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What are the word records for letter-shift pair (shift letters to new letters in the alphabet to form...

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New entry, edited from material collected for the archive and not yet in a released version.

Problem

What are the word records for letter-shift pair (shift letters to new letters in the alphabet to form another word)?
(Spelling / Alphabetical Order / Entire Word)

  a.  rot-13 pair (shift letters by half the alphabet to form another word)
  b.  fixed offset shift pair (shift letters by a fixed offset to form another word) [L139,2-24,11-188,12-243,13-27,23-59]
  c.  changing offset shift pair (shift letters by a changing offset to form another word), longest [12-50]
  d.  multiplicative offset shift pair (shift letters by a multiplicative factor through alphabet to form another word), longest [15-48]
  e.  shiftgram pair (shift letters through alphabet and transpose to form another word), longest [M179, 12-218,13-22,88,182]
  f.  atbash pair (reflect letters across center of alphabet) [37-50]

[ Editor: question framed by the editor from the headings of the Taxonomy of Wordplay. ]
Show solution
[ Editor: from the Taxonomy of Wordplay, www.questrel.com, retrieved 28 Oct 2026. Classes (common, uncommon, hyphenated words, phrases), scores, ties (-t) and the source codes in brackets are explained in language/english/word.records.introduction. ]

e.g., HAL = IBM: H + 1 = I, A + 1 = B, L + 1 = M
        a.  rot-13 pair (shift letters by half the alphabet to form another word)
                i.  longest
                        common words: creel & perry (5-t)
                        common words: green & terra (5-t)
                        uncommon words: abjurer & nowhere (7-t)
                        uncommon words: chechen & purpura (7-t)
                ii.  longest reversed
                        common words: rebore & rebore (6-t)
                        common words: ravine & ravine (6-t)
                        uncommon words: tavering & tavering (8)
        b.  fixed offset shift pair (shift letters by a fixed offset to form another word) [L139,2-24,11-188,12-243,13-27,23-59]
                i.  longest
                        common words: primero & sulphur [shift of 23] (7)
                        uncommon words: corocoro & wiliwili [shift of 6] (8)
                ii.  longest reversed
                        common words: rebore & rebore [shift of 13] (6-t)
                        common words: bonnet & judder [shift of 10] (6-t)
                        common words: hitter & napped [shift of 22] (6-t)
                        common words: ravine & ravine [shift of 13] (6-t)
                        common words: lethal & shoals [shift of 19] (6-t)
                        uncommon words: tavering & tavering [shift of 13] (8)
                iii. longest multiple
                        common words: diffs = cheer = jolly [shifts of 25, 6] (5)
                iv. most multiple
                        common words: ply = ean = ier = sob [shifts of 15, 19, 3] (3-t)
                        common words: sap = god = owl = wet [shifts of 14, 22, 4] (3-t)
                        uncommon words: obo = ana = bob = ere = huh = nan = viv [shifts of 12, 13, 16, 19, 25, 7] (6-t)
                        uncommon words: cui = ewk = gym = iao = mes = sky = uma [shifts of 2, 4, 6, 10, 16, 18] (6-t)
        c.  changing offset shift pair (shift letters by a changing offset to form another word), longest [12-50]
        e.g., EMU = FOX: E + 1 = F, M + 2 = O, U + 3 = X
                common words: fracas & oblong [shift of 9] (6-t)
                common words: rostra & sorrow [shift of 25] (6-t)
                common words: talcum & uakari [shift of 25] (6-t)
                uncommon words: kahikateas & nemoricole [shift of 3] (10)
        d.  multiplicative offset shift pair (shift letters by a multiplicative factor through alphabet to form another word), longest [15-48]
        e.g., ONE = WRY: O * 5 = W, N * 5 = R, E * 5 = Y
                common words: humani & namers [factor of 5] (6-t)
                common words: bonobo & revere [factor of 9] (6-t)
                uncommon words: dildoes & rubrica [factor of 11] (7-t)
                uncommon words: forebay & pavings [factor of 7] (7-t)
                uncommon words: cereals & kanauri [factor of 21] (7-t)
                uncommon words: martels & mundari [factor of 21] (7-t)
                uncommon words: nomexes & tamilic [factor of 7] (7-t)
        e.  shiftgram pair (shift letters through alphabet and transpose to form another word), longest [M179, 12-218,13-22,88,182]
                common words: deflectors & distraught [shift of 11] (10-t)
                common words: nonnuclear & reflective [shift of 17] (10-t)
                common words: preserving & refractive [shift of 13] (10-t)
                common words: spaghettis & stepladder [shift of 15] (10-t)
                common words: forbidding & twinklings [shift of 5] (10-t)
                uncommon words: pentadactyle & precipitants [shift of 15] (12)
                phrases: harlequin opal & presumptively [shift of 4] (13-t)
                phrases: doppler effect & tertius gaudet [shift of 11] (13-t)
        f.  atbash pair (reflect letters across center of alphabet) [37-50]
        e.g., ARK = ZIP: A = Z, R = I, K = P
                i.  longest
                        common words: grogs & tilth (5)
                ii.  longest reversed
                        common words: boorish & shrilly (7)
                        hyphenated words: klop-klop & klop-klop (8)

-- Taxonomy of Wordplay, www.questrel.com

[ Editor: a 1994 compilation of rot-13 word pairs (each word becomes
the other when every letter is moved 13 places along the alphabet),
sent to the archive by Pete Mitchell, followed by Richard Sabey's list
in reply to Mark Meyerson's original posting. ]

For those words that came from multiple sources (of which there were
many) I mention only the source that reached me first.  Words with no
name mention were those on my original posting.  No attempt to
determine originality has been made, and such should not be inferred.
No validation has been done on my part; in other words, don't complain
to *me* if something in the list isn't a real word.  Any further
disclaimers not explicitly thought of above are hereby officially
implied by this last catch-all disclaimer.  :-)

Now comes the hard part; making sentences...anyone???  :-)

---------------------------------------------------------------------------
ab       no        - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
abba     noon      - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
abe      nor       - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
abjurer  nowhere   - courtesy "Tim Chow - tycchow@math.mit.edu"
abo      nob       - courtesy "Tim Chow - tycchow@math.mit.edu"
ah       nu
aha      nun       - courtesy "Tim Chow - tycchow@math.mit.edu"
an       na        - courtesy "Tim Chow - tycchow@math.mit.edu"
anil     navy      - courtesy "Tim Chow - tycchow@math.mit.edu"
ant      nag
arg      net       - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
arne     near      - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
avo      nib       - courtesy "Tim Chow - tycchow@math.mit.edu"
ba       on        - courtesy "Tim Chow - tycchow@math.mit.edu"
balk     onyx
bar      one
barf     ones
bc       op        - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
be       or
becuna   orphan    - courtesy "Jim Gillogly - jim@acm.org"
been     orra      - courtesy "Tim Chow - tycchow@math.mit.edu"
beg      ort       - courtesy "Tim Chow - tycchow@math.mit.edu"
ben      ora       - courtesy "Tim Chow - tycchow@math.mit.edu"
bess     orff      - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
bin      ova
bl       oy        - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
bp       oc        - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
bs       of        - courtesy "Mark - mdm@usna.navy.mil"
bub      oho       - courtesy "Tim Chow - tycchow@math.mit.edu"
cb       po        - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
cf       ps        - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
chat     pung      - courtesy "Tim Chow - tycchow@math.mit.edu"
chechen  purpura   - courtesy "Jim Gillogly - jim@acm.org"
chef     purs      - courtesy "Tim Chow - tycchow@math.mit.edu"
cher     pure
cheryl   purely    - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
clerk    pyrex     - courtesy "Jim Gillogly - jim@acm.org"
craal    penny     - courtesy "Tim Chow - tycchow@math.mit.edu"
crag     pent
creel    perry     - courtesy "Tim Chow - tycchow@math.mit.edu"
cu       ph        - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
cv       pi        - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
di       qv        - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
ebbs     roof
en       ra        - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
ena      ran       - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
eng      rat       - courtesy "Tim Chow - tycchow@math.mit.edu"
eno      rab       - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
ent      rag       - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
envy     rail
ep       rc        - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
er       re        - courtesy "Tim Chow - tycchow@math.mit.edu"
erg      ret       - courtesy "Tim Chow - tycchow@math.mit.edu"
erne     rear      - courtesy "Tim Chow - tycchow@math.mit.edu"
errs     reef      - courtesy "Tim Chow - tycchow@math.mit.edu"
ers      ref       - courtesy "Tim Chow - tycchow@math.mit.edu"
faber    snore     - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
ff       ss        - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
flap     sync
frag     sent      - courtesy "Tim Chow - tycchow@math.mit.edu"
freer    serre     - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
frere    serer     - courtesy "Tim Chow - tycchow@math.mit.edu"
fry      sel       - courtesy "Tim Chow - tycchow@math.mit.edu"
fund     shaq
fur      she
gel      try
ghat     tung      - courtesy "Tim Chow - tycchow@math.mit.edu"
gnat     tang
green    terra
gul      thy       - courtesy "Tim Chow - tycchow@math.mit.edu"
ha       un        - courtesy "Tim Chow - tycchow@math.mit.edu"
hern     urea      - courtesy "Tim Chow - tycchow@math.mit.edu"
hi       uv        - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
if       vs
ink      vax       - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
iq       vd        - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
iraq     vend
irk      vex
iv       vi        - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
jp       wc        - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
jr       we        - courtesy "Mark - mdm@usna.navy.mil"
jun      wha       - courtesy "Tim Chow - tycchow@math.mit.edu"
junes    wharf     - courtesy "Mark - mdm@usna.navy.mil"
jung     what      - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
jura     when      - courtesy "Tim Chow - tycchow@math.mit.edu"
lb       yo        - courtesy "Jonathan R. Partington - pmt6jrp@gps.leeds.ac.uk"
---------------------------------------------------------------------------

-- Pete Mitchell <pwm@mv.mv.com>

Jim Gillogly <jim@acm.org> sent a short Perl program that reads a word
list, rot-13s each word and reports the words already seen [ Editor:
program omitted ], and added:

> After you run this on Webster's 2nd, you might try assigning to your
> English class the task "Use ABJURER and BECUNA in the same sentence.
> Extra credit for either PURPURA or CHECHEN."  I kinda like
> PYREX/CLERK, also.

----------

Here are some rot13 word pairs.  None of these is in article 14861 of
rec.puzzles, id <Cw86Iy.15M@usna.navy.mil>, posted by mdm@usna.navy.mil
(PROF Mark Meyerson (SMA FAC)).

abe     nor
abjurer nowhere
abo     nob
ah      nu
ana     nan
arne    near
beg     ort
ben     ora
bin     ova
chat    pung
crt     peg
cuba    phon
era     ren
erg     ret
err     ree
eva     rin
flap    sync
gent    trag
greeny  terral
gul     thy
han     una
her     ure
hern    urea
ink     vax
iv      vi

Note that some of these are names (Abe, Arne, Cuba, Eva, Han) or Roman
numerals (iv, vi), CRT is an initialism, and VAX is an acronym.

Note the impressively long "abjurer", "nowhere".  The Questrel archive
has the pair "primero", "sulphur" as the longest pair of words where
one is the other, letter shifted by ANY amount.  So "abjurer",
"nowhere" equals the Questrel record for a pair of words where one is
the other, letter shifted, if the alphabet is regarded as cyclic.

I like "green terra", too.  Also "greeny", "terral", which are both
adjectives.  Note the similarity in meaning of "irk" and "vex", too (in
Professor Meyerson's list).

-- Richard Sabey <rsa@swindon.gpsemi.com>

[ Editor: more on rot-13 pairs, rec.puzzles, October and December 1997.
A list of rot-13 pairs by Fred Curtis had included tang=gnat. ]

Trevor Janes <tjanes@newbridge.com> wrote:
>  tang = gnat
>
>  Not only is one word the rot13 transformation of the other, but one
>  is the palindrome of the other! That's gotta be rare!  Maybe unique.
>  Certainly interesting.

Actually, each is the reversal of the other, not a palindrome.  A
palindrome is a sentence, bunch of words, etc. which reads the same
backwards as it does forwards.  A reversal is merely reading something
in reverse.

I think that it's much more amazing that words were found (VEX, IRK)
that are rot-13's of each other as well as synonyms.

-- C. Kenneth Stern <ken.stern@yale.edu>

I don't know if this is in the FAQ or not, but it has given me several
minutes of fun perl programming.  Below you can find my results.  Of
course, "abba" is not really a word, but if you are trying to encrypt
your paper on Scandinavian musical groups, it might matter.  The last
one is simply amazing: not only do irk and vex rot13 into each other,
they are synonyms!

abba    noon
aha     nun
ant     nag
balk    onyx
bar     one
bare    oner
be      or
beg     ort     (ort - a scrap or morsel left after a meal)
belk    oryx
bin     ova
chat    pung
crag    pent
creel   perry   (creel - a wicker basket.  perry - fermented pear juice (!))
envy    rail
erg     ret     (ret - to soak, esp. flax.  Good crossword word)
erne    rear    (erne - eagle. Another good crossword word)
fur     she
gag     tnt
gel     try
gnat    tang
green   terra
gul     thy
hern    urea    (hern - var. of heron.  A stretch to be in the list)
hin     uva     (hin - ancient Hebrew liquid measure.  uva - a
                grape-like fruit.  Both of these are rather poor)
irk     vex

-- Clark Dorman <clark@s3i.com>

[ Editor: a partial list by Mike Naylor in the same thread (all of whose
pairs appear above) ended "and the longest: abjurer-nowhere." ]