This script does it:
  
    cat base.elt \
      | sed \
          -e 's/{ee/{X}{/g' \
          -e 's/{[ceh]}/{E}/g' \
          -e 's/{\(..*\)e}/{\1}{E}/g' \
          -e 's/{[csi][h]}/{X}/g' \
          -e 's/{[ci][ktpf][h]}/{X}/g' \
          -e 's/{[ci][ktpf]}/{X}/g' \
          -e 's/{[ktpf]}/{X}/g' \
          -e 's/{[rlsn]}/{R}/g' \
          -e 's/{[mdgj]}/{R}/g' \
          -e 's/{[aoy]}/{O}/g' \
          -e 's/{[q]}/{Q}/g' \
          -e 's/{[i][i]*}/{I}/g' \
          -e 's/{[ceh]}/{E}/g' \
          -e 's/\([A-Z]\)/{\1}/g' \
      > base.clt
    
  but this splitting makes the counts smaller hence more
  affected by error; and the tables get longer and harder
  to grok.  Anyway, here is the script:

    cat base.txt \
      | sed \
          -e 's/ee/S/g' \
          -e 's/[csi][h]/S/g' \
          -e 's/[ci][ktpf][h]/G/g' \
          -e 's/[ci][ktpf]/G/g' \
          -e 's/[ktpf]/H/g' \
          -e 's/[rlsn]/L/g' \
          -e 's/[mdgj]/D/g' \
          -e 's/[aoy]/O/g' \
          -e 's/[q]/Q/g' \
          -e 's/[i][i]*/I/g' \
          -e 's/[ceh]/E/g' \
          -e 's/\([A-Z]\)/{\1}/g' \
      > base.flt
    

  Comparing pair frequencies:


        multicol -v titles="lin fig std non" {lin,fig,std,non}-${map}-${v}.frq \
          > all-${map}-${v}.frq

        compare-freqs {lin,fig,std,non}-${map}-${v}.frq \
          | tr ':' ' ' \
          | sort +0.0 -0.1r +8b -9b +0b -1nr +4b -4nr +6b -7nr \
          | gawk '/^[^#]/{if($9\!=c){print "";c=$9}} //{print}' \
          > all-${map}-${v}.cmpfrq

Relative frequency at breaks
----------------------------

  The absolute frequency of each pair X-Y around line or word breaks
  is affected by the frequency of the consituent letters.  So a more
  relevant quantity is the ratio (freq at line break)/(freq at word break).
  
TO BE DONE

    foreach brk ( std lin )
      cat ${brk}-elt.frq \
        | gawk '//{$3=("{" $3 "}"); gsub(/:/, "}:{", $3); print $1,$3;}' \
        | elt2slt \
        | tr -d '{}' \
        | combine-counts \
        | sort -b +0 -1nr \
        | compute-freqs \
        > ${brk}-slt.frq
    end
        
    foreach brk ( std lin )
      cat ${brk}-slt.frq \
        | gawk '//{gsub(/^.*:/, "", $3); print $1,$3;}' \
        | combine-counts \
        | sort -b +0 -1nr \
        | compute-freqs \
        > ${brk}-aft-slt.frw
      cat ${brk}-slt.frq \
        | gawk '//{gsub(/:.*$/, "", $3); print $1,$3;}' \
        | combine-counts \
        | sort -b +0 -1nr \
        | compute-freqs \
        > ${brk}-bef-slt.frw
    end

    foreach f ( sec-all{-bol,,-eol}.ect )
      cat $f \
        | gawk \
            ' /../{ t += $1; print; } \
              END { printf " %7s TOTAL\n", t; } \
            ' \
        > /tmp/$f 
    end

    compare-counts /tmp/sec-all{-bol,,-eol}.ect \
      | gawk \
          ' /../{ \
              M=($1+$3+2); B=($1+1)/M; X=M/($2+3); \
              printf " %7s %7s %7s %7.4f %7.4f %s\n",$1,$2,$3,B,X,$4;} \
          ' \
      | sort -b +1 -2nr +3 -4nr \
      > /tmp/cmp-counts.txt

  let's plot the bol/eol and end/mid ratios for the
  most significant entries:

    cat /tmp/cmp-counts.txt \
      | gawk '($2 > 32){print;}' \
      > /tmp/cmp-counts-sig.txt

    gnuplot <<EOF
    set terminal x11
    plot "/tmp/cmp-counts-sig.txt" using 4:5 with points 
    pause 300
  EOF

  Elements sorted by which end of the line they prefer:

    printf " %7s %7s %7s %7s %7s %s\n" "bol" "all" "eol" "b/(b+e)" "(b+e)/a" "elem";\
    echo " ------- ------- ------- ------- ------- ---------";\
    cat /tmp/cmp-counts.txt \
      | sort -b +3 -4

         bol     all     eol b/(b+e) (b+e)/a elem
     ------- ------- ------- ------- ------- ---------
           .    4210     439  0.0023  0.1047 iin
           2     945     642  0.0046  0.6814 m
           .    1209     114  0.0086  0.0957 in
          11    5824     325  0.0355  0.0580 r
           .      49      23  0.0400  0.4808 im
           1     116      39  0.0476  0.3529 n
           .      92      14  0.0625  0.1684 iiin
           .     497      13  0.0667  0.0300 ir
           .      13      10  0.0833  0.7500 iim
          70    8985     421  0.1440  0.0549 l
           .      98       3  0.2000  0.0495 iir
         562   15421    1519  0.2703  0.1350 y
           .       1       1  0.3333  0.7500 u
           .       3       1  0.3333  0.5000 iiil
           .       4       1  0.3333  0.4286 b
          21     403      31  0.4074  0.1330 ?
           .       1       .  0.5000  0.5000 '?
           .       1       .  0.5000  0.5000 iiid
           .       3       .  0.5000  0.3333 iis
           .       4       .  0.5000  0.2857 ith
           .       6       .  0.5000  0.2222 iid
           .       6       .  0.5000  0.2222 ikh
           .       7       .  0.5000  0.2000 id
           .       9       .  0.5000  0.1667 ct
           .      10       .  0.5000  0.1538 ck
           .      10       .  0.5000  0.1538 iil
           .      13       .  0.5000  0.1250 h?
           .      19       .  0.5000  0.0909 is
           .      28       .  0.5000  0.0645 il
           .      32       .  0.5000  0.0571 iiir
           .      73       .  0.5000  0.0263 i?
           .     246       .  0.5000  0.0080 ckhe
           .     314       .  0.5000  0.0063 eee
        3908  126300    3908  0.5000  0.0619 TOTAL
          14   12524      13  0.5172  0.0023 a
           2     723       1  0.6000  0.0069 ckh
           4    3803       2  0.6250  0.0021 ee
           1       3       .  0.6667  0.5000 c?
           1      22       .  0.6667  0.1200 x
           1      37       .  0.6667  0.0750 de
         382    2021     121  0.7584  0.2495 s
           3     265       .  0.8000  0.0187 e?
           4    1485       .  0.8333  0.0040 ke
         597   11409     108  0.8458  0.0620 d
           5     261       .  0.8571  0.0265 cthe
          18     901       2  0.8636  0.0243 cth
         505   21348      47  0.9134  0.0259 o
         130    7534       8  0.9357  0.0186 k
          25     814       .  0.9630  0.0330 te
         107    6067       3  0.9643  0.0185 ch
          30    3798       .  0.9688  0.0084 che
          39    1891       .  0.9756  0.0216 she
         147    2217       1  0.9867  0.0676 sh
         724    5445       6  0.9904  0.1344 t
         502    5080       .  0.9980  0.0992 q

  So we can split the elements manually into classes,
  as follows:

         bol     all     eol b/(b+e) (b+e)/a elem
     ------- ------- ------- ------- ------- ---------
        3908  126300    3908  0.5000  0.0619 TOTAL


           2     945     642  0.0046  0.6814 m
           .      49      23  0.0400  0.4808 im
           .      13      10  0.0833  0.7500 iim

           1     116      39  0.0476  0.3529 n
           .    1209     114  0.0086  0.0957 in
           .    4210     439  0.0023  0.1047 iin
           .      92      14  0.0625  0.1684 iiin

          11    5824     325  0.0355  0.0580 r
           .     497      13  0.0667  0.0300 ir
           .      98       3  0.2000  0.0495 iir

         562   15421    1519  0.2703  0.1350 y

          70    8985     421  0.1440  0.0549 l

          14   12524      13  0.5172  0.0023 a

           .     246       .  0.5000  0.0080 ckhe
           .     314       .  0.5000  0.0063 eee
           2     723       1  0.6000  0.0069 ckh
           4    3803       2  0.6250  0.0021 ee

         382    2021     121  0.7584  0.2495 s

           4    1485       .  0.8333  0.0040 ke
         597   11409     108  0.8458  0.0620 d
           5     261       .  0.8571  0.0265 cthe
          18     901       2  0.8636  0.0243 cth
         505   21348      47  0.9134  0.0259 o
         130    7534       8  0.9357  0.0186 k
          25     814       .  0.9630  0.0330 te
         107    6067       3  0.9643  0.0185 ch
          30    3798       .  0.9688  0.0084 che
          39    1891       .  0.9756  0.0216 she
         147    2217       1  0.9867  0.0676 sh
         724    5445       6  0.9904  0.1344 t
         502    5080       .  0.9980  0.0992 q

           .       1       1  0.3333  0.7500 u
           3     265       .  0.8000  0.0187 e?
           1       3       .  0.6667  0.5000 c?
           1      22       .  0.6667  0.1200 x
           1      37       .  0.6667  0.0750 de
           .       3       1  0.3333  0.5000 iiil
           .       4       1  0.3333  0.4286 b
           .       1       .  0.5000  0.5000 iiid
           .       3       .  0.5000  0.3333 iis
           .       4       .  0.5000  0.2857 ith
           .       6       .  0.5000  0.2222 iid
           .       6       .  0.5000  0.2222 ikh
           .       7       .  0.5000  0.2000 id
           .       9       .  0.5000  0.1667 ct
           .      10       .  0.5000  0.1538 ck
           .      10       .  0.5000  0.1538 iil
           .      13       .  0.5000  0.1250 h?
           .      19       .  0.5000  0.0909 is
           .      28       .  0.5000  0.0645 il
           .      32       .  0.5000  0.0571 iiir
          21     403      31  0.4074  0.1330 ?
           .       1       .  0.5000  0.5000 '?
           .      73       .  0.5000  0.0263 i?


    Moderately final:

         bol     all     eol b/(b+e) (b+e)/a elem
     ------- ------- ------- ------- ------- ---------

    Basically indifferent: 

         bol     all     eol b/(b+e) (b+e)/a elem
     ------- ------- ------- ------- ------- ---------
           .       1       .  0.5000  0.5000 iiid
           .       3       .  0.5000  0.3333 iis
           .       4       .  0.5000  0.2857 ith
           .       6       .  0.5000  0.2222 iid
           .       6       .  0.5000  0.2222 ikh
           .       7       .  0.5000  0.2000 id
           .       9       .  0.5000  0.1667 ct
           .      10       .  0.5000  0.1538 ck
           .      10       .  0.5000  0.1538 iil
           .      19       .  0.5000  0.0909 is
           .      28       .  0.5000  0.0645 il
           .      32       .  0.5000  0.0571 iiir
           .     246       .  0.5000  0.0080 ckhe
           .     314       .  0.5000  0.0063 eee
        3908  126300    3908  0.5000  0.0619 TOTAL
          14   12524      13  0.5172  0.0023 a
           2     723       1  0.6000  0.0069 ckh

          21     403      31  0.4074  0.1330 ?
           .       1       .  0.5000  0.5000 '?
           .      13       .  0.5000  0.1250 h?
           .      73       .  0.5000  0.0263 i?


    Too rare to tell:

         bol     all     eol b/(b+e) (b+e)/a elem
     ------- ------- ------- ------- ------- ---------
           .       1       1  0.3333  0.7500 u
           .       3       1  0.3333  0.5000 iiil
           .       4       1  0.3333  0.4286 b



    gnuplot <<EOF
    set terminal x11
    plot "/tmp/cmp-counts.txt" using 2 with histeps 
    pause 300
  EOF

    /bin/rm /tmp/cmp-counts.txt

  Doing the same for labels:

  Comparing element frequencies (×10000): b-o-l, overall, e-o-l.

    foreach f ( sec-all-bol sec-all sec-all-eol ) 
      cat $f.ect \
        | est-probs \
        > $f.epr
      cat $f.epr \
        | gawk '/./{printf "%d %s\n", 10000*$2, $3;}' \
        > /tmp/$f.eprx
    end

  JUNK---

  Comparing element frequencies (×10000): b-o-l, overall, e-o-l

    cat `cat txt.pages | sed -e 's@^\(.*\)$@pages-evt/\1.els@'` \
      | sed -e 's/^\({[^{}]*}\).*/\1/' \
      | egrep '^{.*}$' \
      | tr -d '{}' \
      | egrep '.' \
      | sort | uniq -c | expand \
      | sort -b +0 -1nr \
      > sec-all-bol.ect

    cat `cat txt.pages | sed -e 's@^\(.*\)$@pages-evt/\1.els@'` \
      | sed -e 's/.*\({[^{}]*}\)$/\1/' \
      | egrep '^{.*}$' \
      | tr -d '{}' \
      | egrep '.' \
      | sort | uniq -c | expand \
      | sort -b +0 -1nr \
      > sec-all-eol.ect

    foreach f ( sec-all-bol sec-all sec-all-eol ) 
      cat $f.ect \
        | est-probs \
        > $f.epr
      cat $f.epr \
        | gawk '/./{printf "%d %s\n", 10000*$2, $3;}' \
        > /tmp/$f.eprx
    end
    /usr/ucb/echo -n "     "; \
    echo "bol all eol b-d" | sed -e 's/ /     /g' ;\
    ( compare-counts /tmp/sec-all{-bol,,-eol}.eprx \
        | gawk \
            ' /--/{printf " %7s %7s %7s %7s %s\n",$1,$2,$3,$3,$4;next;} \
              /../{printf " %7s %7s %7s %7.4f %s\n",$1,$2,$3,($1-$3)/(32*($2+1)),$4;} \
            ' \
        | sort -b +3 -4nr )

         bol     all     eol     b-d
     ------- ------- ------- ------- ---------
         947      98      10  0.2958 p
           5       .       .  0.1562 c?
         972     160     310  0.1285 s
        1277     402       .  0.0990 q
         896     333      10  0.0829 t
          81      25      15  0.0793 f
         376     176       5  0.0655 sh
           5       2       .  0.0521 de
           5       2       .  0.0521 x
        1518     903     277  0.0429 d
          15      11       .  0.0391 cph
          66      64       .  0.0317 te
          15      15       .  0.0293 cthe
        1285    1689     122  0.0215 o
         102     150       .  0.0211 she
         274     480      10  0.0172 ch
          36      60       8  0.0143 cth
          10      21       .  0.0142 e?
         254     571      10  0.0133 k
          79     301       .  0.0082 che
          13     118       .  0.0034 ke
           8      53       5  0.0017 ckh
          13     301       8  0.0005 ee
          38     990      36  0.0001 a
           .       .       .  0.0000 '?
           .       .       .  0.0000 cf
           .       .       .  0.0000 cp
           .       .       .  0.0000 iiid
           .       .       .  0.0000 iis
           .       .       .  0.0000 ij
           .       .       .  0.0000 iph
           .       .       .  0.0000 ith
           .       .       .  0.0000 pe
           .       1       .  0.0000 cfhe
           .       1       .  0.0000 ck
           .       1       .  0.0000 ct
           .       1       .  0.0000 h?
           .       1       .  0.0000 id
           .       1       .  0.0000 iid
           .       1       .  0.0000 iil
           .       1       .  0.0000 ikh
           .       2       .  0.0000 iiir
           .       2       .  0.0000 il
           .       2       .  0.0000 is
           .       4       .  0.0000 cfh
           .       5       .  0.0000 cphe
           .       5       .  0.0000 i?
           .      18       .  0.0000 ckhe
           .      25       .  0.0000 eee
          56      32      81 -0.0237 ?
           .      39      36 -0.0281 ir
           .       8      10 -0.0347 iir
         180     711    1071 -0.0391 l
          30     461     828 -0.0540 r
        1429    1220    3859 -0.0622 y
           .      95     292 -0.0951 in
           .     333    1117 -0.1045 iin
             .       7      38 -0.1484 iiin
             .       .       5 -0.1562 b
             .       .       5 -0.1562 iiil
             .       .       5 -0.1562 u
             5       2      28 -0.2396 j
             5       9     102 -0.3031 n
             .       1      23 -0.3594 g
             .       4      61 -0.3812 im
             .       1      28 -0.4375 iim
             5      72    1587 -0.6772 m