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Frequency Analysis (Liber Primus)

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Frequency analysis showed that, rune frequency is random and unpredictable ,well average frequency of all pages show that, minimum frequency on unsolved pages is (1%) and maximum (3%) but, on individual pages maximum can reach more than 6%.

Average

avg 0 is average frequency of runes (pages 0-2), avg 1 is (page 3-7) and avg 3 is average frequency of Liber Primus (lol it should be avg 2 but I made a mistake)

F U TH O R C/K G W H N I J EO P X (S/Z) T B E M L (NG/ING) OE D A AE Y (IA/IO) EA
avg0 4.61% 2.99% 4.1% 2.74% 3.04% 3.88% 3.93% 3.12% 4.34% 3.89% 3.37% 3.37% 2.37% 3.72% 3.73% 3.05% 3.29% 3.33% 3.45% 2.41% 4.17% 3.86% 3.3% 4.5% 2.62% 3.21% 3.27% 3.21% 3.96%
avg1 3.28% 2.96% 3.48% 2.71% 3.1% 4.28% 3.83% 2.88% 3.83% 3.59% 3.62% 3.59% 3.42% 3.77% 4.03% 3.05% 3.31% 3.02% 3.09% 3% 4.34% 3.73% 3.4% 3.9% 2.91% 3.43% 3.45% 3.74% 4.21%
avg3 2.73% 2.64% 2.78% 2.38% 2.26% 3.06% 2.76% 2.13% 2.41% 2.69% 2.47% 2.33% 3.25% 2.48% 2.29% 2.66% 2.87% 2.50% 2.52% 2.45% 3.03% 2.62% 2.87% 2.5% 2.52% 2.45% 2.62% 2.94% 2.96%

Interesting Patterns Edit

there are many patterns that I noticed through pages if we compare them. lets compare page 0, page 1 and page 2...

LetterFr0-2

Rune Frequency analysis page (0-2)

this might be clue for shift, most frequent rune on page 0, is  - 'ᛝ' or '(NG/ING)', most frequent rune on page 2, is -'ᛞ' or 'D', their frequency is very close (ᛝ-6.91%) and (ᛞ-7.01%), well this might be coincidence, but there are lot of other similar patterns that reduces chances of this being a coincidence...

F U TH O R C/K G W H N I J EO P X (S/Z) T B E M L (NG/ING) OE D A AE Y (IA/IO) EA
page0 5.37% 2.68% 4.60% 2.30% 2.68% 1.91% 4.60% 1.91% 3.83% 4.60% 3.07% 3.07% 3.45% 3.45% 4.60% 3.07% 3.07% 3.45% 3.07% 3.84% 2.69% 6.91% 3.07% 3.45% 2.30% 3.45% 4.99% 2.69% 2.30%
page1 4.94% 2.28% 4.18% 3.43% 3.43% 5.71% 4.19% 3.43% 2.66% 3.05% 3.05% 3.05% 1.14% 4.19% 4.57% 4.57% 2.28% 1.52% 2.28% 1.90% 5.33% 2.66% 5.33% 3.04% 3.04% 4.19% 3.80% 3.42% 4.56%
page2 3.50% 4% 3.51% 2.50% 3.01% 4.01% 3.01% 4.01% 6.51% 4.01% 4.01% 4.01% 2.50% 3.51% 2% 1.50% 4.51% 5.01% 5.01% 1.50% 4.51% 2% 1.50% 7.01% 2.50% 2% 1% 3.51% 5.01%
Similar pattern1

fig 1, part of graph (page 1 and page 2)

let's look at fig1, which is part of page 1(red) and 2(green) comparison, runes: page 1 - [(ᛇ-EO-1.14%) (ᛈ-P-4.19%) (ᛉ-X-4.57%)(ᛋ-S/Z-4.57%)(ᛏ-T-2.28%)] and page 2 - [(ᛋ-S/Z-1.50%)(ᛏ-T-4.51%)(ᛒ-B-5.01%)(ᛖ-E-5.01%)(ᛗ-M-1.50%)] pattern of graphs are very similar and frequency is also close.

Similar Pattern2

fig 2

fig 2 also similar patterns but there is no shift, runes: page 1 - [(ᚾ-N-3.05%)(ᛁ-I-3.05%)(ᛂ-J-3.05%)(ᛇ-EO-1.14%)] page 2 - [(ᚾ-N-4.01%)(ᛁ-I-4.01%)(ᛂ-J-4.01%)(ᛇ-EO-2.50%)]

fig 3 frequency is not so close, but shape of graphs is similar, runes: page 1 - [(ᚱ-R-3.43%)(ᚳ-C/K-5.71%)(ᚷ-G-4.19%), page 2 - [(ᚹ-W-3.43%)(ᚻ-H-6.51%)(ᚾ-N-4.01%)]

fig 4, this pattern is from page 3(blue) and page 5(red), runes: page 3 - [(ᛉ-X-2.79%)(ᛋ-S/Z-4.19%)(ᛏ-T-2.28%)(ᛒ-B-3.72%)(ᛖ-E-2.33%)], page 4 - [(ᛖ-E-2.71%)(ᛗ-M-4.64%)(ᛚ-L-4.64%)(ᛝ-NG/ING-4.25%)(ᛟ-OE-3.87%)

fig 5, runes: page 3 - [(ᚢ-U-1.40%)], page 4 - [(ᚩ-O-1.55%)]

similar patterns are found on all other pages (0-57)

Pattern3

fig 3

Similar Pattern4

fig 4

Similar Pattern5

fig 5

Conclusion Edit

so, if it's not a coincidence than probably, (page 0-2, page 3-7...etc) is same cipher/key but with different shift

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