A2 E3 B2 A3 A1 C2 G1 A3 D1 H2 B3 F2 F1 B1 F2 C3 …
orientation A–H (opening right, then clockwise) · arcs 1–3 · 87 signs, 20 of 24 used

Malvern → Dora Penny, Wolverhampton · 24 arc signs · 14 July 1897 · not solved

Elgar’s Dorabella cipher

Edward Elgar
fromEdward Elgar

Edward Elgar’s 87-sign note to Dora Penny, tested here in fifty calibrated rounds; no language, key or plaintext form gives a reading, and what is left needs a second text or a better image.

Daniel Bourdeau · attempted · updated

At a glanceNot solved · text not obtained

The document
A slip of 87 signs in three lines, dated 14 July 1897, sent by Edward Elgar to Dora Penny inside a letter from Alice Elgar to Dora’s stepmother after the Elgars’ visit to Wolverhampton.
Where
The original is lost. The source is the plate on p. 98 of Dora Powell’s Edward Elgar: Memories of a Variation (1937); the 1949 edition differs by a second dot.
The cipher
Each sign is one, two or three arcs facing one of eight directions: 24 possible signs, 20 of them used. Elgar’s notebook key of the 1920s is one ordered layout of these 24 signs.
How it was tried
Fifty rounds, every hypothesis scored on Dorabella, on shuffled copies of its signs, and on real English put through the same system; a reading has to reach the level the real text reaches.
What it shows
The signs flip to the opposite direction 27 times, against 12.6 by chance. Any key that changes as it goes would wash that out, so a message would use one fixed table; under one fixed table nothing reads.
Still open
Whether it is a message at all, or a sequence with strong writing habits; this cannot be decided from 87 signs. A second text in the same system or a cleaner plate would.
Credit
Transcription: Hauer, Choi, Hindle, Smallwood and Kondrak (2025). Independent tests: Cooper Jager (2026). Prior analysis: Wase (2023), Nick Pelling, Klaus Schmeh.

01 The note

Three lines of small semicircle signs in one, two or three arcs, each facing one of eight directions, with a dot above the first line
The cipher as printed in the first edition of Dora Penny’s memoir, the only source since the original was lost. Image: Dora M. Powell, Edward Elgar: Memories of a Variation (Oxford University Press, 1937), p. 98, via the Internet Archive (Digital Library of India, in.ernet.dli.2015.155431).

Dora Penny printed the note as an appendix to her memoir of Elgar, saying it was “the third letter I had from him, if indeed it is one” and that it had come enclosed in a letter from Alice Elgar after the Elgars’ visit to Wolverhampton in July 1897. On the back was written “Miss Penny”. She never had an explanation of it. The mark under the third line is a date, 14 July ’97, not a signature.

The transcription used throughout is the five-reader consensus of Hauer et al. (2025): each sign is written as its orientation, A to H going clockwise from “opens to the right”, and its number of arcs, 1 to 3. The three lines have 29, 31 and 27 signs. Twenty of the 24 possible signs occur; the commonest, F2, eleven times. Readers disagree on 11 positions; a measurement of the 1937 scan here reclassifies 17 signs, and Cooper Jager’s 2026 reading differs at five. All of these readings were tested.

02 What the signs show

Three facts hold whatever key is assumed.

One caution, first made by Jager: shuffles that keep every adjacent pair of the note match it on all of these, and on repeats two to four signs apart. A writer who chooses each sign from the one before, with strong habits, fits the statistics as well as English does. At 87 signs the two cannot be told apart.

03 How it was tested

Every hypothesis was scored three ways: on the note; on copies with its signs shuffled, or shuffled keeping every adjacent pair; and on real text, usually windows of Elgar’s own letters to the Pennys, put through exactly the system being tested. A result counts as a reading only if the note reaches the range of the real text and its decode splits into real words of the language; scoring above the shuffles alone only reflects the note’s known structure.

The solver’s power was measured, not assumed. With the fast settings used in the first rounds, 87 letters of Elgar’s letters were recovered only 42% of the time; the failures were search failures, and with sixty restarts eleven of twelve windows were recovered (93–100%). From round 31 on, the main branches were run again at that strength or more, up to 920 independent long runs on 23 processor cores.

04 What was ruled out

BranchResult
Simple substitution in English and in Elgar’s own register3,680 long runs: best −2.71 per letter, below every real Elgar window (−1.80 to −2.56); a flat field of different gibberish texts
Up to six misread signsControls with six seeded misreads recovered at 89–95%; the note no better than its shuffles
Homophones (two signs for a letter)Controls recovered 3 of 4; the note level with its shuffles, decodes segment like failed controls
Latin, French, German, Italian, Spanish, Dutch, Portuguese, Danish, Swedish, Welsh, Hungarian, PolishOwn-language controls recovered at 83–100%; the note at or just above its shuffles in each
Back-slang, reversed text, abbreviations, English without vowels, phonetic spelling, syllables, word initialsNegative; the vowel-less form came closest and its decode splits into word skeletons no better than shuffles do
Elgar’s notebook alphabet, every ordered layout (1,081,600)Best −5.06 per letter, gibberish
Keyed systems: Vigenère, Beaufort, autokey, running keys from the Bible, Shakespeare, verse and Powell, Nihilist with COURAGE, the Roe grid with all 5,040 group ordersNegative, and excluded as a class by the flips (section 05)
Transpositions, reading orders, mirror writing, nulls, word spacesNegative; the written order already has the most repeated pairs
Bacon, Morse, semaphore pairs, note names, PlayfairNegative; Playfair impossible, since two identical signs would fall inside one pair
Cribs: openings, sign-offs, the July 1897 visit, Elgar’s practice phrases, the Lullaby he played that week (tune and words)Negative; no sign-off can end the note, since its last two signs differ
Known quotations: every 87-letter window of the King James Bible, Shakespeare, Longfellow (including King Olaf), Tennyson, Browning and Elgar’s lettersBest fit 37 of 87; shuffles 35; a real quotation with six misreads 80
Spanish words under the notebook key (Padgett): the transcription does contain peca, cerre, sed, ser and othersNot evidence of Spanish: random keys on the same signs cover as much of the note with Spanish words (30 of 87 against a mean of 29.4, P 0.47), and English, French, Italian, Latin and German do no differently
The published solutions in Bauer, Unsolved! ch. 3 (Sams 1970, Palmer 2007, Roberts 2009), read as keysPalmer’s fits 83 of 87 signs on one key but reads only after back-slang and respelling; Roberts’s fits 58; Sams’s has 94 letters for 87 signs
Elgar’s own keywords from his Schooling cards (TRUTH, MERCURY) and other context wordsNegative, far below recovered controls
The 1886 Liszt fragment as a second text under the same keyNegative: 105 signs together score inside the shuffles
Elgar’s notebook key with some signs drawn turned round (180°, 90°, mirrored), suggested by the excess of opposite flipsNegative: controls with a third of their signs turned are recovered; the note does no better than random keys given the same freedom
Elgar’s “Cryptogram” card, read at full resolutionIts signs step through the eight directions in order: an alphabet exercise, not a message

05 The flips and the fixed table

The flips are a property of how letters sit on the dial, so they survive only if the dial stays the same. When English is enciphered with a fixed table that puts common neighbours on opposite sides, the flips come out at 24.5 on average and reach 27 a third of the time; when any changing key is added (a periodic dial turn, Vigenère, autokey, a running key, Nihilist), they drop to 8–12 and reach 27 in at most one sample in a thousand. If the note is a message, Elgar wrote it with one fixed table throughout. English under such a flip-heavy table reproduces all six measured statistics at once (P 0.71), which neither a simple pseudo-writer (0.008) nor English under a random key (0.013) does.

That is what makes the failure informative. With the transcription as it stands, English under one fixed table would be found about nine times in ten; the long search instead returns a flat field of different gibberish texts, none recurring, all below the worst real Elgar window.

06 Where it stands

Under the consensus transcription, the note is not English, Elgar’s own register, any of eleven other languages or any of the plaintext forms tried, written with one fixed table, with up to six misreads or with homophones. Two explanations remain, and 87 signs cannot separate them:

Undecidable at this length: a writer’s pair habits against language, a key changing partway, ten or more misreads, sign pairs or word signs standing for letters.

07 What would finish it

08 Sources

Everything is in targets/dorabella/ in the project repository: NOTES.md (the full record, steps 1–30), HYPOTHESES.md (the hypothesis map with every branch’s status), runs/loop.md and runs/ledger.tsv (all fifty rounds and every number), the test harness (hyp.py, rounds.py, bigsolve.py), the transcriptions (ct.txt, ct_measured.txt, ct_jager.txt) and the interactive map (hypothesis-map.html).