Symmetrically Designed Sifrei Torah: A Quantitative Analysis - Hakirah

עח:‏
Symmetrically Designed Sifrei Torah: A Quantitative Analysis : 207
validates 57 all of the calculations and helps accomplish the Gemara’s
objective of getting the highlighted letter, word and verse of interest
on the top of a page.
The significance of the number 46 is not limited to the five
books of the Torah. Further evidence of the significance of
תהלים עח׃לח divisibility by 46 is found in the Gemara’s statement that
תהלים fact, is the middle verse of the 2,527 verses. In ‏(והוא רחום (i.e.
which is the 1,264 th verse, is the middle verse, i.e. two verses לו
earlier. However, note that 2,527 is not divisible by 46. If, as we did
in Torah, we are looking for pages that contain 46 verses, then the
number of pages to accommodate the 2,527 verses of Tehillim is 55
(since 46*55=2,530). The 55 pages will accommodate 3 more verses
than Tehillim has, according to our count. Thus 2,484 verses will be
on the first 54 pages and 43 verses on the last page. The verse the
Gemara offers as the middle verse, רחום ‏,והוא is preceded in תהלים by
1,265 verses. Thus, the Gemara’s verse (verse 1,266) starts exactly at
the middle of page 28 and is in fact the middle verse of the complete
2,530 verses that could be accommodated on the 55 pages of
Tehillim. 58,59
We conclude this section with the final statement in the
The back of all standard D”H texts ‏.חסר ממנו דברי הימים שמונה ‏:ברייתא
says it has in total 1,656 verses, but an actual count shows 1,764
verses. 60 Note that 1,656 is divisible by 46 but 1,764 is not.
57 I.e. if in fact there are an extra 43 verses, they must all come in the final
2,806 (35%) of the Torah. This is highly unlikely.
58 We are not assuming any extra pages added on one side for the sake of
wrapping around the rest of the Sefer. Maseches Sefer Torah 2:5 appears to
say that a S”T requires a single etz chaim and other books require none.
59 The only verse highlighted in the Gemara lacking divisibility by 46 is
Tehillim 80:14, which is said to contain the middle letter of Tehillim, i.e.
the ע of ‏.יער This verse is preceded by 1326 verses. 1326 is not divisible
by 46, and if we divided pages into blocks of 46 verses, Tehillim 80:14
would be 8 verses before the bottom of page 58. We have no
explanation for why this verse was highlighted. However, we wonder
יתר עליו תהלים Baraisa: whether this is the meaning of the end of the
of Tehillim פסוקים Perhaps this 8 is referring not to the excess in ‏.שמונה
over Torah but to the midpoint of the letters in Tehillim appearing 8
verses before expected.
60 See footnote 33 for a discussion of the length of Divrei Hayamim.