Elgar's Variation XIII REX Cipher

Jesu Rex Gloræ.

(Jesus, King of Glory)

From the Catholic Litany of the Holy Name of Jesus

The British Romantic composer Edward Elgar was obsessed with cryptography, the discipline of coding and decoding secret messages. His interest in that esoteric art merits an entire chapter in Craig P. Bauer’s treatise Unsolved! Much of the third chapter is devoted to Elgar’s brilliant decryption of an allegedly insoluble Nihilist cipher presented by John Holt Schooling in the April 1896 issue of The Pall Mall Magazine. A Nihilist cipher is a derivative of the Polybius square. Elgar was so delighted with his solution to Schooling’s reputedly impenetrable code that he brags about it in his first biography published in 1905 by Robert J. Buckley. Elgar painted his decryption in black paint on a wooden box, an appropriate symbol as another name for the Polybius square is a box cipher. Elgar’s detailed decryption of the six-word solution — “He who fears is half dead” — is summarized on a set of nine index cards.

A decade of concerted analysis of the symphonic Enigma Variations has netted over ninety cryptograms in diverse formats. These ciphers encode a set of mutually consistent and complementary solutions that furnish definitive answers to the core questions posed by the Enigma Variations. What is the secret melody to which the Enigma Theme is a counterpoint and serves as the foundation of the ensuing movements? Answer: Ein feste Burg (A Mighty Fortress) by Martin Luther. What is Elgar’s “dark saying” nestled within the Enigma Theme? Answer: A musical Polybius box cipher embedded in the opening six bars. Who is the secret friend and inspiration behind Variation XIII? Answer: Jesus Christ, the Savior of Elgar’s Roman Catholic faith and the subject of his first sacred oratorio, The Light of Life (Lux Christi).

Variation XIII is undoubtedly the most unconventional of the movements from the Enigma Variations. Its title of three mysterious asterisks enclosed by parentheses is followed by the subtitle Romanza. This movement harbors no discernable melodic connection to the Enigma Theme, prompting Francis Donald Tovey to classify it as a “free episode . . . the most romantic thing in the world.” Instead, it features four melodic incipits of a subordinate theme from the concert overture Calm Sea and Prosperous Voyage (Meeresstille und glückliche Fahrt) by Felix Mendelssohn. This sea change represents a significant departure from all of the other movements. An influential early Romantic composer of the German School, Mendelssohn generated renewed interest in Bach’s music with a performance of the St. Matthew Passion in 1829. He also founded the Leipzig Conservatory in 1843. Elgar desperately wanted to attend that prestigious institution but lacked the funds to pursue his dream.

As I scrutinized Variation XIII, I stumbled on an elementary acrostic cipher embedded within its cryptic title. It is embarrassing to admit that it eluded my notice until now. The title page of Variation XIII from the published orchestral score appears below:

The title consists of the following three elements:

1. XIII.
2. (✡ ✡ ✡)
3. Romanza.

It was previously determined that the Roman numerals are an elementary number-to-letter cipher that encodes the initials for Elgar's secret friend. X is the number ten, and the tenth letter of the alphabet is J. III stands for three, and the third letter is C. Consequently, the Roman numeral XIII is a coded version of the initials for Jesus Christ. That is an unsurprising decryption for a Roman Catholic who composed such sacred oratorios as The Light of Life (Lux Christi) and The Dream of Gerontius. Elgar employed the same technique with Variation IX to encipher the initials for August Jaeger, his friend at Novello whom he adroitly nicknamed Nimrod.

As the Roman numerals XIII encode the initials for Elgar's not-so-secret friend, what could be the meaning of the three cryptic asterisks? Those missing letters are cleverly encoded by the first initials of the titles from the adjoining movements. The first initials from the titles of Variations XII (B) and XIV (E, and F) are an acrostic anagram of the initials for the covert Theme (Ein feste Burg). Elgar deftly frames the question posed by the three asterisks with the answer hidden in plain view. This acrostic anagram ensconced within the titles of Variations XII and XIV is an elementary cryptogram dubbed the Letters Cluster Cipher. The numbers 12 and 14 are interesting because their corresponding first and second digits may be paired off to form the numbers 11 and 24. There are 11 discrete letters and a total of 24 letters in the covert Theme’s complete six-word title, Ein feste Burg ist unser Gott. 

Elgar experimented with five different orderings of the movements for the Variations, something that in retrospect was done to construct this ingenious cipher. Such a possibility eludes scholars like Julian Rushton who irrationally speculate that Elgar lacked the time to construct any cryptograms. Elgar began openly composing the Enigma Variations in earnest on October 21, 1898. He completed the orchestration on February 19, 1899. This process consumed 121 days, a period that afforded more than enough time and opportunity for Elgar to indulge his passion for cryptography. How Rushton recast a four-month period into a three-day window for cryptograms is a genuine enigma.

Prior research also found that the Mendelssohn fragments encode the same three letters disclosed by the Letters Cluster Cipher. This cryptogram relies on the number of times a Mendelssohn fragment is stated in a given key to pinpoint the corresponding scale degree of that mode, unveiling the solution letter. Two Mendelssohn quotations in A-flat major implicate the second scale degree of that key which is B-flat. One Mendelssohn fragment in F minor indicates the first scale degree of that mode, the tonic note F. There is one final Mendelssohn quotation in E-flat major, and the first scale degree of that key is E-flat. The note letters enciphered by the Mendelssohn Fragments Scale Degrees Cipher are in order of appearance B, F, and E. That is the reverse order of the initials for Ein feste Burg. This cryptogram is known as the Mendelssohn Fragments Scale Degrees Cipher.

Why would Elgar encipher the initials of the covert Theme backward within the Mendelssohn fragments? An ostinato figure that reprises the Enigma Theme’s palindromic rhythm accompanies those seemingly extraneous incipits, suggesting a link between the two disparate themes. The encoding by the Mendelssohn fragments of the hidden melody’s initials in reverse order above an Enigma-like ostinato intimates a retrograde mapping of the secret tune above the Enigma Theme. Such an insight is vital to decoding Elgar’s contrapuntal mapping of Ein feste Burg above the Enigma Theme. Just as the initials of the absent Theme are spelled backward via the Mendelssohn fragments, so too is the covert Theme played backward “through and over” the Enigma Theme.

Now reconsider the three-part title from Variation XIII with the absent letters denoted by the asterisks filled in. Their first letters are a reverse acrostic of “REX”, the Latin word for king. That same word — Rex  — is also enciphered by proximate title letters in Variations XIII and XIV. Elgar was very familiar with the Latin language. Between 1863 and 1872, he was educated at three different Roman Catholic schools where he received instruction in Latin and regularly attended the Latin Mass.

1. XIII.
2. (EFB)
3. Romanza.

Just as the initials “EFB” are enciphered in reverse order by the Mendelssohn fragments, so too are the letters for “REX” as an acrostic by the three-part title. This consistency is supportive of a deliberate design. The sum of characters in the Roman numerals is five including the period. The same holds true for the second title element with three asterisks enclosed by two parentheses. These two title elements with five characters each suggest a coded version of Elgar’s initials because the fifth letter of the alphabet is E. Elgar routinely initialed his correspondence “EE” in place of his name. A discrete subset of cryptograms within the Variation bears his duplicate initials. One example is an acrostic anagram formed by the seven performance directions in the Enigma Theme’s opening measure that enciphers “EE’s Psalm.” There are 46 characters in those performance directions that implicate Psalm 46, the chapter that supplies the title for Luther’s greatest hymn.

A sign was displayed at the crucifixion of Jesus to advertise his capital offense or Titulus Crucis. It was written in three languages: Hebrew, Latin, and Greek. The Latin version “IESVS NAZARENVS REX IVDÆORVM” translates into English as “Jesus the Nazarene King of the Jews.” REX is the third word on Jesus' death warrant. One of his many biblical titles is “King of Kings.” At his crucifixion, Jesus wore a crown of thorns. The identity of his barbaric executioners is blatantly announced by the subtitle Romanza with its first two syllables pronounced like Romans. Goethe's “deathly stillness” (Todesstille), poetically symbolized by a calm sea and sonically depicted by the Mendelssohn fragments, alludes to the death of Elgar's special friend. There is a symbolic oceanic connection to the crucifixion of Christ who likened his death and resurrection to the Sign of Jonah, a prophet who spent three days and nights in the belly of a “great fish.” The Roman numerals for Christ’s movement conveniently furnish the cross (X) and three nails (III), prominent hallmarks of the Jesuit Christogram. Elgar wrote the initials (A. M. D. G.) of the Jesuit motto “Ad majórem Dei glóriam” as a dedication for his major oratorios such as The Dream of Gerontius, The Apostles, and The Kingdom.

Other cryptograms implicate the death of Jesus in Variation XIII such as the Dead G-D Cipher. Symbolically buried in the lowest staff of the full score in Variation XIII, the bass section plays the notes D-E-A-D four measures after Rehearsal 55 and a second time four bars after Rehearsal 59. Incredibly, the bass part literally spells out what Elgar symbolically portrays with the conspicuous Mendelssohn fragments. Variation XIII is framed in the key of G major. The discrete notes in Elgar’s spelling of “dead” are D, E, and A. In the key of G major, the scale degrees of D, E, and A are 5, 6, and 2, respectively. When those three scale degrees are converted into their corresponding letters in the alphabet using a simple number-to-letter key, they become E, F, and B. The initials of the secret melody are encoded in order by the DEAD Notes Scale Degrees Cipher. Those letters are the initials in order for the covert Theme, Ein feste Burg. The name of Elgar’s special friend who died and rose from the grave is cited in the second stanza of Luther’s renowned hymn about Him.

On the heels of each spelling of “dead” in the bass line, the identity of who died is answered by the flute, oboe, and clarinet. Six bars after Rehearsal 55, the principal flute and principal oboe play in unison a G followed by D. Seven bars after Rehearsal 55, the principal clarinet repeats that same melodic sequence for a third time. This same pattern is reiterated six and seven bars after Rehearsal 59. Elgar’s answer to the question of who died is G-D, a common phonetic spelling of God. Three melodic note sequences of G-D intimate the Trinity with two overlapping to suggest God the Father and his earthly incarnation, God the Son. Elgar’s Roman Catholic faith leaves only one credible candidate for a God who died: Jesus Christ. Elgar raises a question by encoding the word DEAD in the lowest part of the score and then answers it in the three highest staves with three codes references to G-D. The use of three different woodwinds to spell out a phonetic rendition of “God” in the top three staves of the score is a transparent Trinitarian allusion.

The overt and covert titles of Variation XIII are a reverse acrostic spelling of REX, the Latin word for King. That is the third Latin word on the sign displayed at the crucifixion of Christ, the friend commemorated in that movement. One of his unique scriptural titles is “King of Kings.” Other ciphers in Variation XIII encode the initials of the covert Theme, Ein feste Burg. The reverse decryption of Mendelssohn Fragments Scale Degrees Cipher as “BFE” alludes to a retrograde counterpoint of the clandestine Theme over the Enigma Theme. The scale degrees of the unique notes in the DEAD Notes Cipher also encipher the initials for the covert Theme in order as “EFB.” These decryptions of diverse but mutually consistent cryptograms within Variation XIII are dead right. To learn more about the secrets of the Enigma Variations, read my free eBook Elgar’s Enigmas Exposed. Please help support and expand my original research by becoming a sponsor on Patreon.

Soli Yah Gloria

Stained glass window of Christ the King

Tipperary, Ireland

Variation XIII (✡ ✡ ✡) with "Ein feste Burg"

“Jesus walking on the water” by Ivan Aivazovsky (1888) 

Your way was through the sea,

    your path through the great waters;

    yet your footprints were unseen.

Psalm 77:19 ESV

Variation XIII (✡ ✡ ✡) from the Enigma Variations by Edward Elgar is secretly dedicated to Jesus, the savior of Elgar’s Roman Catholicism. The dedicatee’s initials are transparently encoded by the title’s Roman numerals using an elementary number-to-letter key. “X” is ten, and the tenth letter is J. “III” is three, and the third letter is C. “JC” are the initials for Jesus Christ. The Roman numerals sustain a second layer of Passion imagery: the “X” mirrors the form of a saltire cross, and the “III” evokes the three nails of the crucifixion displayed beneath the cross on the Jesuit seal. On the autograph and published scores, the asterisks in the nebulous title are three hexagrams that present the silhouette of the Star of David. This label parallels the expression “Son of David,” one of the prominent titles for Jesus as documented in Matthew 9:27, 15:22, 21:9, and 21:15. The earliest surviving short score sketch of Variation XIII bears the title “X X X” followed by the abbreviation “Var.” and a prominent capital “L,” with the first letters of those elements forming a reverse acrostic of “LVX,” the classical Latin orthography of lux (light). Just two years before composing the Enigma Variations, Elgar completed his first sacred oratorio, Lux Christi (The Light of Christ), marketed in England under the Anglicanized title The Light of Life. The sketch title’s lux acrostic summons its renowned complement, Christi. The acrostic supplies the first word of that title and invites the discovery of the second, silently naming the secret friend memorialized in Variation XIII.

Variation XIII Short Score “LVX” (Lux) Title Acrostic Cipher

The sonic depiction of a calm sea in Variation XIII by melodic quotations from Felix Mendelssohn’s concert overture Meeresstille und glückliche Fahrt (Calm Sea and Prosperous Voyage) is redolent of the episode in which Jesus rebuked a raging storm and calmed the sea as described in Matthew 8:23–27, Mark 4:35–41, and Luke 8:22–25. In a second marine miracle, Jesus demonstrated his mastery over the deep by walking on the Sea of Galilee as recounted in Matthew 14:22–33, Mark 6:45–52, and John 6:16–21. That wonder realizes the imagery of this essay’s epigraph from Psalm 77:19, which describes God’s way through the sea where his footprints remain unseen — for one who walks upon the water leaves no footprints behind. Various passages from the Book of Psalms commend God's power over the seas, including Psalm 65:5–8, 89:8–9, and 107:28–30. Chief among them is Psalm 46, which proclaims God as a refuge so secure that the faithful need not fear “though the mountains be moved into the heart of the sea, though its waters roar and foam” (46:2–3), a tumult stilled by the divine command “Be still, and know that I am God” (46:10). That psalm furnishes the scriptural bedrock of Martin Luther’s chorale Ein feste Burg ist unser Gott (A Mighty Fortress Is Our God), the secret melody of the Enigma Variations. The bond between the covert melody and the secret friend is sealed by the hymn’s lyrics, for Luther’s second stanza names the champion who fights for the faithful: “Er heißt Jesus Christ” (He is called Jesus Christ). Elgar’s musical portrait of a serene sea is theologically nuanced as it alludes to the identity of the secret friend and the psalm that inspired the covert principal theme.

Mendelssohn’s overture is based on a pair of poems by Johann Wolfgang von Goethe in which “deathly stillness” (Todesstille) is symbolized by a calm sea. That poetic undertone of death conceals cryptographic evidence for both the secret friend and the secret melody. The notes in the bass staff in bars 496–497 and 528–529 spell “D-E-A-D.” These encoded forms of the word dead are answered by three statements of the notes “G-D,” a phonetic realization of God — the first two sounded in the uppermost staves by the principal flute and oboe, and the third by the principal B♭ clarinet at concert pitch. Three statements of “God” immediately following the word “Dead" present a Trinitarian allusion to Jesus, who was crucified at Golgotha. The same bass notes that identify the secret friend also encode the initials of the covert melody. The discrete notes that spell dead (D, E, and A) occupy the fifth, sixth, and second scale degrees of G major, the movement’s home key. Converting those scale degrees into their corresponding letters of the alphabet yields E, F, and B, the initials of Ein feste Burg. A single melodic figure thus enciphers complementary answers to two of the riddles posed by the Enigma Variations: the identity of the hidden friend and the title of the concealed theme.

In his 1899 program note for the premiere of the Enigma Variations, Elgar disclosed that a larger principal theme “goes” through and over the whole set but is not played. Consistent with that disclosure, Luther’s celebrated hymn Ein feste Burg plays through and over this pelagic Romanza, sounding above Elgar’s undulating seascape as shown in the short score reduction below. An audiovisual demonstration of this contrapuntal mapping verifies the efficacy of this melodic solution, with Ein feste Burg played by trumpet as the movement is performed on piano.

Equally significant is the structural integrity of the mapping. The phrase structure of Ein feste Burg unfolds across Variation XIII in the elaborated sequence ABABCDEFBABABB — fourteen phrases in all, comprising a complete statement of the canonical nine-phrase structure (ABABCDEFB) followed by a five-phrase reprise (ABABB) in which Phrase B assumes a heightened, recurring role across the movement’s shifting tonal landscape. That design accords with Elgar’s own literary testament. After appending 101 measures to the Finale in July 1899, he inscribed at the conclusion of his new ending a passage from the poem “Elegiac Verse” by Henry Wadsworth Longfellow: “Great is the art of beginning, but greater the art is of ending.” The emphasis on beginnings and endings is observed in the elaborated phrase structure, in which Phrase A (the beginning) and Phrase B (the ending) are granted prominence.

This tribrid melody comes from three contrasting versions of the hymn by Martin Luther, Johann Sebastian Bach (Cantata BWV 80), and Felix Mendelssohn (Reformation Symphony). The opening cycle of Phrases A and B, stated twice, follows Bach’s rendering in G major. The movement then modulates to A♭ major, where Elgar quotes Mendelssohn’s concert overture Calm Sea and Prosperous Voyage. There, Phrase C reflects both Bach and Mendelssohn. Phrase D incorporates all three versions by Luther, Bach, and Mendelssohn. Phrase E follows Mendelssohn, and Phrase F returns to Bach, a remarkable convergence in which phrases drawn from one Mendelssohn work sound above Elgar’s quotation of another. A Mendelssohn fragment in F minor carries Phrase B in Bach’s setting before the music returns to G major, where Phrases A and B are again stated twice following Bach, with the final note (G) of the concluding Phrase B sustained for eleven quarter beats. A closing Phrase B in Bach’s version sounds in E♭ major above Elgar’s final Mendelssohn quotation, and Ein feste Burg concludes just before the final measure. Consult the following exhibit to easily compare phrases from all three versions of the hymn.

The following short score reduction tracks the contrapuntal course of Ein feste Burg “through and over” Variation XIII by cataloguing two categories of note matches between the hymn and the movement. A melodic conjunction is defined as any matching note between the hymn melody and the melody line of the variation. A harmonic conjunction is defined as a match between a melody note from the chorale and any non-melodic note sounding simultaneously in the score. Both melodic and harmonic conjunctions require matching notes to sound together. In the annotated short score, a melodic conjunction is represented by a diamond-shaped note head, and a harmonic conjunction by a triangle-shaped note head. Various contrapuntal devices are evident in this mapping, including augmentation, diminution, parallel motion, oblique motion, similar motion, contrary motion, and stretto. The augmentation at the close of the reprise, where the final note (G) of the concluding Phrase B is sustained for eleven quarter beats, is particularly distinctive, stretching the hymn’s last utterance into a becalmed stillness befitting the movement’s tranquil seascape. An effective counterpoint typically employs a fairly balanced mix of contrary and similar motion, something clearly evident throughout this mapping.

Variation XIII generates 57 melodic conjunctions in 29 out of 51 total bars and 130 harmonic conjunctions in 47 bars, for a combined total of 187. Melodic and harmonic conjunctions coincide in 28 bars. The totals of melodic and harmonic conjunctions serve as objective measures of the efficacy of this contrapuntal solution. A robust counterpoint will distribute these matches broadly across the movement rather than clustering them in isolated passages, and the mapping of Ein feste Burg above Variation XIII achieves precisely that objective, sounding conjunctions in 48 of the movement's 51 bars — a coverage of roughly 94 percent. Ein feste Burg remains dormant in only three bars: 503, 504, and 543. The two-bar gap at 503–504 falls precisely where Elgar introduces the undulating ostinato that reprises the palindromic rhythm of the Enigma Theme, preparing the first Mendelssohn quotation in A♭ major — a pairing of the Enigma Theme’s rhythm with Mendelssohn's melody that intimates a coded connection between the two themes.

Why would Elgar cite a seemingly extraneous theme from a work wholly unrelated to the Enigma Variations? The conventional wisdom holds that the Mendelssohn fragments are foreign to Elgar’s thematic riddle, yet their quotation marks in the score invite a closer reading. Elgar’s Mendelssohn citations hint by imitation that Mendelssohn cites the famous secret melody in one of his own works. The fragments are borrowed music: Elgar quotes a melody he did not compose, intimating by the same logic that the theme Mendelssohn cites is likewise not his, but borrowed from an earlier master. The symphonic context of Elgar’s quotations points to Mendelssohn’s symphonies, and the number of Mendelssohn fragments (four) and their constituent notes (four) direct the search to a fourth movement. That trail culminates in the Finale of Mendelssohn’s Reformation Symphony, a fourth movement that opens with a flute solo of Ein feste Burg followed by a set of variations. In this circuitous way, Elgar deftly embeds within Variation XIII a coded referral to another set of variations on the very melody he conceals.

The following table identifies 57 melodic conjunctions between Ein feste Burg and Variation XIII dispersed across 29 bars, covering 57% of the movement’s 51 measures and 60% of the 48 active measures during which the hymn is mapped. The 57 melodic conjunctions encompass ten note types with frequencies ranging between 1 and 18. The tonic G leads with 18 matches (32%), followed by C with 8 (14%); D, E♭, and E stand tied at 6 apiece (11% each), trailed by B and B♭ with 4 apiece (7% each), A♭ with 3 (5%), and A and F with 1 match apiece (2% each). The distribution mirrors the movement’s tonal architecture: the preponderance of G, D, and C reflects the tonic, dominant, and subdominant of G major, the home key in which the mapping opens and closes, while the E♭ conjunctions cluster in bars 507–517, registering the flat-key territory of the first Mendelssohn quotation in A♭ major.

The next table identifies 130 harmonic conjunctions between Ein feste Burg and Variation XIII dispersed across 47 bars, covering 92% of the movement's 51 measures and 98% of the 48 active measures during which the hymn is mapped. The 130 harmonic conjunctions encompass eleven note types with frequencies ranging between 2 and 47. Note G leads decisively with 47 matches (36%), followed by E♭ with 15 (12%), E with 14 (11%), C with 12 (9%), F with 10 (8%), A♭, D, and F♯ each with 8 (6% apiece), B♭ and D♯ each with 3 (2% apiece), and B with 2 (2%). The three most frequent notes (G, E♭, and E) account for more than half (58%) of all harmonic conjunctions, reflecting the tonic (G) and submediant (E) of G major, the home key in which the mapping opens and closes, together with E♭, the signature pitch of the movement's excursions into the A♭- and E♭-major territory of the Mendelssohn quotations.

There is a combined total of 187 note conjunctions (57 melodic + 130 harmonic), covering 48 of the movement’s 51 measures for a 94% coverage rate — rising to 100% of the 48 active measures during which the hymn is mapped. Melodic conjunctions appear in 29 bars and harmonic conjunctions in 47, with the two categories coinciding in 28; where melodic conjunctions fall silent, harmonic conjunctions maintain the contrapuntal connection across the remaining active bars, and in the single bar (510) devoid of harmonic matches, a melodic conjunction preserves the thread. This demonstrates that Ein feste Burg engages the full harmonic texture of Variation XIII rather than merely overlapping with its surface melody.

This comprehensive, note-by-note penetration — from the opening bar to the final cadence, interrupted only by the dormant measures (503, 504, and 543) — embodies the defining hallmark of a genuine contrapuntal mapping. Elgar’s own description of the hidden theme proceeding “through and over” the set is borne out with striking quantitative precision. Far from merely visiting Variation XIII in passing, Ein feste Burg permeates it at nearly every structural level: melodically with the movement’s principal material, harmonically with its inner voices, and formally with the fourteen-phrase arc (ABABCDEFBABABB) from the first note to the last. Such a pervasive and structurally coherent alignment — encompassing 187 sequential note conjunctions across ten melodic and eleven harmonic note types — provides compelling, quantifiable evidence that Ein feste Burg forms a clear and convincing counterpoint to Variation XIII.

The test Elgar set is straightforward but demanding. The covert principal theme must play “through and over” the set of Enigma Variations as a counterpoint. More than a century of purported solutions have failed to meet that requirement, for none has ever been successfully mapped contrapuntally above any complete movement. Ein feste Burg satisfies that test from the Enigma Theme to the Finale, replicating sequential note content phrase by phrase while preserving the hymn’s phrase architecture. In consideration of that extraordinary feat, Ein feste Burg stands in a class all its own.

Conclusion

Variation XIII (✡ ✡ ✡) rewards a careful analysis of both its symbolic and musical levels, where Elgar embedded his most profound puzzles within a serene portrait of a calm sea. The movement is secretly dedicated to Jesus Christ, the savior of Elgar’s Roman Catholic faith, whose initials are transparently encoded by the title’s Roman numerals, whose messianic title “Son of David” is evoked by the three hexagrammic asterisks, and whose oratorio namesake Lux Christi is summoned by the sketch title’s reverse acrostic “LVX” (Lux). The surface program is a tranquil seascape painted with quotations from Mendelssohn’s Calm Sea and Prosperous Voyage, evoking the Savior who stilled the sea and walked upon it without leaving footprints, while beneath it flows the king of chorales, traversing G major and the flat-key territory of the Mendelssohn quotations in A♭ and E♭ major. Even the movement’s marine stillness carries a cryptographic undertow: the bass notes spelling “D-E-A-D” and the threefold answer of “G-D” simultaneously mourn the crucified friend and encode, via scale degrees, the initials of Ein feste Burg.

The musical evidence is exacting. The contrapuntal mapping of Ein feste Burg “through and over” Variation XIII produces 57 melodic conjunctions and 130 harmonic conjunctions for a combined total of 187, spanning 48 of the movement's 51 measures for a coverage rate of 94%. These conjunctions form a nearly unbroken thread from the first bar to the hymn's conclusion, with the two categories covering for each other so completely that no active measure lacks a match. This is not a random overlap but a sustained architecture. The hymn’s canonical phrase structure (ABABCDEFB) unfolds across the movement in the elaborated sequence ABABCDEFBABABB — a complete statement of all nine canonical phrases followed by a five-phrase reprise (ABABB) that honors Longfellow's maxim, inscribed by Elgar himself at the close of the extended Finale, that greater than the art of beginning is the art of ending.

As with the Enigma Theme and Variations I through XII, the phrases mapped across Variation XIII are tribrid in origin, drawn from three distinct historical settings of the hymn: Luther’s original, Bach’s rendering in Cantata BWV 80, and Mendelssohn’s treatment in the Reformation Symphony — woven together as a threefold cord not easily broken. In this movement, the third strand acquires special force, for Elgar’s quotations of one Mendelssohn work hint by imitation at another, directing the search to the fourth movement of the Reformation Symphony, where Ein feste Burg is quoted and followed by a set of variations. The fourteen-phrase mapping and quantitative rigor of 187 note conjunctions distributed across 48 of 51 measures supply compelling evidence that Ein feste Burg is a convincing counterpoint to Variation XIII. To learn more about the secrets behind the Enigma Variations, read my free eBook Elgar's Enigmas Exposed. Please support my original research by becoming a sponsor on Patreon.

Soli Yah Gloria

Seal of the Society of Jesus