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Showing posts with label Variation VII. Show all posts
Showing posts with label Variation VII. Show all posts

Sunday, June 12, 2016

Troyte Griffith’s Enigma “Solution” Refuted

“Can I have one guess? Is it God Save the King?”

In 1924, Troyte Griffith visited Edward Elgar at Napleton Grange in Kempsey. Griffith is the friend depicted in Variation VII. During that encounter, Troyte asked if he could have one guess concerning the hidden melody of the Enigma Variations. Elgar consented, then Troyte inquired, “Is it God Save the King?” “Of course not,” came the reply, “but it is extraordinary that no-one has found it.” That answer begs the question of why God Save the King still lingers in the literature as a viable theory. Wikipedia still lists this erroneous answer as a prospective melodic solution. Elgar was perfectly clear in dismissing that melody, so unless scholars are making him out to be a liar, God Save the King should be stricken from the lists. Yet like a bad cold, it lingers as a popular theory to this day.
Is it possible God Save the King could still be the hidden melody to the Enigma Variations? A credible case can only be made if it can be shown to effectively satisfy six conditions Elgar gave describing the relationship between the Enigma Variations and the covert principal Theme. Obtained directly from Elgar’s recorded words by multiple, independent, unimpeachable sources, those six conditions are:
  1. The Enigma Theme is a counterpoint to the principal Theme. 
  2. The principal Theme is not heard. 
  3. The principal Theme is famous. 
  4. Fragments of the principal Theme are present in the Variations. 
  5. The principal Theme is a melody that can be played through and over the whole set of Variations including the entire Enigma Theme. 
  6. The Enigma Theme comprises measures 1 through 19. 
Any theme that violates just one of those six conditions must be ruled out as invalid. The first and foremost test is to play a candidate melody “through and over” the Enigma Theme to assess whether there is credible evidence for both a contrapuntal and horizontal fit. Before attempting to do so it is first necessary to adapt a prospective melody to mirror the Enigma Theme’s shifts between the major and minor modes of G. These modulations are necessitated by the structure of the Enigma Theme which opens in G minor (measures 1-6), continues in G major (measures 7-10), returns to G minor (measure 11-16), cadences in G major (measure 17), then modulates back to G minor in the bridge leading to Variation I measures 18-19). Even when granting these generous accommodations to facilitate a contrapuntal mapping, God Save The King flunks the test.


God Save the King does not present a convincing counterpoint to the Enigma Theme. Strike one. That patriotic song concludes in measure 15, four measures short of the Enigma Theme's concluding cadence. Strike two. On top of these difficulties, it has never been shown how that popular anthem could possibly play “through and over the remaining movements, a requirement Elgar specifically mentions in the original 1899 program note. Strike three. God Save the King is out of contention for the mysterious missing melody to the Enigma Variations.

A Mighty Fortress
The only theme that successfully satisfies all of Elgar’s conditions is Ein feste Burg (A Mighty Fortress) by the German Reformer Martin Luther. That well-known hymn successfully plays one complete cycle through and over the Enigma Theme, establishing an uncanny horizontal fit. A precise vertical alignment between the two melodies illustrates Elgar's unique treatment of Ein feste Burg in an augmented form as a retrograde counterpoint. This unconventional method accounts for the profound difficulty in detecting a contrapuntal fit because one typically plays the beginning of a prospective melody over the beginning of the Enigma Theme. Such a predictable approach produces a mismatch, throwing off researchers even when the right melody is assessed. 
The case for Ein feste Burg as the covert principal Theme to the Enigma Variations is extensive and persuasive. Confirmation that Ein feste Burg is the hidden theme is given by a diverse range of music ciphers in the Enigma Theme and Variation XIII. Within the Enigma Theme is concealed a Music Box Cipher, Elgar’s dark saying linked to the Enigma mentioned in the original 1899 program note. Incredibly, Elgar did not take his secret to the grave, but rather enciphered the answer in the orchestral score. When discovered, the decrypted answer would remain unguessed just as Elgar prescribed. He even went so far as to encode the initials for the hidden melody in the Enigma Theme which modulates between the minor and major modes of G. The accidentals for those two keys are E-flat, F-sharp, and B-flat. Remarkably, the letters of those accidentals furnish the initials for Ein feste Burg.
The odd nickname for August Jaeger’s movement (Nimrod) is linked to the title A Mighty Fortress by one of Elgar’s favorite pastimes, wordplay. When he gave a copy of Longfellow’s novel Hyperion to the conductor Hans Richter following the premiere, Elgar literally gave away the answer. No wonder he suspected the solution would soon be found. Even the wrong date on the original score is a revealing clue since it falls on the anniversary of Luther’s death. According to a scale degrees cipher within the Mendelssohn fragments, the missing initials for Variation XIII (✡ ✡ ✡) are EFB”, the initials for Ein feste Burg. The mapping of Ein feste Burg over Nimrod is so self-evident that the melodic solution to Elgar's Enigma Variations is as plain a pikestaff.
If he were alive today, Elgar's response to Troyte's conjecture would undoubtedly be, I do not see that the tune you suggest fits in the least. If the theme does not fit, then one cannot commit. To learn more about the secrets of the Enigma Variations, read my free eBook Elgar’s Enigmas ExposedLike my heavenly Father’s gift of salvation and forgiveness, the price is freePlease help support and expand my original research by becoming a sponsor on Patreon.


An early version of God Save The King in The Gentleman's Magazine (October 1745)


Saturday, October 16, 2010

Variation VII (Troyte) with "Ein feste Burg"

Arthur Troyte Griffith (1864–1942)
Progress is impossible without change, and those who cannot change their minds cannot change anything.

The English composer Edward Elgar dedicated Variation VII from the Enigma Variations to his friend Arthur Troyte Griffith (1864–1942), a member of an architectural firm based in Malvern. It is likely that Elgar first met Griffith in 1897. Educated at Harrow and Oriel College, Oxford, he settled in Malvern in the 1890s, where he designed the Worcestershire Beacon Toposcope, All Saints Church in Malvern Wells, the Wyche Institute, and a number of local houses. An accomplished watercolorist and designer as well as a skilled chess player, he helped Elgar found the Malvern Concert Club in 1903 and served for decades as its first secretary and treasurer. Though Elgar’s whirlwind musical portrait lovingly caricatures his friend’s clumsy pianism, Griffith was held in lasting esteem in Malvern, where a blue plaque now commemorates both his architectural work and his long friendship with the composer.
Griffith’s piano playing was famously rugged, more a matter of exuberant pounding than refined technique, and Elgar transformed that boisterous clumsiness into musical caricature in Variation VII. In one oft‑cited anecdote, Elgar heightened Troyte’s natural tendency to hammer at the keyboard by attaching numbered tapes to specific piano keys and inviting his friend to strike them “hard and fast” in sequence. Troyte dutifully banged out the numbered keys, producing a jagged, noisy pattern that delighted the composer. Troyte left the following written account of that episode:
    One Sunday when I went into the study at Craeglea [sic; a residence named ‘Craeg Lea’ where Elgar resided between March 1899 and July 1904], the piano was open and stuck on the notes bits of stamp edge with numbers written on them. ‘What’s this for?’, I asked. ‘That’s for you,’ said Elgar. ‘Learn the numbers by heart and observe carefully that some of the notes have more than one number. When you can remember them hit the notes in order with one finger hard and fast.’ After a few shots I got it right. ‘That’s it’, said Elgar, ‘Hit ‘em harder and keep your finger stiff.’ I said, ‘I believe it’s a tune. What is it?’ Elgar laughed and said, ‘Oh nothing, we only wanted to hear what it sounded like when you played it.’ That tune must have been the theme.
Elgar commissioned Troyte to draft the letterhead and motto layout for the Worcestershire Philharmonic Society soon after it was founded in late 1897. Elgar chose the chorus “Wach auf” from Richard Wagner’s opera Die Meistersinger von Nürnberg as the signature song and motto of the Society. The lyrics feature the opening seven lines of Hans Sachs’ 700-line poem Die Wittenbergisch Nachtigall (The Wittenberg Nightingale), published in July 1523. In that poetic defense of the Reformation, the German reformer Martin Luther is likened to a blissful nightingale whose song rings out over hills and valleys at dawn. Griffith’s letterhead reflects this allegorical imagery by depicting a sunrise scene with a nightingale singing over the hills and valleys. The bird is perched above the letter “E” on the Society’s banner, an initial Elgar used to sign his personal correspondence.


Elgar conducted the inaugural concert of the Worcestershire Philharmonic Society on May 7, 1898, featuring the cantata Die Wallfahrt nach Kevlaar by Engelbert Humperdinck alongside “Wach auf,” as confirmed by a glowing review in the June 1898 issue of The Musical Times. 167 days later, Elgar began composing the Enigma Variations on October 21, 1898. He conducted a second society program on January 7, 1899 — 78 days into sketching the short score, which he orchestrated between February 5 and 19, 1899. A third concert followed on May 4, 1899 — 46 days before the premiere of the Enigma Variations in London under Hans Richter, who shares his first name with Hans Sachs. Luther clearly weighed on Elgar’s mind in the months before, during, and after he composed the Enigma Variations. His choice of a Wagnerian chorus in honor of Luther as the signature song for the Worcestershire Philharmonic Society resonates with the discovery of Luther’s hymn Ein feste Burg as the hidden melody to the Enigma Variations.
Although no source explicitly identifies Griffith’s religious affiliation, the available evidence points toward Anglicanism. He was educated at Harrow and Oriel College, Oxford, both institutions with strong Anglican traditions. His architectural practice was closely tied to Anglican worship. He designed All Saints Church in Malvern Wells and created an altar frontal and superfrontal for the Anglican Church of St. Andrews in Pau, France. Most tellingly, his funeral was held at All Saints Church — the Anglican church he himself had designed — before his burial at Malvern Wells Municipal Cemetery. These details strongly suggest that Griffith, like Elgars friend August Jaeger, was a Protestant. That Elgar entrusted an apparently Anglican friend with the design of a letterhead bearing a Lutheran motto is consistent with his lifelong ecumenical engagement with Protestant sacred music.
Richard Powell, the husband of Dora who is depicted in Variation X, published a paper titled Elgar’s Enigma in 1934 shortly after Elgar’s death. In his essay, Powell proposed the folk tune Auld Lang Syne as the hidden melody of the Enigma Variations. In it, Powell alludes to the fact that most of Elgar’s friends portrayed in the Variations were Anglicans, not Roman Catholics:
It is worth while to note that the persons portrayed and commemorated in this fashion were not celebrities ; they were friends, close friends, and in one case more than that. Another reflection suggests itself ; it is almost impossible to believe that Elgar, when thinking out the scheme of this peculiar, if not unique, work, would select for his unheard melody a tune drawn from the classics or the church, for it must be remembered that most of the friends commemorated were only amateur musicians and one was not even musical. Furthermore, most of them were not of his religion.
Many friends depicted in the Enigma Variations belonged to the social circle of Elgar’s wife. Alice was born into a prominent Anglican family — the daughter of a decorated Major General and great-granddaughter of Robert Raikes, founder of the Anglican Sunday School movement. Though she agreed to a Catholic wedding ceremony at the Brompton Oratory in 1889, she did not formally convert to Roman Catholicism until July 1893. Her Anglican upbringing shaped the social circle she brought to her marriage, which accounts in large part for why most of the friends portrayed in the Enigma Variations were Protestant rather than Catholic — precisely the observation Powell makes in his 1934 paper.
In his original 1899 program note, Elgar specified that the absent principal Theme must play “through and over” the set of Variations. In compliance with that condition, the following short score of Variation VII includes a third staff showing how  plays as a counterpoint above the movement. The absent melody does not appear in the introductory four measures (210–213), three transitional bars (223–225), and a pause between phrases (253). Based on this contrapuntal mapping, the hymn plays over 64 measures of the 72 bar movement for nearly 89% coverage.




The phrase structure of Ein feste Burg unfolds across Variation VII in the sequence ABABCDEFB ABCDE[1]AB[1] for sixteen phrases in all. The first sequence (ABABCDEFB) preserves the complete phrase order of the hymn without reordering, compression, or omission, demonstrating that Elgar retained the hymn’s architecture fully intact for the opening round. Only in the second sequence (ABCDE[1]AB[1]) does Elgar vary the phrase structure by omitting Phrase F and restricting the final statements of Phrases E and B to their incipit first notes. As with each variation, Elgar subtly varies the hymn’s phrase structure from movement to movement, a strategy that serves to confuse and camouflage the hidden counterpoint from casual detection.
The phrases of Ein feste Burg mapped over Variation VII come from three contrasting versions of the hymn to form a tribrid melody. This pattern is likewise observed in the contrapuntal mappings of the chorale with the Enigma Theme, Variations I, II, III, IV, V, and VI. Phrases A and B reflect Bach’s rendering in the final chorale (“Das Wort sie sollen lassen stahn”) from his Cantata BWV 80. Phrases C and F are based on Bach’s version and Mendelssohn's distinct adaptation from the Finale of the Reformation Symphony, whose melodic contour aligns with Bach’s. Phrase D follows the pattern of Luther’s original version, which Bach faithfully preserved in his rendering, and which Mendelssohn likewise retained. Phrase E reflects Mendelssohns version exclusively. Ecclesiastes 4:12 declares that a threefold cord is not easily broken — and so it is with this tribrid theme, woven from the distinct but harmonious contributions of Luther, Bach, and Mendelssohn. Consult the following exhibit to easily compare phrases from all three versions of Ein feste Burg.


The following short score tracks the contrapuntal course of Ein feste Burg through and over Variation VII by cataloguing two categories of note matches between the hymn and the movement. A melodic conjunction is defined as any matching note between the melody of Ein feste Burg and the melody line of the variation. A harmonic conjunction is defined as a match between a melody note from the covert principal Theme and any non-melodic note sounding simultaneously in the variation. Both melodic and harmonic conjunctions require the matching notes to sound together to qualify as a match. 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. The total number of melodic conjunctions, harmonic conjunctions, and their combined sum 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 through and over Variation VII achieves precisely that objective.
The contrapuntal devices of augmentation, diminution, similar motion (SM), and contrary motion (CM) are also observed in the annotated score. For the purposes of this analysis, similar motion encompasses any instances of parallel motion, and contrary motion any instances of oblique motion. In some cases, the upper voice of the variation moves in parallel with Ein feste Burg while the bass line moves in a contrary manner. An effective counterpoint typically employs a fairly balanced mix of contrary and similar motion, something clearly evident throughout this mapping.




The following table identifies 73 melodic conjunctions between Ein feste Burg and Variation VII dispersed across 35 bars, covering 49% of the movement’s 72 measures. When excluding 8 bars in which the hymn was deemed dormant, that coverage increases to 55% of 64 active measures. In most bars where melodic conjunctions are absent, harmonic conjunctions maintain the contrapuntal connection. The 73 melodic conjunctions encompass six note types with frequencies ranging between 2 and 25. Note G leads with 25 matches (34%), followed by note C with 20 (27%), note A with 15 (21%), note A-flat with 8 (11%), note B with 2 (3%), and note F with 3 (4%). Together, the three most frequent notes — G, C, and A — account for nearly four-fifths (82%) of all melodic conjunctions.


The next table identifies 159 harmonic conjunctions between Ein feste Burg and Variation VII dispersed across 61 bars, covering 85% of the movement’s 72 measures. When 8 dormant measures are excluded, harmonic conjunctions span 61 of 64 active bars, raising the coverage to 95%. The 159 harmonic conjunctions encompass eight note types with frequencies ranging between 3 and 75. Note G leads with 75 matches (47%), followed by note C with 50 (31%), note A-flat with 14 (9%), note A with 5 (3%), note F with 5 (3%), note E with 4 (3%), note B with 3 (2%), and note D with 3 (2%). Together, the two most frequent notes — G and C — account for nearly four-fifths (78%) of all harmonic conjunctions, reflecting the dominant and tonic of C major, the home key of Variation VII.


There is a combined total of 232 note conjunctions (73 melodic + 159 harmonic) across the active bars of Variation VII, covering 64 of 72 measures for an 89% coverage rate. When 8 dormant measures are excluded, the combined conjunctions span all 64 active bars for a 100% coverage rate. Of those 64 active bars, 32 feature both melodic and harmonic conjunctions simultaneously, representing 50% of active measures. These figures demonstrate that Ein feste Burg engages the full harmonic texture of Variation VII rather than merely skimming its surface melody.
The test Elgar set is straightforward but demanding: the covert principal theme must play above each movement of the Enigma Variations as a counterpoint. Nowhere does he specify that any particular mapping must achieve 100% coverage of a movement. More than a century of purported solutions have failed to meet Elgars requirement, for none has ever been successfully mapped contrapuntally above any complete movement. Ein feste Burg has met that test across every movement without exception, replicating sequential note content phrase by phrase while preserving the hymns phrase architecture from the Enigma Theme to the Finale. Ein feste Burg stands in a class all its own because it accomplishes what no other attempted solution can: it plays “through and over” the set as a counterpoint.

Conclusion
The evidence presented in this essay demonstrates that Ein feste Burg serves as a compelling counterpoint to Variation VII (Troyte), consistent with Elgars 1899 program note. The contrapuntal mapping yields 73 melodic conjunctions and 159 harmonic conjunctions for a combined total of 232 spanning 64 of the movements 72 measures, a coverage rate of 89%. When 8 dormant measures are excluded, the combined conjunctions cover all 64 active bars for a 100% coverage rate. Of those active bars, 32 feature both melodic and harmonic conjunctions simultaneously, representing 50% of active measures.
Equally significant is the structural integrity of the mapping. The phrase structure of Ein feste Burg unfolds across Variation VII in sixteen phrases with the sequence ABABCDEFB ABCDE[1]AB[1]. The first sequence (ABABCDEFB) preserves the complete phrase order of the hymn. Only in the second sequence (ABCDE[1]AB[1]) does Elgar vary the phrase structure by omitting Phrase F and restricting the final statements of Phrases E and B to their incipit first notes. As with each variation, Elgar subtly varies the hymns phrase structure from movement to movement, a strategy that serves to confuse and camouflage the hidden counterpoint from casual detection. The eight dormant measures (210–213, 223–225, and 253) are not weaknesses in the mapping but intentional features — the seams of a carefully constructed musical disguise, marking the boundaries of the counterpoint without disclosing them, consistent with the strategic deployment of dormant measures observed in Variations II through VI.
The melodic and harmonic conjunctions, the integrity of the phrase structure, and the strategic deployment of dormant measures form a coherent and mutually reinforcing body of evidence affirming that Variation VII is a clear and convincing counterpoint to Ein feste Burg. Elgars description of the hidden theme playing “through and over” the entire set of Variations is borne out here with striking quantitative precision: 232 sequential note conjunctions across six melodic and eight harmonic note types, permeating the movement at every structural level from first note to last. To learn more about the secrets behind the Enigma Variations, read my free eBook Elgar's Enigmas ExposedPlease support my original research by becoming a sponsor on Patreon.

About Mr. Padgett

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Mr. Padgett studied violin with Michael Rosenker (a student of Leopold Auer), and Rosenker’s pupil, Owen Dunsford. Mr. Padgett studied piano with Sally Magee (a student of Emanuel Bay), and Blanca Uribe (a student of Rosina Lhévinne). He attended the Stevenson School in Pebble Beach, California, and Vassar College in Poughkeepsie, New York, where he graduated Phi Beta Kappa with a degree in psychology. At Vassar he studied music theory and composition with Richard Wilson. Mr. Padgett has performed for Joseph Silverstein, Van Cliburn, Arnold Schwarzenegger, Maria Shriver, Steve Jobs, Prince Charles, Lady Camilla, Marcia Davenport, William F. Buckley, Jr., and other prominent public figures. His original compositions have been performed by the Monterey Symphony, at the Bohemian Grove, the Bohemian Club, and other private and public venues. In 2008 Mr. Padgett won the Max Bragado-Darman Fanfare Competition with his entry "Fanfare for the Eagles." It was premiered by the Monterey Symphony under Maestro Bragado in May 2008. A member of the Elgar Society, Mr. Padgett is married with five children.