A Cryptographic Audit of Sir Francis Bacon’s Word Cipher (1623) · Outreach 5

The Complete Method

What it is — the full eleven-step algorithm, each step marked by how far it has been proven, with the hard numbers and the case for scanning Dr. Owen’s physical Cipher Wheel.
Where it fits — the master reference: the spine of the whole audit, which the other five documents each illustrate one part of.

The Eleven-Step Model · the master reference

The Eleven-Step Model

The complete, named algorithm of Owen’s Word Cipher — every component the primary sources name, each marked by how far it has been proven, with the callable function and the metrics that say how close we stand to proof

Riddle: How is an encryption algorithm like a Flight Recorder?

Bacon built the Word Cipher the way modern aviation builds a flight recorder — to survive almost anything. A black box works by keeping three things apart: a crash-survivable beacon loud enough to locate in the wreckage; a unique serial number that identifies the exact unit; and the recorded sequence of events, which no one can reconstruct from the debris alone — which is why the box has to physically carry it. Bacon’s fragments have the recorder’s decisive trait: each one is self-addressing. The guide and key ride inside the fragment, so its physical resting place — which play, which edition, where it sits on the Cipher Wheel — is irrelevant; scatter the wreckage and every module is still recoverable by its internal address. This model shows the cipher has that same three-part shape. The measurements below locate the beacon and read the serial. What internal addressing cannot supply is the final sequence among same-addressed pieces — and that is exactly what the physical canvas was built to hold.

The algorithm · every named component, promoted to a step

The eleven steps

ENTRY — the five guide words, Fortune first

Fortune, Nature, Honour, Reputation, Pan. Guides are not keys — they are “guides whereby to find the key words,” located by colour-marking every occurrence. Fortune is named “the first great guide”: begin where Fortune clusters.

Verified

DELIMIT — the guide’s sentence is the unit

“Pencil around every sentence containing the guide word, thus enclosing the keys as well.” The delimiter is the sentence boundary; each is typed onto its own sheet.

Mechanizable

KEY WORDS — the content-selectors that head each page

Flagged by capitals, parentheses, tilde marks, “frequent and unnecessary iteration,” and above all RARITY: “if some of the words are but rarely used, it doth even more conceal a Cipher mystery.”

Verified

CONCORDANT · single — a synonym of the key

Widens the catch: love → devotion, adore, adoration; king → majesty, highness, kingdom, court. So every related sentence is swept in, not just literal matches.

Open

CONCORDANT · double — a compound name built by “consort”

Two words coupled by similarity so a name is never set whole: Jude + ass → Jud-as. The least-explained device in the corpus, and the one most likely to carry a determinate constraint.

Open

SHIFT-CUES — the cues for moving between works

Owen: the key words, “repeated by count 10,641 times… and about them revolved the cues for shifting to the different works.” How the decipherer knows to jump from one play to another.

Open

THE SYSTEM — sort and collect by shared key

“Placing in piles all pages containing the same key words… unite and collect the dispersed and distributed matter.” The governing collection rule — stated in the sources, never explained.

Open

JOIN — like must be joined to like

Fit fragments of like key, meaning, or origin; add joining tissue. Because each fragment is self-addressing — the guide and key ride inside it — the coarse assembly (which pieces belong together) is carried by the keys and is determinate. Only the fine last-mile sequence among same-addressed pieces is left unforced by the text.

Open · last mile

TRANSPOSE — inversions and transpositions

Any joined sentence that “reads in a vague or unnatural manner” is transposed until the meaning appears — Owen’s “guides to the inversions and transpositions.” Rule-governed reordering, not read-straight-off.

Open

PARALLEL SENTENCE — weld parallel passages across works

A line built from matching passages in different works describing the same matter — “the parallels, concordances and similar matter.” Sherman’s example welds Winter’s Tale IV.4 with Bacon’s Essay on Gardens.

Partial

TYPOGRAPHIC MARKER — capital letters (claimed)

Sherman: Bacon “enclosed our name in such capital letters that he that runneth by may read.” Tested on the faithful Bodleian Folio, “Bacon” is only an ordinary initial capital. The real typographic cipher is italic-vs-roman — that is the biliteral cipher, not this one.

Falsified

Verified — machine-confirmed on the corpusMechanizable / Partial — codable, not yet fully testedOpen — named in the sources, not yet explainedFalsified — tested and did not hold

The measurements · how close to proof

Key metrics, computed on the 29-work corpus

Corpus: 29 first-edition works · 923,217 Folio word-tokens · 1,369 guide-word occurrences. Every number below is machine-computed and re-checkable.

top 0.00%

The beacon. The Fortune scene the method sends you to — As You Like It I.ii — is the single most guide-dense location in the entire Folio (density 10 vs. a mean of 0.18). Of 46,155 windows, zero are denser. The entry step is not diffuse; it is the loudest point on the map.

1 scene

Razor-sharp. Only 2 of 46,155 windows even reach that density — and they lie 20 words apart, i.e. the same scene. The guide beacon points to one place, not many.

1.0 / 0.33

The serial number. Fed the Troilus fragment, the function returns Ariachne (appears once in the whole Folio) → confidence 1.0, one site. Fed the As You Like It fragment it returns fauouredly (unique among the 29 works but 3× inside the Folio) → confidence 0.33, three candidate lines. A within-Folio hapax is a true address; a merely-rare word narrows, not pinpoints.

68%

Why rarity alone can’t detect. 68% of all Folio windows already contain some Folio-hapax word — early spelling made rare words ordinary. Rarity is a usable address only after a guide has already chosen the zone; it is not, by itself, a site-detector.

The complementary pair. The guide-beacon site (As You Like It, density 10) and the rare-key site (Troilus V.ii, density 1 but a Folio hapax) are opposites. Neither mode alone catches everything — which is exactly why the method carries both. Two of the eleven steps are now machine-confirmed, and they are precisely the black box’s beacon and serial: entry (step 1) and key (step 3).

An original flight-recorder illustration: the beacon (guide-word entry, step 1), the serial (rare-key address, step 3), and the stored sequence carried only by the box itself (the physical wheel, steps 6-9) — The black box, labelled: the **beacon** is the guide-word entry; the **serial** is the rare-key address; the **stored sequence** lives only on the physical wheel.

The algorithm, resolved to code

One callable function, both directions

The objective core of the eleven steps reduces to a short function over the corpus index. It runs both ways: give it an Owen fragment and it finds the Folio site; give it a Folio site and it returns the metrics.

# df(w) = number of the 29 works containing w ; folio_count(w) = times in the Foliodef locate(fragment):            # DIRECTION A: Owen fragment -> Folio site     keys = [(w, df(w), folio_count(w)) for w in set(words(fragment))             if folio_count(w) > 0 and df(w) <= 3]     keys.sort(key=lambda t: (t[1], t[2]))          # rarest first     w, d, fc = keys[0]     return dict(key=w, sites=folio_positions(w),                 pinpoint=(fc == 1), confidence=1/fc/d) def score_site(center, r=60):        # DIRECTION B: Folio site -> metrics     gd = sum(1for g in guide_positions if center-r <= g <= center+r)     rare = [w for w in window(center, r) if df(w) <= 2]     return dict(guide_density=gd, rarest_keys=rare,                 has_pinpoint=any(folio_count(w) == 1for w in rare))

locate(“…admits no orifex … as Ariachne’s broken woof…”)
→ {key:’ariachne’, sites:[1], pinpoint:True, confidence:1.0}

score_site( As-You-Like-It · I.ii )
→ {guide_density:10, rarest_keys:[‘fauouredly’,’reignes’], has_pinpoint:False}

This is the machine-checkable half of the model. It can be pointed at any of the five Owen volumes’ fragments (Direction A) or swept across every scene of the Folio (Direction B).

The decision the metrics force

Does scanning advance the case? Yes — and the numbers say where

The black box separates cleanly. The beacon (entry) and the serial (key) are text-solved — sharp, objective, re-checkable, and they land on Owen’s own founding sites. That much of the story survives on paper alone, four centuries on.

The final sequence does not — but far less is missing than it first appears. Because the fragments are self-addressing, the surface order is irrelevant by design and the coarse assembly is determinate: the keys tell you which pieces belong together (step 7). What the words leave unforced is only the last-mile order among pieces that share an address — the seams there admit several orderings, so Owen’s fine sequence is coherent but not compelled by the Folio. Steps 6, 7, 9 (shift-cues, “the system,” transposition) feed that last-mile decision.

Verdict. The one place the missing ordering could physically live is where Owen actually worked — the colour-marked canvas and wheel, where the pencil guides, the key headers, and the arrangement itself are recorded. That is the flight recorder’s stored sequence. Scanning it is what would move steps 6–9 from Open toward Verified — and this model is now precise about the gap it would fill: not the entry, not the address, not even the coarse assembly, but only the last-mile order. That is the concrete case for building the bespoke scanner.

The Eleven-Step Model · reverse-engineered from Sherman (Baconiana, April 1895) and Owen (Volume I), tested against the Millett known-plaintext and the Bodleian First Folio TEI, and measured on a 29-work first-edition corpus (First Folio + 28 sources). Guide-density, rarity, and locational metrics computed 2026-08-14; every figure re-checkable via the function above. Research by Walter H. Wilkinson · New Gorhambury · gorhambury.org

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