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RE: distance counts
Glen,
I'm not sure these results are statistically significant.
Currier 'O' shows up at character positions corresponding to a 7 in Strong's
numerical sequence 12 times in 400 characters. With O comprising ~13.5% of
the characters in Biological B (using Currier's transcription alphabet and
D'Imperio's Biol B pages), the expected value if I just threw O's randomly
on the page is (3/12) [fraction of 7's in the 12-number sequence] * 400
[number of characters in sample] * 0.135 [frequency of Currier 'O'] = 13.5.
'O' shows up at character positions corresponding to a 4 in Strong's
numerical sequence 13 times. Again, the expectation for that is 13.5
For character positions corresponding to 1's, 3's, 4's, and 5's the expected
value will be 9. The counts per your data are 8, 6, 13, and 11.
All of that assumes that 400 characters in your alphabet is almost equal to
400 characters in Currier, and I'll admit I'd have to go back to my intro to
stats text to figure out the level of significance for those deviations from
the null hypothesis.
Karl
-----Original Message-----
From: GC [mailto:glenclaston@xxxxxxxxxxxxx]
Sent: Monday, March 04, 2002 6:18 PM
To: Voynich@Rand. Org
Subject: distance counts
The following is a set of counts for the first 400
characters of folio 78r. These particular counts
are for the character ?o? only since I haven?t yet
translated my database to Currier and I don?t want
to get into the ?why don?t you use EVA? debate
again. These will serve well enough for
demonstration of the principle, as they?re pretty
much the same throughout the characters on this
page. I use the first 400 because somewhere
around 512 there is a transcription problem, and
after character 1,000 there?s a major problem.
The first column is the character position, from
1-1198, my count for this page. As you may know,
Strong?s first sequence was a 12-position
sequencing string of 1.3.5.7.9.7.5.3.1.4.7.4. The
particular numeric value is demonstrated in column
two. This sequence is added to the cleartext
(Capital letter column) and given an alphabet
position from 1-24, noted by small letters a-y in
the fourth column. As an example, cleartext S is
alphabet column 18, + 7=25, or column a.
As you?ll see, the distances between the
occurrences of these characters more often than
not either fall on a multiple of 12 or within 1 or
two of that number either way. Being one
character off in the transcription shifts these
values by 1,2, or 3. Other errors may be due to
the wrong cleartext value for that character.
This can be used to narrow down the location of
the transcription error, and because of this I
know that the ?cc? is not always two characters,
etc.
There are other sequences besides this 12 by 12
thing on 78r. Some herbal pages exhibit a
4.8.12.17 sequence, which may be interpreted as a
4.4.4.5 step positioning. Whichever you?re
viewing, the point is that there are two numerical
positioning systems active, and a fairly regular
shift of one keeps a person on their toes. I?m
presently working on identifying the exact shift
points - perhaps I can then understand the
mechanism better. I?m suspecting that our G
character is a very likely candidate for this.
GC
PS the u column has been my biggest headache, and
I?m beginning to think it doesn?t exist. Rather,
the alphabet is 23, not 24. v , w and x columns
would be the most affected by this change.
12 7 S 0 a
96 7 S 0 a (12x7)
144 7 S 0 a (12x12)
325 4 V 0 a (12x27+1)
150 9 V 0 f
302 1 E 0 f (12x12+6)
66 9 W 0 g
366 9 W 0 g (12x25)
55 7 E 0 m
130 1 L 0 m (12x6+3)
186 9 E 0 o
392 5 I 0 o (12x17+2)
400 5 I 0 o (+8)
109 4 L 0 p
191 4 L 0 p (12x7-2)
262 1 O 0 p (12x6-1)
274 1 O 0 p (+12)
322 1 O 0 p (12x4)
27 3 O 0 r
92 5 M 0 r (12x5+5)
135 3 O 0 r (+43)
171 3 O 0 r (12x3)
196 5 M 0 r (12x3+1)
19 7 L 0 s
35 4 O 0 s (+16)
215 4 O 0 s (12x15)
349 4 O 0 s (12x11+2)
86 1 T 0 u
165 3 R 0 u (+79)
238 1 T 0 u (12x6+1)
31 7 O 0 v
41 7 O 0 v (+10)
132 7 O 0 v (+91)
137 7 O 0 v (+5)
156 7 O 0 v (+19)
289 4 R 0 v (12x11+1)
335 4 R 0 v (12x4-2)
337 4 R 0 v (+2)
361 4 R 0 v (12x2)
373 4 R 0 v (+12)
121 4 S 0 w
142 1 V 0 w (+21)
229 4 S 0 w (+87)
246 9 N 0 w (+17)
318 9 N 0 w (12x6)
272 5 S 0 x
280 5 S 0 x (+8)
292 5 S 0 x (+12)
308 5 S 0 x (+16)
320 5 S 0 x (+12)
344 5 S 0 x (12x2)
387 3 U 0 x (+43)
29 7 R 0 y
267 3 V 0 y (12x11+6)
284 5 T 0 y (+17)
377 7 R 0 y (+93)
127 7 S 1 a
355 7 S 1 a (12x19)
120 7 U 4 c
228 7 U 4 c (12x9)