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first
stringclasses
23 values
second
stringclasses
23 values
bigram
stringlengths
2
2
count
int64
1
12.8k
prob
float64
0
0.07
y
y
12,829
0.067184
c
h
ch
9,438
0.049426
h
e
he
6,998
0.036648
o
o
6,525
0.034171
d
y
dy
5,980
0.031317
c
c
5,804
0.030395
a
i
ai
5,623
0.029447
o
k
ok
5,234
0.02741
i
n
in
5,084
0.026624
n
n
5,066
0.02653
l
l
4,868
0.025493
q
q
4,791
0.02509
o
l
ol
4,789
0.025079
q
o
qo
4,738
0.024812
e
d
ed
4,626
0.024226
r
r
4,557
0.023865
e
e
ee
4,278
0.022403
s
h
sh
3,849
0.020157
i
i
ii
3,840
0.02011
s
s
3,737
0.01957
h
o
ho
3,501
0.018334
e
y
ey
3,335
0.017465
k
e
ke
3,312
0.017345
d
a
da
3,283
0.017193
o
t
ot
3,132
0.016402
d
d
2,889
0.015129
k
a
ka
2,614
0.013689
a
r
ar
2,559
0.013401
e
o
eo
2,538
0.013291
a
l
al
2,495
0.013066
o
r
or
2,321
0.012155
h
y
hy
2,016
0.010558
o
d
od
1,724
0.009028
a
a
1,506
0.007887
t
e
te
1,397
0.007316
y
y
1,366
0.007154
l
l
1,287
0.00674
t
a
ta
1,275
0.006677
k
k
1,024
0.005363
k
c
kc
956
0.005006
o
o
955
0.005001
l
k
lk
954
0.004996
s
s
915
0.004792
h
d
hd
871
0.004561
c
t
ct
870
0.004556
t
c
tc
856
0.004483
t
h
th
855
0.004478
m
m
831
0.004352
k
h
kh
827
0.004331
t
t
820
0.004294
c
k
ck
817
0.004279
l
c
lc
708
0.003708
h
a
ha
698
0.003655
k
y
ky
662
0.003467
p
c
pc
647
0.003388
k
o
ko
631
0.003304
t
o
to
622
0.003257
a
m
am
622
0.003257
r
a
ra
587
0.003074
i
r
ir
585
0.003064
h
c
hc
578
0.003027
y
k
yk
562
0.002943
l
o
lo
536
0.002807
s
a
sa
529
0.00277
d
d
502
0.002629
p
p
484
0.002535
o
c
oc
464
0.00243
o
p
op
462
0.002419
r
r
449
0.002351
d
o
do
442
0.002315
y
t
yt
441
0.002309
l
y
ly
431
0.002257
t
y
ty
423
0.002215
o
s
os
409
0.002142
l
s
ls
404
0.002116
l
d
ld
384
0.002011
e
a
ea
377
0.001974
e
k
ek
375
0.001964
e
c
ec
364
0.001906
s
o
so
357
0.00187
r
o
ro
347
0.001817
e
s
es
346
0.001812
l
a
la
319
0.001671
y
c
yc
301
0.001576
d
c
dc
294
0.00154
o
i
oi
266
0.001393
o
e
oe
248
0.001299
r
y
ry
245
0.001283
o
a
oa
218
0.001142
y
d
yd
216
0.001131
p
o
po
195
0.001021
p
h
ph
194
0.001016
h
k
hk
193
0.001011
c
p
cp
190
0.000995
k
s
ks
180
0.000943
o
m
om
175
0.000916
d
s
ds
171
0.000896
y
s
ys
165
0.000864
f
c
fc
161
0.000843
e
t
et
160
0.000838
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Voynich EVA Corpus Statistics (baseline)

Reproducible descriptive statistics for the Voynich Manuscript in the EVA transcription (Takahashi, IVTFF LSI 2a). A baseline statistics release — a clean, deterministic substrate for hypothesis testing, not a novel finding.

Two streams (this matters)

The word-space is not a written glyph, so all headline quantities are given for both:

  • Full character stream — includes the normalized word-space as a token (alphabet 23). Comparable to older EVA-with-spaces figures.
  • Within-word stream — space excluded, bigrams formed only inside words (alphabet 22). The linguistically cleaner view.
Quantity Full stream Within-word
Glyph tokens 190,954 160,009
H₁ unigram (bits) 3.875 3.861
H(Xₜ, Xₜ₊₁) joint bigram (bits) 6.010 5.714
H(Xₜ₊₁ | Xₜ) conditional (bits) 2.135 1.853

Notation is explicit: H_joint is the joint entropy of adjacent pairs; H_conditional = H_joint − H₁ is bits-per-next-glyph. The low conditional entropy is a well-documented anomaly that any linguistic, cipher, or generative account of Voynichese must reproduce — it is a constraint on explanations, not itself an explanation of cryptanalytic resistance.

Files / configs

  • data/glyph_unigrams.jsonl — all glyphs, is_word_space flagged, count + prob.
  • data/glyph_bigrams.jsonlevery observed ordered pair (321 of 529 possible), count + prob, so the joint distribution/entropy is reconstructible.
  • data/entropy.json — the full/within-word summary above (metadata).

Loads with load_dataset("seancollins/voynich-eva-stats", "glyph_bigrams").

Method

Plug-in Shannon entropy in bits. Miller–Madow bias correction is negligible here (N≈191k, K=23), so it is not separately reported; it matters at higher-order n-grams and small folio-level subsets, which this baseline does not yet cover.

Limitations & what would make it frontier

This is descriptive baseline statistics over one transcription — not a new result. It does not yet include: folio/line/section/Currier-A-B/scribal labels; transcription-uncertainty propagation across Takahashi vs Zandbergen; matched-null generator tests; held-out prediction; or n-gram/compression model comparison. Those — turning the baseline into a transcription-aware, hypothesis-discriminating benchmark — are the paper-worthy next step.

Source: EVA (Takahashi) via the IVTFF LSI file, a community scholarly resource for the public-domain manuscript. Derived statistics released CC-BY-4.0. Companion substrate: SMC17/zsym.

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