Elgar's Enigma Theme Unmasked: 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.

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 96 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.