of each word. We'll use the ones column of each word to do a little math.

Coordinates of waypoint:
N 45° w1 w2. w3 w4 w5
W 122° w6 w7. w8 w9 w10

Coordinates of cache:
N 44° c1 c2. c3 c4 c5
W 122° c6 c7. c8 c9 c10

w1 + ones column from word 3 = c1
w2 + ones column from words 3 and 2 = c2
w3 + ones columns from word 2 thrice = c3
w4 - ones column from word 7 = c4
w5 + ones column from word 1, 2 and 4 = c5

w6 + ones column from word 5 = c6
w7 + ones columns from word 6 = c7
w8 - ones columns from words 1 and 4 = c8
w9 - ones columns from words 4 and 8 = c9
w10 + ones column from word 3 = c10

DO NOT come at the final cache from the north. Come at it from the south.

You can check your answers for this puzzle on Geochecker.com.

First technical FTF also goes to Candum, who found the exact location--after the cache was muggled but before I knew it was muggled.

Additional Hints (Decrypt)

[HINT 1] H vf abg rdhny gb I; J vf abg rdhny gb II [HINT 2--important] Lbh pna npprff gur jnlcbvag gjb jnlf--gur rnfl ohg ybat jnl vf gb fgneg va Oebbxf naq pbzr fbhgu. Gur zber qnatrebhf ohg fubeg jnl vf gb chyy bire ba gur serrjnl ragenapr bss bs Ybpxunira/Purznjn naq pebff enzc genssvp. [HINT 3] Jbeq inyhrf: Ubj qvq Pbafgnagvar pbhag?

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)