The Voynich Ninja

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Let us assume a set of rules for the VMS where you get another word of the manuscript by applying a rule to another word:
The most basic rule is that a glyph can be replaced with a similar shaped glyph. For instance for a word containing t most probably also a word containing k instead of t exists. Because of this rule you can expect beside the word qotol also the word qokol.
- A second rule is that nearly every glyph can be removed. Because of this rule you can expect beside the words qokol also the words okol, kol and ol.
- A third more complex rule is that you can add a glyph at the beginning of a word. For instance it is possible to add an o in front of a common word. In this case the letter next to o is in round about eight out of ten cases replaced with a gallow glyph.  Because of this rule you can find beside chedy also words like okedyotedy, qokedy and qotedy. But since o or o+gallow is sometimes added without removing the next glyph also the word ochedy and okchedy exists.

Beside this three rules some more rules exists. For instance a word can be duplicated. Because of this rule beside the word dy also the word dydy and dydydy exists in the VMS. 
But in this post I only want to demonstrate that with the first three rules are good way to describe the words in the VMS. For this purpose I will use the most frequent words daiin ol and chedy as example. (For calculating the word frequencies I use the transcription of Takeshi Takahashi.)

For the most frequently used word daiin it is possible to build a tree of similar words starting with o- or qo-. The frequencies for this words are very characteristic:

Level 1:                                          daiin (863 times)

Level 2:          okaiin (212 times)         |          otaiin (154)        |  odaiin (60)
Level 3: qokaiin (262 times), kaiin (65) | qotaiin ( 79), taiin (42) | qodaiin (42)
There are more words starting with ok- or ot- then with od- and the word starting with qok- is even more frequent then the word starting with ok.


Surprisingly the same characteristic pattern can also be found for words similar to chedy:

Level 1:                                            chedy (510 times)

Level 2:           okedy (118 times)          |        otedy (155)            |  ochedy (8)
Level 3: qokedy (272 times), kedy (44)   | qotedy ( 91), tedy (42)   | qochedy (2)


For the word ol the o is not replaced with a gallow glyph. Instead ok- or ot- was added in this cases.
Beside this specific feature the tree for ol also shares the same characteristic:


Level 1:                                        ol (537 times) 

Level 2:           okol ( 82 times)          |        otol (86)             |  ool (-)
Level 3: qokol (104 times), kol (37)     | qotol (47), tol (48)      | qool (4)


It is possible to find this pattern also for other words if they are frequently enough that also variants starting with qo- and o- exists for them. Here is a list of words I have checked so far:
Code:
Words similar to daiin, dain, dair:
Level 1:                                 daiin (863 times)
Level 2:        okaiin (212 times)       |        otaiin (154)       |  odaiin (60)
Level 3: qokaiin (262 times), kaiin (65) | qotaiin ( 79), taiin (42) | qodaiin (42)

Level 1:                                   dain (211 times)
Level 2:        okain (144 times)        |        otain (96)         |  odain (18)
Level 3: qokain (279 times), kain (48)   |  qotain (64), tain (16)   | qodain (11)

Level 1:                                  dair (106 times)
Level 2:        okair (22 times)         |       otair (21)          |  odair (-)
Level 3: qokair ( 17 times), kair (14)   | qotair ( 6), tair (13)    | qodair (3)

Words similar to chedy, chey, cheey, cheedy:
Level 1:                                 chedy (510 times)
Level 2:        okedy (118 times)        |       otedy (155)         |  ochedy (8)
Level 3: qokedy (272 times), kedy (44)   | qotedy ( 91), tedy (42)   | qochedy (2)

Level 1:                                  chey (344 times)
Level 2:         okey (63 times)         |       otey (57)           |  ochey (8)
Level 3: qokey (107 times), key (14)     | qotey (24), tey (11)      | qochey (6)

Level 1:                                 cheey (174 times)
Level 2:        okeey (177 times)        |       oteey (140)         |  ocheey (3)
Level 3: qokeey (308 times), keey (44)   | qoteey ( 42), teey (20)   | qocheey (2)

Level 1:                                cheedy ( 59 times)
Level 2:        okeedy (105 times)       |       oteedy (100)        |  ocheedy (1)
Level 3: qokeedy (305 times), keedy (53) | qoteedy ( 74), teedy (13) | qocheedy (-)

Words similar to dy and chdy:
Level 1:                                    dy (270 times)
Level 2:       oky (102 times)           |      oty (115)            |  ody (47)
Level 3: qoky (147 times), ky (25)       | qoty ( 87), ty (16)       | qody (17)

Level 1:                                  chdy (150 times)
Level 2:       okchdy (21 times)         |      otchdy (30)          |  ochdy (1)
Level 3: qokchdy ( 56 times), kchdy (20) | qotchdy (23), tchdy (15)  | qochdy (-)

The words similar to ol, dol, or, dor, ar, dar, al and dal:
Level 1:                                                                 ol (537)  |   dol (117)
Level 2:  okol ( 82 times)               |  otol (86)                |  ool (  -)  |  odol (  2)
Level 3: qokol (104 times), kol (37)     | qotol (47), tol (48)      | qool (  4)  | qodol (  1)

Level 1:                                                                 or (363)  |   dor (73)
Level 2:  okor ( 34 times)               |  otor (46)                |  oor (  3)  |  odor ( 8)
Level 3: qokor ( 36 times), kor (26)     | qotor (29), tor (23)      | qoor (  8)  | qodor ( 2)

Level 1:                                                                 ar (350)  |   dar (318)
Level 2:  okar (129 times)              |  otar (141)                |  oar ( 16)  |  odar ( 24)
Level 3: qokar (152 times), kar (52)    | qotar ( 63), tar (43)      | qoar ( 12)  | qodar ( 11)

Level 1:                                                                 al (260)  |   dal (253)
Level 2:  okal (138 times)              |  otal (143)                |  oal (  3)  |  odal ( 13)
Level 3: qokal (191 times), kal (23)    | qotal ( 59), tal (20)      | qoal (  4)  | qodal (  7)

Words similar to dam, dar, chol and char:
Level 1:                                  dam (98 times)
Level 2:      okam (26 times)           |      otam (47)             |  odam (6)
Level 3: qokam (25 times), kam (9)      | qotam (12), tam (5)        | qodam (3)

Level 1:                                  dar (318 times)
Level 2:     otar (141 times)           |      okar (129)            |  odar (24)
Level 3: qokar (152 times), kar (52)    | qotar ( 63), tar (43)      | qodar (11)

Level 1:                                 chol (72 times)                                                      
Level 2:        okchol (15 times)       |       otchol (28)          |  ochol (5)  
Level 3: qokchol (18 times), kchol (21) | qotchol (13), tchol (13)   | qochol (2)

Level 1:                                 char (396 times)                                                      
Level 2:       okchar (4 times)         |  otchar ( 6)               |  ochar (2)  
Level 3: qokchar (1 times), kchar (2)   | qotchar ( 3), tchar (4)    | qochar (1)

What does this mean? It is possible to describe the words in the VMS by there relations. With the rules found it is not only possible to predict the existence of a word it is also possible to predict the frequency of a word.
hello Torsten,

the first three sentences in your posting causes my brain to short circuit: from that point on is not possible to read on.

Quote:The whole VMS is based on words similar to each other.
Similar words depend on each other in a characteristic way.
This happens since the words in the VMS are connected to each other by a set of rules

For me, it is simply not possible to agree with the first two lines. The last lines on itself is true, but not in the sense that you imply.
hello Davidsch,

 no problem, I have replaced the three sentences with "Let us assume a set of rules for the VMS where you get another word of the manuscript by applying a rule to another word:"

BTW: Would you agree with: The VMS is full with words similar to each other.
Let us assume a set of rules for the VMS where you get another word of the manuscript by applying a rule to another word:"

Yes, The VMS is full with words similar to each other.
(01-01-2017, 08:14 PM)Torsten Wrote: You are not allowed to view links. Register or Login to view.For the most frequently used word daiin it is possible to build a tree of similar words starting with o- or qo-. The frequencies for this words are very characteristic:

Level 1:                                          daiin (863 times)

Level 2:          okaiin (212 times)         |          otaiin (154)        |  odaiin (60)
Level 3: qokaiin (262 times), kaiin (65) | qotaiin ( 79), taiin (42) | qodaiin (42)
There are more words starting with ok- or ot- then with od- and the word starting with qok- is even more frequent then the word starting with ok.

So qokaiin is more common than okaiin, but otaiin is more common than qotaiin.  Why should this be true, from the standpoint of your auto-copying hypothesis?  If the scribe is just randomly adding a q in some cases, shouldn't the ratios be roughly equal?
Excuse me if I sound ignorant, but does this relate to Zipf's Law Torsten?  I believe it would be impossible for the VMS not to a have a relation to Ziph's Law.

Math relates to words, and don't think I'm being quizzacious here, but it's Geometry of Gematria.  For with any Archetype as in a word, you will have a frequency and flow from fewer angles to the many.

Quote:Excuse me if I sound ignorant, but does this relate to Zipf's Law Torsten?  I believe it would be impossible for the VMS not to a have a relation to Ziph's Law.

Math relates to words, and don't think I'm being quizzacious here, but it's Geometry of Gematria.  For with any Archetype as in a word, you will have a frequency and flow from fewer angles to the many.

@stellar: I did not see any contradiction. I have counted the frequencies for some words of the VMS. This list of words checked here is not complete.
Zipf's Law on the other side is for a complete text. Therefore, if you want to check the VMS for Zipf's Law you have to check the complete word list.
Quote:So qokaiin is more common than okaiin, but otaiin is more common than qotaiin.  Why should this be true, from the standpoint of your auto-copying hypothesis?  If the scribe is just randomly adding a q in some cases, shouldn't the ratios be roughly equal?

@Sam G


Why 'qokaiin' is more common than 'okaiin' is indeed a very good question. Since I haven't said anything about the auto-copying hypothesis in this thread so far I prefer not to answer your question from this point of view. 

I think the important observation here is that also all other words starting with 'qok-' are more frequent then the similar words starting with 'ok-' . My explanation for this observation is that 'qokaiin' is not only related to 'okaiin'. In the same way as 'qokaiin' is related to 'okaiin' it is also related to words like 'qokainand 'qotaiin' because of the rule that a glyph can be replaced with a similar shaped glyph. There is also a rule saying that it is possible to remove a glyph. Because of this rule it is also related to words like 'qoaiin'. With other words there are multiple ways which lead to the same word resulting in a whole network of relations for the words in the VMS. In this network the frequency of a word depends on all other words it is connected to. It seems that two words starting with 'qok-' like 'qokaiin' and 'qokain' (or also starting with 'qot-' like 'qotaiin' and 'qotain') have more in common then two words starting with 'qok-' and 'qot-' like 'qokaiin' and 'qotaiin'.

That similar words are related to each other is an important information. For instance it is possible this way to check if a word is weird or to check for transcription errors. One weird word is for instance the unique word 'daisn' in f102v1.P1.2. This word is not only unique there is also no similar word and no other word in the whole VMS contains a sequence 'sn'. Therefore the check would fail for 'daisn'. 

Another example are the two words 'da dy' in f27v.P.2 in the transcription of Takahashi. The first study group reads the same sequence as 'daidy'. A word 'daidy' would be also unique for the VMS but since a word 'daiidy' occurs seven times and a word 'daiiidy' occurs once a word 'daidy' would fit into the VMS. 
In my first post in this thread I have shown that the frequencies for words similar to each other fulfill a certain pattern. If the frequencies of similar words are related to each other this means that this words must depend in some way on each other.

One example for words matching to this pattern are the words similar to 'chedy'. The word 'chedy' is the most frequent word in Currier B. Surprisingly it never occurs on pages in Currier A. If the words similar to 'chedy' are indeed related in some way to 'chedy' we should expect that this words also never occur on pages in Currier A. And this is indeed the case (see You are not allowed to view links. Register or Login to view.). Moreover words containing the sequence 'ed' are an exception for pages in Currier A! On the other side words containing 'od' like 'chody' and 'cheody' occur in Currier A and in Currier B (see You are not allowed to view links. Register or Login to view.).

Whereas elements occurring in Currier A did also occur in Currier B this did not happen the other way around. In my eyes the most plausible explanation for this feature is a shift from 'od' to 'ed' while writing the text. If this was the case the proportion of words in B language for each page should reveal the initial order for the pages. And indeed it is possible to reorder the sections of the VMS in a way that there is a steady increase of words in Currier B. The resulting order is: Herbal in Currier A, Pharmaceutical section, Astronomical section, Cosmological section, Herbal in Currier B, Stars and Biological section.
(04-01-2017, 08:32 PM)Torsten Wrote: You are not allowed to view links. Register or Login to view.
Quote:So qokaiin is more common than okaiin, but otaiin is more common than qotaiin.  Why should this be true, from the standpoint of your auto-copying hypothesis?  If the scribe is just randomly adding a q in some cases, shouldn't the ratios be roughly equal?

@Sam G


Why 'qokaiin' is more common than 'okaiin' is indeed a very good question. Since I haven't said anything about the auto-copying hypothesis in this thread so far I prefer not to answer your question from this point of view. 

I think the important observation here is that also all other words starting with 'qok-' are more frequent then the similar words starting with 'ok-' . My explanation for this observation is that 'qokaiin' is not only related to 'okaiin'. In the same way as 'qokaiin' is related to 'okaiin' it is also related to words like 'qokainand 'qotaiin' because of the rule that a glyph can be replaced with a similar shaped glyph. There is also a rule saying that it is possible to remove a glyph. Because of this rule it is also related to words like 'qoaiin'. With other words there are multiple ways which lead to the same word resulting in a whole network of relations for the words in the VMS. In this network the frequency of a word depends on all other words it is connected to. It seems that two words starting with 'qok-' like 'qokaiin' and 'qokain' (or also starting with 'qot-' like 'qotaiin' and 'qotain') have more in common then two words starting with 'qok-' and 'qot-' like 'qokaiin' and 'qotaiin'.

I still don't see how this really explains it.  It seems like a good theory should account not only for which words exist, but also for how common they are.
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