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32 and 243 Key set

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barbarian

Active Member

Posts: 370

Joined: Thu Mar 27, 2008 3:08 pm

Post Sun Jan 31, 2021 4:31 pm

32 and 243 Key set

So from time to time someone may want to produce a list of all possible key cuts that meet certain rules. Here is a little breakdown of how it can be done:

I start with a little program written in basic. Very simple and easy to follow. The version of basic I use is called "just basic" and its a free download and simple install.

Here is my program.

for a = 1 to 2
for b = 1 to 2
for c = 1 to 2
for d = 1 to 2
for e = 1 to 2
print a;b;c;d;e
next e
next d
next c
next b
next a

The program produces an output of all the combinations of 1 and 2 in five places.

Output:

11111 11112 11121 11122 11211 11212 11221 11222 12111
12112 12121 12122 12211 12212 12221 12222 21111 21112
21121 21122 21211 21212 21221 21222 22111 22112 22121
22122 22211 22212 22221 22222

Copy the text output from the basic program into some type of text editing program. I used "notepad" that comes with windows. You could use "Word" or whatever you wanted. Once the text is in the text editing program we want to use the "replace" feature to change all the "1" cuts with "5". That's pretty simple and now we have a list of all possible combinations of 2 and 5 cuts for our special keys.

Here is the list of 32 keys..

55555 55552 55525 55522 55255 55252 55225 55222 52555
52552 52525 52522 52255 52252 52225 52222 25555 25552
25525 25522 25255 25252 25225 25222 22555 22552 22525
22522 22255 22252 22225 22222


Now lets suppose for some reason we want to produce a similar list but this time it's going to be all combinations of three different cuts rather than two. We can modify our little basic program very easily as shown here. We just modify the first five statements by changing the 2's into 3's.


for a = 1 to 3
for b = 1 to 3
for c = 1 to 3
for d = 1 to 3
for e = 1 to 3
print a;b;c;d;e
next e
next d
next c
next b
next a

The output from that program produces 243 different keys with all possible combinations of 1, 2, and 3 in five places.
Here is the output.


11111 11112 11113 11121 11122 11123 11131 11132 11133 11211
11212 11213 11221 11222 11223 11231 11232 11233 11311 11312
11313 11321 11322 11323 11331 11332 11333 12111 12112 12113
12121 12122 12123 12131 12132 12133 12211 12212 12213 12221
12222 12223 12231 12232 12233 12311 12312 12313 12321 12322
12323 12331 12332 12333 13111 13112 13113 13121 13122 13123
13131 13132 13133 13211 13212 13213 13221 13222 13223 13231
13232 13233 13311 13312 13313 13321 13322 13323 13331 13332
13333 21111 21112 21113 21121 21122 21123 21131 21132 21133
21211 21212 21213 21221 21222 21223 21231 21232 21233 21311
21312 21313 21321 21322 21323 21331 21332 21333 22111 22112
22113 22121 22122 22123 22131 22132 22133 22211 22212 22213
22221 22222 22223 22231 22232 22233 22311 22312 22313 22321
22322 22323 22331 22332 22333 23111 23112 23113 23121 23122
23123 23131 23132 23133 23211 23212 23213 23221 23222 23223
23231 23232 23233 23311 23312 23313 23321 23322 23323 23331
23332 23333 31111 31112 31113 31121 31122 31123 31131 31132
31133 31211 31212 31213 31221 31222 31223 31231 31232 31233
31311 31312 31313 31321 31322 31323 31331 31332 31333 32111
32112 32113 32121 32122 32123 32131 32132 32133 32211 32212
32213 32221 32222 32223 32231 32232 32233 32311 32312 32313
32321 32322 32323 32331 32332 32333 33111 33112 33113 33121
33122 33123 33131 33132 33133 33211 33212 33213 33221 33222
33223 33231 33232 33233 33311 33312 33313 33321 33322 33323
33331 33332 33333

We copy that text into our text editing program and use the "replace" feature again. This time change all the "1" into "A". Then change the "2" into "B" and last change the "3" into "C". That will produce a list like the one shown here. It is every combination of three cuts in five spaces.


AAAAA AAAAB AAAAC AAABA AAABB AAABC AAACA AAACB AAACC AABAA
AABAB AABAC AABBA AABBB AABBC AABCA AABCB AABCC AACAA AACAB
AACAC AACBA AACBB AACBC AACCA AACCB AACCC ABAAA ABAAB ABAAC
ABABA ABABB ABABC ABACA ABACB ABACC ABBAA ABBAB ABBAC ABBBA
ABBBB ABBBC ABBCA ABBCB ABBCC ABCAA ABCAB ABCAC ABCBA ABCBB
ABCBC ABCCA ABCCB ABCCC ACAAA ACAAB ACAAC ACABA ACABB ACABC
ACACA ACACB ACACC ACBAA ACBAB ACBAC ACBBA ACBBB ACBBC ACBCA
ACBCB ACBCC ACCAA ACCAB ACCAC ACCBA ACCBB ACCBC ACCCA ACCCB
ACCCC BAAAA BAAAB BAAAC BAABA BAABB BAABC BAACA BAACB BAACC
BABAA BABAB BABAC BABBA BABBB BABBC BABCA BABCB BABCC BACAA
BACAB BACAC BACBA BACBB BACBC BACCA BACCB BACCC BBAAA BBAAB
BBAAC BBABA BBABB BBABC BBACA BBACB BBACC BBBAA BBBAB BBBAC
BBBBA BBBBB BBBBC BBBCA BBBCB BBBCC BBCAA BBCAB BBCAC BBCBA
BBCBB BBCBC BBCCA BBCCB BBCCC BCAAA BCAAB BCAAC BCABA BCABB
BCABC BCACA BCACB BCACC BCBAA BCBAB BCBAC BCBBA BCBBB BCBBC
BCBCA BCBCB BCBCC BCCAA BCCAB BCCAC BCCBA BCCBB BCCBC BCCCA
BCCCB BCCCC CAAAA CAAAB CAAAC CAABA CAABB CAABC CAACA CAACB
CAACC CABAA CABAB CABAC CABBA CABBB CABBC CABCA CABCB CABCC
CACAA CACAB CACAC CACBA CACBB CACBC CACCA CACCB CACCC CBAAA
CBAAB CBAAC CBABA CBABB CBABC CBACA CBACB CBACC CBBAA CBBAB
CBBAC CBBBA CBBBB CBBBC CBBCA CBBCB CBBCC CBCAA CBCAB CBCAC
CBCBA CBCBB CBCBC CBCCA CBCCB CBCCC CCAAA CCAAB CCAAC CCABA
CCABB CCABC CCACA CCACB CCACC CCBAA CCBAB CCBAC CCBBA CCBBB
CCBBC CCBCA CCBCB CCBCC CCCAA CCCAB CCCAC CCCBA CCCBB CCCBC
CCCCA CCCCB CCCCC

The reason why we change these cuts into letters is because we are going to cut special depth cuts that do not correspond to factory depths. For this special purpose we know that a cut half way between depth one and depth two will open either depth. So we cut a special depth and call it "A". The "B" depth is halfway between a three and a four depth, it also opens both. Lastly the "C" cut is halfway between a five and six depth.

1 = .329
2 = .306
3 = .283
4 = .260
5 = .237
6 = .214

A = .318 halfway between a 1 cut and 2
B = .272 halfway between a 3 cut and 4
C = .226 halfway between a 5 cut and 6

Hope this helps anyone that wants to make their own set of 32 or 243 keys.
Last edited by barbarian on Tue Feb 02, 2021 11:06 am, edited 1 time in total.
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mastersmith

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Posts: 675

Joined: Wed May 25, 2011 4:16 pm

Location: Miami Township, Ohio

Post Sun Jan 31, 2021 5:09 pm

Re: 32 and 243 Key set

Very handy! Thank you.
"All ye who come this art to see / to handle anything must cautious be...." Benjamin Franklin
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MrPharmer2012

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Posts: 502

Joined: Mon Oct 10, 2011 6:10 pm

Location: San Diego CA

Post Tue Feb 02, 2021 7:05 pm

Re: 32 and 243 Key set

Great post TY
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escapenrv

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Posts: 209

Joined: Sat Jul 19, 2014 9:13 am

Location: Florida and NC in USA

Post Wed Feb 03, 2021 11:50 am

Re: 32 and 243 Key set

Thanks a lot.

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