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

Tuesday, November 29, 2022

Mozart's K. 147 in Elgar's Dorabella Cipher

W. A. Mozart in 3D by Hadi Karimi
The first real sort of friendly leading I had, however, was from ‘Mozart’s Thorough-bass School.’ There was something in that to go upon—something human. It is a small book—a collection of papers beautifully and clearly expressed—which he wrote on harmony for a niece of a friend of his. I still treasure the old volume.
Edward Elgar in The Strand Magazine (May 1904)

The English composer Edward Elgar (1857–1934) and his wife enjoyed a long weekend visit in mid-July 1897 with the family of Reverend Alfred Penny (1845–1934), the rector of St. Peter’s Collegiate Church in Wolverhampton. Caroline Alice Elgar (1848–1920) was a childhood friend of the Reverend’s wife, Mary Frances Baker, who married the widower in 1895 and became the stepmother of his only daughter, Dora Penny (1874–1964). On their return to Great Malvern, Alice penned a letter thanking the Penny family for their hospitality. Elgar added a short enciphered missive to his wife’s correspondence, addressing it to “Miss Penny” on the back. The incisive salutation is a classic Elgarian pun. “Miss” is an honorific title for an unmarried woman or girl, but it also functions as the verb “miss” to express regret or sadness over a person’s absence. Elgar was clearly missing Miss Penny when he created his cryptographic pièce de résistance. Dora was unable to decipher Elgar’s enigmatic script and filed it away for over 40 years before eventually publishing it in her 1937 biography, Edward Elgar: Memories of a Variation.
Elgar’s coded message to Dora Penny is popularly known as the Dorabella Cipher. The name comes from Variation X of the Enigma Variations (1899), a movement dedicated to her that bears the title “Dorabella.” Elgar procured that playful pseudonym from a soprano role for a young unmarried woman in the opera Così fan tutte by Wolfgang Amadeus Mozart. An operatic nickname for Dora was befitting because she was an avid vocalist who sang in the Wolverhampton Choir Society and her father’s rectory choir. As she recalled in her biography, “I was so mixed up with tunes in those days; Choral music, Church music, and orchestral music – and my own solo-singing, scenes from opera, songs, ballads –, and so on.” Four months before his visit to her father’s rectory, Elgar penned a letter to Dora in which he humorously comments about her weekly singing practices. He wrote, “Alice tells me you are warbling wigorously in Worcester wunce a week (alliteration archaically Norse).” This amusing excerpt is one of many examples where Elgar employs idiosyncratic spellings in his correspondence.

Variation X (Dorabella) from “My Friends Pictured Within”

The Dorabella Cipher consists of 87 curlicue symbols arranged in three rows of varying character lengths followed by a fourth row providing the date “July 14 [18]97”. There are 29 characters in row one, 31 in row two, 27 in row three, and 8 in row four. A conspicuous dot appears over the sixth symbol in row three. Three others appear in row four with small dots to the right of “1” and “4”, and a larger dot affixed to the bend in “7”. In all, there are 87 symbols, four rows, four dots, four letters, and four numbers on the Dorabella Cipher.

The Dorabella Cipher

Fortunately for investigators, the key to translating this confounding cast of characters into recognizable cleartext is preserved in one of Elgar’s surviving notebooks. A facsimile of that key is displayed below:

Elgar’s notebook cipher key

Elgar created three distinct glyphs using the lowercase c as the primary building block. His motive for selecting that particular letter is easy to surmise because c is the initial for cipher and cryptogram. There is persuasive evidence in support of this hypothesis as Elgar wrote some of those identical symbols around the word “Cryptogram” on an index card dating from 1896.

Elgar's “Cryptogram” card with ciphertext (circa 1896)

With his three prototypes assembled from one, two, and three stacked cs, Elgar systematically arranged them into eight different triplets using various angles and orientations to generate 24 alphabetic avatars. Elgar assigned the English alphabet’s 26 letters to these 24 odd characters by conflating i with j, and u with v. Combining similar glyphs is a standard convention of cryptography. The resemblance of some of Elgar's curlicue characters to the capital cursive “E” from his initials is deliberate, embellishing the cipher with his imprimatur in contrasting guises and angles. Relying on Elgar’s notebook key, the Dorabella Cipher converts into the following cleartext:


Elgar used twenty symbols from his lineup of twenty-four characters, omitting those for m, n, o, and z. The three contiguous absent letters (m, n, o) are an anagram of nom, the French term for “name.” That word appears in nom de plume, a French expression for a pseudonym or pen name. Elgar’s signature is conspicuously absent from his coded missive. Could this nom anagram sourced from his missing letters be a clue that Elgar’s name is hidden within the ciphertext? The absence of these four letters parallels the structural emphasis placed on that number by four rows, four dots, four letters, and four numbers. Elgar is clearly hinting at the importance of the number four. The explanation could be that the fourth letter of the alphabet is D, the initial for Dora, the four-letter name of the recipient of Elgar's message.
Cryptographers are baffled by the Dorabella Cipher’s seemingly incoherent cleartext. In his history of unbroken cryptograms titled Unsolved!, mathematics professor Craig P. Bauer concedes that the Dorabella Cipher appears to be a simple monoalphabetic substitution cipher (MASC) in which one letter is replaced by one symbol. Gaps between words are excised to make the code even more difficult to unravel. Like modern ciphers, ancient Greek and Classical Latin text omit spaces between words in a practice called scriptio continua. Bauer laments that when applied to the Dorabella Cipher, none of the standard techniques for solving a MASC yield any sensible or credible results. Even the most advanced computer programs fail to make any inroads. A limitation of this approach is the presumption that Elgar’s message is a MASC restricted to English. Bauer briefly describes and dismisses purported solutions by Eric Sams, Tony Gaffney, and Tim S. Roberts, before concluding that the Dorabella Cipher has not yet been solved because Elgar’s system of encipherment must be “something more complicated.”
Recent cryptanalysis of the seemingly impregnable Dorabella Cipher determined that its dotted symbols encode solutions in Latin (AMDG) and German (Magd). Elgar penned the Latin abbreviation “AMDG” on some of his master scores as a sacred dedication, most notably The Dream of Gerontius. Used to refer to a young unmarried woman, the German word Magd means “maid” and “virgin.” This solution is consistent with the recipient of Elgar’s coded missive, Miss Dora Penny, the young unmarried daughter of Reverend Penny. The Dorabella Cipher also presents some English words as the note is addressed to “Miss Penny” and the month is shown as “July”. Remarkably, these three languages — English, Latin, and German — are an acrostic anagram of the first three letters of “ELGAR.” The linguistic sophistication of the Dorabella Cipher readily explains why experts failed to penetrate it since they naively assumed it was confined to English. Such a unidimensional mindset is utterly incompatible with an autodidactic polymath like Elgar. Unconventional methods, like Elgar’s odd spellings, are the keys to unraveling the Dorabella Cipher.



Three of the four absent letters (m, n, o, z) from the Dorabella Cipher are an anagram of nom, the French word for “name.” Remarkably, the dot above the sixth character in row three of the Dorabella Cipher pinpoints a familiar nickname for Elgar. Relying on Elgar’s notebook key, the raw decryption of the character below the dot in row three is the letter E. One dot in International Morse Code is also E. Consequently, the dot and the symbol encode Elgar’s initials (EE). Immediately following the encoded E, the next two characters encode the letters d and u/v. The small dot above the ciphertext in the third row tags the text sequence “Edu” which is one of Elgar’s primary nicknames.


Elgar’s wife coined the pet name “Edoo” using the first three letters of the German version of her husband’s forename, Eduard. Elgar assigned this pseudonym to his musical self-portrait in the Enigma Variations (1899), the martial Finale with the title “E. D. U.” Dora Penny was familiar with this pet name as she spent a substantial amount of time around the Elgar family and heard Alice call her husband “Edoo.” This fragmentary decryption confirms that the Dorabella Dots Dedication Cipher is covertly signed by its author. The solution comports with the feasibility of spelling nom from absent letters in the cipher and the glaring absence of Elgar’s signature from his note. The discovery of Elgar’s nickname is consistent with other cryptograms in the Enigma Variations that are similarly tagged by his name or initials.
Far from being a completely random assortment of letters as posited by investigators like Dr. Keith Massey, the cleartext presents a coded form of Elgar’s name expertly woven into the fabric of the cleartext. Elgar made it an obvious place to look because of the anomalous dot above the sixth character in row three. This “EDU” Dot Cipher furnishes the author's signature conspicuously missing from his missive to Miss Penny. It is astonishing that his signature remained undetected since the cipher was first publicized 85 years ago. One reasonably wonders what else the so-called experts failed to detect lurking just beneath the surface of the Dorabella Cipher cleartext. After all, Elgar's encoded signature was not difficult to spot.
A recent reassessment of the Dorabella Cipher uncovered yet another cryptogram connected with the anomalous dots in the fourth row where Elgar dated his mystifying message as “July 14 97”. There is no comma between the day and year, and the century (18) is omitted. One small dot appears next to the upper right of “1”, and another next to the lower right of “4”. There is a third larger dot next to the crook in “7” that constitutes the final character in the cipher. Scanning from left to right, these dotted numerals form the number “147”. The fourth row has four letters (July), four numbers (14 & 97), and three dots. Translating the number eleven into its corresponding letter of the alphabet using an elementary number-to-letter key (1 = A, 2 = B, C = 3, etc.) generates the letter “K.” Uniting that coded letter with the dotted numerals yields “K 147.”
Before attempting to decode the significance of “K 147”, it is first necessary to become acquainted with the work of the Austrian musicologist Ludwig Köchel. He established a chronology of Mozart’s compositions and assigned them sequential numbers. For example, the Requiem in D Minor is Mozart’s 626th work and is assigned the number 626. In 1862, Köchel published a comprehensive listing of all known compositions by Wolfgang Amadeus Mozart called the Köchel Catalogue. This first edition remained the standard reference source until undergoing revisions in 1905. Each Köchel number is preceded by his initial “K.” Consequently, “K 147” may be confidently read as “Köchel 147.”
Out of so many diverse possibilities, which one of Mozart’s works is listed by Köchel as the 147th? Could it be a piano sonata, a string quartet, a divertimento, or a symphony? On the contrary, it is a diminutive song for soprano and piano called “Wie unglücklich bin ich nit” (How unlucky I am). At only fifteen bars, it is a “sentimental love song . . . in which the fifteen-year-old Mozart pointedly depicts the sighs of a slighted lover . . .” The ensemble for “Wie unglücklich bin ich nit” is perfectly paired with Dora (a soprano) and Elgar (a skilled pianist and accompanist). Shortly after their first encounter, Elgar played piano for Dora. He soon bestowed on her the nickname Dorabella, a soprano role from Mozart’s Opera Così fan tutte. Elgar clearly associated Dora with Mozart’s music. The discovery of a coded reference to one of Mozart’s songs in the Dorabella Cipher indicates Elgar made this connection shortly after their first meeting at her father’s rectory.

Autograph Score of "Wie unglücklich bin ich nit" K. 147 (1772)

A published version of Wie unglücklich bin ich nit K. 147

“Wie unglücklich bin ich nit” was composed by Mozart in Salzburg during the summer of 1772. The author of the libretto is unknown and could be Mozart himself. A copy of this song appears in an 1869 book by John Ella published in London called Musical Sketches Abroad And At Home. A talented violinist, Ella inaugurated in 1845 an annual series of instrument and vocal concerts under the title the “Musical Union.” These gatherings often featured established artists who were new to English society. The appearance of Mozart’s song in Ella’s book suggests it was performed at one or more of these concerts. Such attention by a prominent member of London’s musical scene ensured that this gem was not neglected. Dora’s education and extensive experience in the vocal arts likely exposed her to Mozart’s early Lieder including “Wie unglücklich bin ich nit”.





The original German lyrics of “Wie unglücklich bin ich nit” are shown below with an English translation:
Wie unglücklich bin ich nit,
Wie schmachtend sind meine Tritt
,
Wenn ich mich nach dir lenke.
Nur die Seufzer trösten mich,
Alle Schmerzen häufen sich,
Wenn ich auf dich gedenke.

How unhappy I am,
How heavy are my steps,
When I direct them toward you.
Only sighs comfort me,
All my worries pile up,
When I think of you.
The lyrics artfully convey Elgar’s sadness over his recent parting from Dora Penny. Such a musical declaration from an older married man to a younger unmarried lady is flattering and suitable following their first meeting. With so many common interests and family connections, Elgar and Dora soon became good friends. Their friendship is movingly depicted by Variation X (Dorabella), a coruscating gem in the Enigma Variations. As one of the longest movements at 73 bars, Elgar clearly longed for Dora’s attention and company.
There is a secret melody that serves as the contrapuntal cornerstone of the Enigma Variations. Dora pleaded with Elgar to share the title of that mysterious melody, but he steadfastly declined her persistent overtures. When she begged for the solution, he replied, “Oh, I shan’t tell you that, you must find it out for yourself.” “But I’ve thought and racked my brains over and over again,” she insisted. He answered, “Well, I’m surprised. I thought that you of all people would guess it.” The reason Elgar suspected Dora, the daughter of an Anglican Rector who actively sang in church, would guess the hidden melody is because it is the famous hymn A Mighty Fortress (Ein feste Burg) by German Reformer Martin Luther. Little did Dora realize that the ending phrase from that Protestant anthem is quoted twice in Variation X by the inner voice. If only she had searched for the mysterious tune’s ending rather than its beginning, she would have soon unmasked the solution for herself, for she sang it many times in church.


The Enigma Variations conceal a principal Theme that is unheard and yet serves as the contrapuntal cornerstone of the entire work. Like the Variations, Elgar's Dorabella Cipher also harbors a secret melody, one that could be performed by Dora Penny's soprano voice and Elgar's facility at the piano. The Spanish Gaps Code in the Dorabella Cipher encodes the anagram “DORA CC GEM” (Dora sees gem). The dual Cs are remarkable because the soprano opens “Wie unglücklich bin ich nit” with an eighth note C followed by a half note C – two Cs. This “C-C” motif is reprised two more times in Mozart’s diminutive lied with one interrupted by a quarter rest that is conveniently covered by a solitary C in the piano accompaniment. Consequently, the “CC” in the solution to the Spanish Gaps Code cleverly alludes to the opening notes of the secret melody encoded by the Dorabella Cipher.
 

To learn more about the secrets of the Enigma Variations, read my free eBook Elgar’s Enigmas ExposedPlease help support and expand my original research by becoming a sponsor on Patreon.



Sunday, November 27, 2022

The Dorabella Cipher's Spanish Gaps Anagrams

This sketch is an attempt to portray, in the compass of a few bars, the humours of a Spanish fête.
From Elgar’s program note for Sevillana (Scene Espagnole) 

“AQUI ESTÁ ENCERRADA EL ALMA DE . . . . .”
(Herein is enshrined the soul of . . . . .)
Elgar’s Spanish dedication to his Violin Concerto

The English composer Edward Elgar (1857–1934) and his wife enjoyed a long weekend visit in mid-July 1897 with the family of Reverend Alfred Penny (1845–1934), the rector of St. Peter’s Collegiate Church in Wolverhampton. Caroline Alice Elgar (1848–1920) was a childhood friend of the Reverend’s wife, Mary Frances Baker, who married the widower in 1895 and became the stepmother of his only daughter, Dora Penny (1874–1964). On their return to Great Malvern, Alice penned a letter thanking the Penny family for their hospitality. Elgar added a short enciphered missive to his wife’s correspondence, addressing it to “Miss Penny” on the back. The incisive salutation is a classic Elgarian pun. “Miss” is an honorific title for an unmarried woman or girl, but it also functions as the verb “miss” to express regret or sadness over a person’s absence. Elgar was clearly missing Miss Penny when he created his cryptographic pièce de résistance. Dora was unable to decipher Elgar’s enigmatic script and filed it away for over 40 years before eventually publishing it in her 1937 biography, Edward Elgar: Memories of a Variation.
Elgar’s coded message to Dora Penny is popularly known as the Dorabella Cipher. The name comes from Variation X of the Enigma Variations (1899), a movement dedicated to her that bears the title “Dorabella.” Elgar procured that playful pseudonym from a soprano role for a young unmarried woman in the opera Così fan tutte by Wolfgang Amadeus Mozart. An operatic nickname for Dora was befitting because she was an avid vocalist who sang in the Wolverhampton Choir Society and her father’s rectory choir. As she recalled in her biography, “I was so mixed up with tunes in those days; Choral music, Church music, and orchestral music – and my own solo-singing, scenes from opera, songs, ballads –, and so on.” Four months before his visit to her father’s rectory, Elgar penned a letter to Dora in which he humorously comments about her weekly singing practices. He wrote, “Alice tells me you are warbling wigorously in Worcester wunce a week (alliteration archaically Norse).” This amusing excerpt is one of many examples where Elgar employs idiosyncratic spellings in his correspondence.

Variation X (Dorabella) from “My Friends Pictured Within”

The Dorabella Cipher consists of 87 curlicue symbols arranged in three rows of varying character lengths followed by a fourth row providing the date “July 14 [18]97”. There are 29 characters in row one, 31 in row two, 27 in row three, and 8 in row four. A conspicuous dot appears over the sixth symbol in row three. Three others appear in row four with small dots to the right of “1” and “4”, and a larger dot affixed to the bend in “7”. In all, there are 87 symbols, four rows, four dots, four letters, and four numbers on the Dorabella Cipher.

The Dorabella Cipher from Dora's 1937 memoir.

Fortunately for investigators, the key to translating this confounding cast of characters into recognizable cleartext is preserved in one of Elgar’s surviving notebooks. A facsimile of that key is displayed below:

Elgar’s notebook cipher key

Elgar created three distinct glyphs using the lowercase c as the primary building block. His motive for selecting that particular letter is easy to surmise because c is the initial for cipher and cryptogram. There is persuasive evidence in support of this hypothesis as Elgar wrote some of those identical symbols around the word “Cryptogram” on an index card dating from 1896.

Elgar's “Cryptogram” card with ciphertext (circa 1896)

With his three prototypes assembled from one, two, and three stacked cs, Elgar systematically arranged them into eight different triplets using various angles and orientations to generate 24 alphabetic avatars. Elgar assigned the English alphabet’s 26 letters to these 24 odd characters by conflating i with j, and u with v. Combining similar glyphs is a standard convention of cryptography. The resemblance of some of Elgar's curlicue characters to the capital cursive “E” from his initials is deliberate, embellishing the cipher with his imprimatur in contrasting guises and angles. Relying on Elgar’s notebook key, the Dorabella Cipher converts into the following cleartext:


Elgar used twenty symbols from his lineup of twenty-four characters, omitting those for m, n, o, and z. The three contiguous absent letters (m, n, o) are an anagram of nom, the French term for “name.” That word appears in nom de plume, a French expression for a pseudonym or pen name. Elgar’s signature is conspicuously absent from his coded missive. Could this nom anagram sourced from his missing letters be a clue that Elgar’s name is hidden within the ciphertext? The absence of these four letters parallels the structural emphasis placed on that number by four rows, four dots, four letters, and four numbers. Elgar is clearly hinting at the importance of the number four. The explanation could be that the fourth letter of the alphabet is D, the initial for Dora, a four-letter name.
Cryptographers are baffled by the Dorabella Cipher’s seemingly incoherent cleartext. In his history of unbroken cryptograms titled Unsolved!, mathematics professor Craig P. Bauer concedes that the Dorabella Cipher appears to be a simple monoalphabetic substitution cipher (MASC) in which one letter is replaced by one symbol. Gaps between words are excised to make the code even more difficult to unravel. Like modern ciphers, ancient Greek and Classical Latin text omit spaces between words in a practice called scriptio continua. Bauer laments that when applied to the Dorabella Cipher, none of the standard techniques for solving a MASC yield any sensible or credible results. Even the most advanced computer programs fail to make any inroads. A limitation of this approach is the presumption that Elgar’s message is a MASC restricted to English. Bauer briefly describes and dismisses purported solutions by Eric Sams, Tony Gaffney, and Tim S. Roberts, before concluding that the Dorabella Cipher has not yet been solved because Elgar’s system of encipherment must be “something more complicated.”
Recent cryptanalysis of the seemingly impregnable Dorabella Cipher determined that its dotted symbols encode solutions in Latin (AMDG) and German (Magd). Elgar penned the Latin abbreviation “AMDG” on some of his master scores as a sacred dedication, most notably The Dream of Gerontius. Used to refer to a young unmarried woman, the German word Magd means “maid” and “virgin.” This solution is consistent with the recipient of Elgar’s coded missive, Miss Dora Penny, the young unmarried daughter of Reverend Penny. The Dorabella Cipher also presents some English words as the note is addressed to “Miss Penny” and the month is shown as “July”. Remarkably, these three languages — English, Latin, and German — are an acrostic anagram of the first three letters of “ELGAR.” The linguistic sophistication of the Dorabella Cipher readily explains why experts failed to penetrate it since they naively assumed it was confined to English. Such a unidimensional mindset is utterly incompatible with an autodidactic polymath like Elgar. Unconventional methods, like Elgar’s odd spellings, are the keys to unraveling the Dorabella Cipher.



Three of the four absent letters (m, n, o, z) from the Dorabella Cipher are an anagram of nom, the French word for “name.” Remarkably, the dot above the sixth character in row three of the Dorabella Cipher pinpoints a familiar nickname for Elgar. Relying on Elgar’s notebook key, the raw decryption of the character below the dot in row three is the letter E. One dot in International Morse Code is also E. Consequently, the dot and the symbol encode Elgar’s initials (EE). Immediately following the encoded E, the next two characters encode the letters d and u/v. The small dot above the ciphertext in the third row tags the text sequence “EDU” which is one of Elgar’s primary nicknames.


Elgar’s wife coined the pet name “Edoo” using the first three letters of the German version of her husband’s forename, Eduard. Elgar assigned this pseudonym to his musical self-portrait in the Enigma Variations (1899), the martial Finale with the title “E.D.U.” Dora Penny was familiar with this pet name as she spent a substantial amount of time around the Elgar family and heard Alice call her husband “Edoo.” This fragmentary decryption confirms that the Dorabella Dots Dedication Cipher is covertly signed by its author. The solution comports with the feasibility of spelling nom from absent letters in the cipher and the glaring absence of Elgar’s signature from his note. The discovery of Elgar’s nickname is consistent with other cryptograms in the Enigma Variations that are similarly tagged by his name or initials.
Far from being an entirely random assortment of letters as posited by investigators like Dr. Keith Massey, the cleartext presents a coded form of Elgar’s name expertly woven into the fabric of the cleartext. Elgar made it an obvious place to look because of the anomalous dot above the sixth character in row three. This “EDU” Dot Cipher furnishes the author's signature conspicuously missing from his missive to Miss Penny. It is astonishing that his signature remained undetected since the cipher was first publicized 85 years ago. One reasonably wonders what else the so-called experts failed to detect lurking just beneath the surface of the Dorabella Cipher cleartext. After all, Elgar's encoded signature was not difficult to spot.


Elgar’s earliest compositions such as Sevillana (1884) and Spanish Serenade (1891) gravitate to Spanish themes. Composed at the zenith of his career, his Violin Concerto (1910) offers a cryptic dedication in the Spanish language. Elgar’s interest in Spanish spurred further cryptanalysis of the Dorabella Cipher cleartext in search of Spanish terms. This endeavor uncovered eight discrete Spanish words: Peca, y, ir, cerré, se, essed, and ser.
The first (peca) in row one means “spot” and conforms with the conspicuous spots on the Dorabella Cipher. Occurring twice in the first row, the second (y) means “and.” The third (ir) in row one means “to go,” suggesting that one should go to the singular spot above the sixth character in the third row where Elgar’s nickname is unveiled. The fourth (cerré) in row two means “I closed,” an apt characterization of enciphering a message to conceal its contents. The position of cerré in the second row is directly above Elgar’s pseudonym in row three, visually confirming the source of this cryptic statement. The fifth (se) that bridges the second and third rows means “I know”, affirming that Elgar knows the solution to his concealed message. The sixth (es) as the beginning of row three means “is.” The seventh (sed) in row three means “thirst,” overlapping with the first two letters of “EDU.” The eighth (ser) in row three is the verb “to be.” The discovery of these Spanish words in the Dorabella cleartext indicates the participation of Elgar’s wife who was fluent in that romance language. These cryptograms evaded detection because cryptographers incorrectly assumed Elgar’s message could only be in English.
The word y (and) is the only single letter term among the other Spanish words with letter lengths of two (ires and se), three (sed and ser), four (peca), and five (cerré). Remarkably, the Spanish pronunciation of y sounds exactly like the letter e. Consequently, two ys in row one present a coded version of Elgars initials (EE).


There are a total of eleven Spanish terms in the cleartext of the Dorabella Cipher with some duplicates (se) and overlaps (se and es). Four correctly spelled Spanish terms with lengths of three letters or more (cerré, peca, sed, and ser) endorse the inclusion of shorter Spanish words of two letters or less (ir, esse and y). These words consume 22 out of 87 characters for just over 25 percent of the ciphertext. Such a high percentage makes it highly improbable that so many Spanish words are coincidental and the unintended result of a random text string. Assuming uniform selection from a 26-letter alphabet and accounting for 22 unique positions due to overlaps, Grok.ai estimates the joint probability of these eleven Spanish terms in the Dorabella cleartext at approximately 7.42 × 10-31, or about 1 in 135 nonillion. That joint probability is akin to winning dozens of lotteries in a row. Such a remote probability effectively rules out a random explanation and supports an inference of design.
With so many Spanish terms dispersed throughout the ciphertext, it was theorized that gaps of varying lengths between them could encode further information. To assess that possibility, a tabulation of character lengths for all gaps between Spanish words was compiled.
The cipher begins in row one with the first gap of one character before peca. The second gap has four characters between peca and y. The third gap has five characters between y and ir. The fourth gap has seven characters between ir and a second y. The fifth gap has twelve characters between y in row one and cerré in row two. The sixth and largest gap has seventeen characters between cerré and se that spans the second and third rows. The seventh gap has three characters between se and sed. The eighth gap has three characters between sed and ser. The ninth and final gap consists of fourteen characters that conclude row three. There are nine gaps with a total of 65 characters with sizes ranging from one to seventeen.


The first four gap lengths are 1, 4, 5, and 7. These sums correspond to the dotted numerals in the date (1, 4, and 7), and the dotted character in row three which represents e, the fifth letter of the alphabet. When the numbers 1, 4, 5, and 7 are converted into letters of the alphabet using a basic number-to-letter key  (1 = A, 2 = B, 3 = C, etc.), they yield the plaintext A, D, E, and G. These letters pinpoint the four strings of the violin (E, A, D, and G). Elgar served as an orchestral violinist and taught that instrument at various schools. The splayed V-pattern of the dots in the date suggest the violin’s initial.
The next step in the cryptanalysis was to convert character lengths of the nine gaps in the cleartext between Spanish terms into corresponding letters of the alphabet using a number-to-letter key. This conversion relies on Elgar’s notebook key which condenses the cipher alphabet from 26 to 24 by conflating similar letters (i/j and u/v). The results of this number-to-letter conversion are summarized in the table below:


The application of a number-to-letter key to these nonsense text gaps using Elgar’s 24 character notebook cipher alphabet generates the following plaintext: A, D, E, G, M, R, B, C, and O. It is significant that four of these gap letters spell “DORA”: A, D, E, G, M, R, B, C, and O. It is conceivable that Elgar used a simple number-to-letter key to encode part of his message using the lengths of nonsense text strings separated by identifiable Spanish words. There are 169 possible anagrams obtained from these nine gap letters with correct spellings, and two results featuring “MR CODE,” a fitting title for Elgar who was fascinated by cryptograms. The remaining three letters (A, G, and B) are anagrams of gab and bag. Merriam-Webster defines gab as “talk” and “idle talk.” The first possible anagram “GAB MR CODE” is a decryption that reflects Elgar's desire to communicate in code.
Merriam-Webster furnishes numerous definitions of bag. When used as a verb, bag means “to get possession of by strategy and stealth,” “capture,” and “win.” A second possible anagram is “BAG MR CODE”, a solution that aptly describes the process of defeating Elgar’s cipher and capturing its solutions. Another definition for bag is “an assortment or collection especially of nonmaterial things” and provides the sample phrase “a bag of tricks.” A third prospective anagram is “MR CODE BAG”, a decryption that refers to Elgar’s cunning stratagems for concealing and hardening his ciphers.
A fourth possible anagram obtained from these nine plaintext letters is “DORA GEM BC.” Dora is the forename of the recipient of Elgar’s coded missive. Merriam-Webster defines a gem as “a precious or semiprecious stone cut and polished for ornament” and “a highly prized or well-beloved person.” The latter definition is heavily implied by the encoding of Dora’s name. “BC” is the acronym for “Before Christ.” A coded reference to “Before Christ” is a fitting reference to the daughter of an Anglican Rector who remained active in the church throughout her life.
A credible reading of the anagram “DORA GEM BC” is “Dora, a gem before Christ” with the repetition of the aThe conflation of Dora with gem produces the compound “Doragem,” a prospective wordplay on “Diadem.” A diadem is a jeweled headband or crown which is often adorned with gems. The New Testament describes the awarding of various crowns to those who follow Christ. These include a “crown of glory” (1 Peter 5:4), a “crown of righteousness” (2 Timothy 4:8), a “crown of rejoicing” (1 Thessalonians 2:19), a “crown of life” (James 1:12 and Revelation 2:10), and an “incorruptible crown” (1 Corinthians 9:24-27). The anagrams “GAB MR CODE,” “BAG MR CODE,” “MR CODE BAG,” and “DORA GEM BC” are collectively labeled the Spanish Gaps Anagrams Cipher.
The anagram “DORA GEM BC” (Dora, a gem before Christ) is a suitable declaration from an older married man to a younger unmarried lady is respectful and appropriate following their first extended visit. With so many overlapping interests and family connections, Elgar and Dora became fast and enduring friends. Their friendship is movingly depicted by Variation X (Dorabella), a coruscating gem in the Enigma Variations. As one of the longest movements at 73 bars, Elgar clearly longed for Dora’s attention and company.
Four languages are employed in the Dorabella cipher: English, German, Latin, and Spanish. The first letters of these four languages is an acrostic anagram of “LEGS”: Latin, English, German, Spanish. Why would Elgar encode a reference to legs in connection to Dora Penny? In her memoir, she recalls during Elgar's July 1897 visit that he performed some of his original compositions on the piano including excerpts from Lux Christi, Scenes from the Bavarian Highlands, and sketches from Caractacus. When she heard the lullaby In Hammersbach, she said, “That's lovely — I should like to dance to that.” “Elgar replied, I wish you would: I'll play it again.” She reports, “So much did he like it that I was called upon to ‘come and dance’ Hammersbach’ on several occasions at Malvern.” The “LEGS” Acrostic Anagram is a subtle reference to Dora’s proclivity to dance along to Elgar’s music.
There is a secret melody that serves as the contrapuntal cornerstone of the Enigma Variations. Dora pleaded with Elgar to share the title of that mysterious melody, but he steadfastly declined her persistent overtures. When she begged for the solution, he replied, “Oh, I shan’t tell you that, you must find it out for yourself.” “But I’ve thought and racked my brains over and over again,” she insisted. He answered, “Well, I’m surprised. I thought that you of all people would guess it.” The reason Elgar suspected Dora, the daughter of an Anglican Rector who actively sang in church, would guess the hidden melody is because it is the famous hymn A Mighty Fortress (Ein feste Burg) by the German Reformer Martin Luther. Little did Dora realize that the ending phrase from that Protestant anthem is quoted twice in Variation X by the inner voice. If only she had searched for the mysterious tune’s ending rather than its beginning, she would have soon unmasked the solution for herself, for she sang it many times in church.


Dr. Massey presents some persuasive evidence in favor of meaningless text strings in the Dorabella Cipher. His assessment may be correct regarding the non-Spanish sections of the cryptogram. That would explain why even the most advanced computer systems fail to yield any sensible results. Based on my independent analysis, however, the varying lengths of these “nonsensical” text strings segregated by Spanish words encode a message that includes the name Dora, the recipient of Elgar’s coded message. In a potent irony, Elgar deploys nonsense text strings to encode something entirely sensible. In the process, he secured a cryptographic coup that stumped the best and brightest for more than eight decades. My original research confirms that Elgar’s methods of encryption deployed in the Dorabella cipher are relatively straightforward and simple enough for a novice like Dora to unravel. To learn more about the secrets behind the Enigma Variations, read my free eBook Elgar's Enigmas ExposedPlease help support and expand my original research by becoming a sponsor on Patreon.

Thursday, November 18, 2010

Variation X (Dorabella) with "Ein feste Burg"

God writes the gospel, not in the Bible alone, but on trees and flowers and clouds and stars.
This is what I hear all day – the trees are singing my music – or have I sung theirs?
Music is written on the skies for you to note down.
Edward Elgar
    

Variation X from the Enigma Variations by Edward Elgar is dedicated to Dora Penny (1874–1964), the daughter of the Reverend Alfred Penny (1845–1934) of Wolverhampton. Following the death of his first wife, Reverend Penny wed the sister of William Meath Baker, the friend portrayed in Variation IV. Elgar bestowed on Dora the nickname “Dorabella” after a leading soprano role in Mozart’s opera Così fan tutte. She was a frequent companion on outings, joining him for such pastimes as kite flying and bicycle riding. Dora delighted in improvising dances to Elgar’s music, and her variation captures her graceful, delicate spirit. It also teases her gently about her stutter in the opening woodwind phrase, a halting figure that may be sung to the syllab    les of her nickname (“Dor-a-bel-la”). Subtitled Intermezzo, the movement is one of the longest in the set at 73 measures with a duration approaching three minutes.

Do    ra made repeated unsuccessful attempts to guess the hidden melody of the Enigma Variations. During one exchange, she begged Elgar for the answer. He replied, “Oh, I shan’t tell you that, you must find it out for yourself.” “But I’ve thought and racked my brains over and over again,” she protested. He answered, “Well, I’m surprised. I thought that you of all people would guess it.” It is significant that Elgar never cooled her quest for the hidden tune by suggesting that there was none to begin with, or that her movement was not a “Variation” at all.

Contrary to the claims of leading Elgar scholars, Variation X is demonstrably a counterpoint to the covert melody. The following short score documents how Ein feste Burg plays “through and over” Variation X as a counterpoint, precisely as Elgar divulged in multiple primary sources. The chorale unfolds in the phrase sequence ABCDEFBAB — nine phrases in all, a compact reordering of the canonical structure (ABABCDEFB). In this permutation, the opening phrase pair returns at the close, mirroring the movement's own reprise design. The hymn remains dormant in bars 359, 371–378, 389–398, and 411–423, accounting for 32 of 73 measures, or approximately 44% of the movement. This comparatively high proportion of dormant bars accords with Julian Rushton’s theory that substantial portions of Variation X predate the Enigma Variations, explaining why certain passages exhibit no discernible counterpoint with Ein feste Burg. Rushton's hypothesis dovetails with Elgar’s well-documented habit of repurposing sketches accumulated during earlier creative periods.










Leading Elgar scholars have made little headway in drawing any substantive connection between Variation X and the Enigma Theme. Some even go so far as to insist that Variation X is not a variation at all. For example, Rushton bluntly states, “‘Dorabella’ is no variation…” Such a claim invites the question of why Elgar used the word “Variation” in connection with this movement. The only obvious explanation is that Dorabella is precisely what Elgar called it. When scholars sharpen their sensibilities to the slightest subtlety, they risk dulling their minds to the agonizingly obvious. Elgar scholarship, like all other disciplines, suffers from more than one example of this disorder. Indeed, Rushton’s blunder is far from being an isolated incident. To his credit, Rushton’s claim proves accurate for 32 out of 73 measures, 44 percent of the movement where Ein feste Burg lies dormant. Nonetheless, such a percentage falls short of a passing grade.

In its original form, Ein feste Burg (like the Enigma Theme) is set in common time (4/4). Variation X, by contrast, unfolds in triple meter with three quarter-note beats per measure (3/4). This metrical disparity necessarily demands some flexibility in threading the notes of the covert melody “through and over” the movement. Just as Elgar freely reconstrued the Enigma Theme in each of the variations, so too must the hidden melody adapt fluidly to the shifting contours of the complete set. Executing these melodic mappings therefore requires careful attention to each movement’s particular meter, key, and melodic and harmonic architecture. This flexible approach finds scholarly precedent in the work of Dr. Clive McClelland, who cogently argues for the application of free rhythm in his paper “Shadows of the Evening: New Light on Elgar’s ‘Dark Saying’.”

The phrases of Ein feste Burg mapped over Variation X originate from three contrasting versions of the hymn, forming a tribrid melody consistent with the pattern established across the Enigma Theme and Variations I–IX. Phrase A reflects Bach’s rendering in the final chorale (“Das Wort sie sollen lassen stahn”) of his Cantata BWV 80 in both of its appearances. Phrase B likewise follows Bach’s version in each of its three statements, the second and third sounding in rhythmic augmentation. Phrase C draws on both Bach’s and Mendelssohn’s renderings, while Phrase D presents the contour common to all three versions — Luther’s original, retained alike by Bach and Mendelssohn. Phrase E reflects Mendelssohn’s distinct treatment from the Finale of his Reformation Symphony. Phrase F is based on Bach’s rendering, and the sequence closes with restatements of Phrases A and B as realized by Bach. Although Bach’s and Mendelssohn’s versions predominate on the surface of this mapping, both are elaborations of Luther’s original melody, which supplies the shared foundation audible in Phrase D. Ecclesiastes 4:12 declares that a threefold cord is not easily broken; and so it is with this tribrid theme, woven from the distinct yet harmonious contributions of Luther, Bach, and Mendelssohn. Consult the following exhibit to compare corresponding phrases from all three versions of Ein feste Burg.



Dora recalled in her memoir that Elgar “…said there was only a trace of the ‘Enigma’ theme in the Intermezzo which no-one would be likely to find unless he knew where to look for it. Intermezzo is the subtitle of Variation X. Elgar clarified where to look in explanatory notes written for the Aeolian Company (Duo-Art) pianola rolls issued in 1929. Concerning Variation X, he advised that “the inner sustained phrases at first on the viola and later on the flute should be noted.” His brief remark singles out the inner melody yet offers no reason why — and tellingly, those sustained phrases bear no obvious resemblance to the Enigma Theme as written, leaving Elgar’s hint unexplained by conventional accounts. The word noted deftly hints at scrutinizing the notes of the inner phrase. The discovery of the hidden melody supplies the missing explanation. The inner countermelody twice states, in rhythmic augmentation, the first four notes of the concluding Phrase B of Ein feste Burg — G, F♯, E, D — sounding six bars before Rehearsal 42 and again six bars before Rehearsal 45.



The first four-note fragment of Ein feste Burg emerges at measure 382, and the second instance at measure 404. As shown earlier on the short score, both statements of the concluding phrase are followed in mid-measure by a double barline, a notational anomaly that conveniently demarcates the end of the chorale. Little wonder Elgar told Dora that she, of all people, should have guessed the melodic solution. Alone among the variations, the movement bearing her nickname directly quotes the first four notes of the secret melody’s ending phrase, expertly camouflaged in augmentation by the inner voice. This is not the only occasion on which Elgar slips in the chorale’s final phrase, for he cloaks it in a dotted rhythmic pattern at Rehearsal 66 in Variation XIV. While everyone searched in vain for the beginning of the hidden melody, Elgar playfully flaunted its final phrase out in the open, thinly disguised by rhythmic alterations. This calculated emphasis on the chorale’s ending phrase recalls the quotation from Longfellow’s “Elegiac Verse” that Elgar inscribed at the close of the extended Finale: “Great is the art of beginning, but greater the art is of ending.” Remarkably, each four-note incipit marks the beginning of the ending phrase, planting Elgar’s emphasis exactly where Longfellow’s priority lies. In the movement dedicated to the friend he insisted should have guessed the tune, Elgar quietly embraced the greater art.

In her memoir, Dora Powell recounts a visit to Craeg Lea when Elgar was scouring various English translations of the Bible to assemble a suitable libretto for The Apostles. As he struggled to find just the right line to follow one of Christ's Beatitudes, he asked Dora for a recommendation, and she promptly supplied a verse from Psalm 85:

    The study seemed to be full of Bibles. He had a Bible open on the table in front of him and there seemed to be a Bible on every chair and even one on the floor.
    “Goodness!” I said. “What a collection of Bibles! What have you got there besides the Authorized and Revised Versions?”
    “I don't know; They've been lent to me. I say, d’you know that the Bible is a most wonderfully interesting book?
    “Yes,” I said, “I know it is.”
    “What do you know about it? Oh I forgot. Perhaps you do know something about it? Anyway, I've been reading a lot of it lately and have been quite absorbed.”
    He appeared to be looking out texts and I offered to help.
    “I want something that will fit in here”—pointing to a line [where Christ sang “Blessed are they which do hunger and thirst after righteousness for they shall be filled.”]
    I thought for a moment and fortunately something suitable occurred to me and I quoted it. [“Mercy and truth are met together: righteousness and peace have kissed each other.”]
    “You don’t mean to tell me that comes in the Bible? Show it to me.”
    I found the eighty-fifth Psalm in one of the Bibles and laid it before him.
    “Well! That is extraordinary! It’s just what I want here.”

As the daughter of the Rector of St. Peter's Collegiate Church in Wolverhampton, Dora was steeped in scripture from childhood, and her ready command of the Psalter explains why Elgar conceded that she, of all people, should have guessed the melodic solution to the Enigma Theme. Ein feste Burg is Luther’s metrical paraphrase of Psalm 46, and a rector’s daughter who could summon the eighty-fifth Psalm from memory could surely be expected to recognize the most celebrated psalm-hymn of the Reformation. Yet in his 1899 program note, Elgar stipulated that the solution to his Enigma “…must be left unguessed.” Therein lies the tension: the answer was so far outside the realm of possibility for a Roman Catholic composer like Elgar that no one — not even Dora — would ever suspect the “battle hymn” of the Reformation. There is a characteristically Elgarian irony in the choice: a devout Roman Catholic composer covertly enshrining the defining hymn of the Protestant Reformation composed by a priest whom Pope Leo X excommunicated from the very Church Elgar served.

Dora’s rectory upbringing and training as a soprano immersed her in the hymnody of the English church, the very repertoire in which the hidden theme had taken root. On page 324 of A Dictionary of Hymnology (1892), John Julian records that Ein feste Burg “…has now become well-known in England, and in its proper form is included in the C. B. for England, 1863.” “C. B.” abbreviates the Chorale Book for England, a collection of German chorales in English translation that carried Luther’s hymn into English worship. Elgar advised that the absent melody was “…so well known that it is extraordinary that no one has spotted it yet.” Among Elgar’s friends at the time he composed the Enigma Variations, Dora was the most active musically. As she recalls in her memoir, “I was so mixed up with tunes in those days; Choral music; Church music, and orchestral music — and then my own solo singing, scenes from opera, songs, ballads, and so on.” Church music stands second on her own list — precisely the domain where Ein feste Burg had become naturalized in England.

Choral music, church music, and orchestral music — what popular tune could be featured so prominently in all three genres? One compelling answer is Ein feste Burg. Not only was it a standard in Anglican hymnals, it also became very popular during the Bach resurgence in England beginning in the 1870s because Bach’s most famous cantata (BWV 80) is a series of variations based on that historic theme. In opera, Ein feste Burg is well known because it is featured in Meyerbeer’s Les Huguenots, the most successful grand opera of the nineteenth century. In orchestral music, it is quoted in numerous works by no less than Bach, Mendelssohn, Meyerbeer, Nicolai, Raff, Wagner, Liszt, and Reinecke. No other melody is featured so prominently, frequently or famously by the great German masters. As late as March 1853, Robert Schumann (Elgar’s “ideal!” composer) planned to compose an oratorio titled “Luther” featuring Ein feste Burg in the final climactic chorus. If Ein feste Burg was profound enough to attract the attention of some of the greatest composers of the German school — particularly those Elgar venerated and emulated — then the magnetic allure of this powerful hymn could not have escaped Elgar’s respect and artistic admiration.

In the royal life of England, Ein feste Burg was given a prominent place of honor, as shown by the coronations of 1902 and 1911 — global events in the Edwardian era attended by leaders and representatives from around the world when the sun did not set on the British Empire. At the 1902 coronation of King Edward VII, Ein feste Burg was performed multiple times, first as a hymn during the processional and later as quotations in Wagner’s Kaisermarsch. This same hymn was performed at the 1911 coronation of King George V and Queen Mary, again as part of the processional music and also in the homage anthem composed by Sir Frederick Bridge “making liberal use of Ein’ feste Burg.” Elgar heard and performed Ein feste Burg on numerous occasions in the years preceding the genesis of the Enigma Variations due to the Bach resurgence that swept England beginning in the 1870s. Bach’s works were routinely performed at the Three Choirs Festival from the early 1870s, with the St. Matthew Passion first given there in 1871, and the music of Bach and Mendelssohn remained commonplace in England throughout the 1880s and 1890s. Elgar began playing violin with the Festival orchestra in 1878. The Monthly Musical Record confirmed Bach's cantata A Stronghold Sure (Ein feste Burg) was performed at the Three Choirs Festival on September 10, 1890.

The following short score tracks the contrapuntal course of Ein feste Burg “through and over” Variation X 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. Variation X generates 89 melodic conjunctions and 83 harmonic conjunctions, for a combined total of 172 — the total number of melodic and harmonic conjunctions serves as an objective measure 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 X achieves precisely that objective, with conjunctions registering in forty of the forty-one measures where the hymn sounds.










Various contrapuntal devices are evident in this mapping such as augmentation, diminution, parallel motion, oblique motion, similar motion, and contrary motion. Augmentation is the restatement of a melody using expanded note values, and diminution is its opposite, the restatement of a melody using shorter note values. Parallel motion occurs when two voices move in the same direction by the same interval, while oblique motion transpires when one voice moves as the other remains stationary. Similar motion takes place when two voices travel in the same direction by different intervals, and contrary motion arises when two voices proceed in opposite directions. Instances of similar and contrary motion are labeled SM and CM, respectively, in the annotated short score. An effective counterpoint typically employs a fairly balanced mix of contrary and similar motion, which is clearly evident throughout this mapping, as the SM and CM annotations appear in close alternation across the movement. A particularly striking case of augmentation resides in Elgar’s own score: the inner voice sounded first by the viola and later by the flute presents the first four notes of Phrase B in augmentation, a countermelody Elgar singled out for attention in his program note with the remark that “the inner sustained phrases at first on the viola and later on the flute should be noted.”

The following table identifies 89 melodic conjunctions between Ein feste Burg and Variation X dispersed across 33 active bars, covering 80% of the 41 measures where the hymn sounds. In most bars where melodic conjunctions are absent, harmonic conjunctions maintain the contrapuntal connection. The 89 melodic conjunctions encompass seven note types with frequencies ranging between 2 and 23. Note G leads with 23 matches (26%), followed by D and F♯, tied at 19 each (21% apiece), E with 15 (17%), C with 6 (7%), B with 5 (6%), and C♯ with 2 (2%). The three most frequent notes (G, D, and F♯) account for more than two-thirds (69%) of all melodic conjunctions, reflecting the tonic (G), dominant (D), and leading tone (F♯) of G major, the home key of Variation X.



The following table identifies 83 harmonic conjunctions between Ein feste Burg and Variation X dispersed across 33 active bars, covering 80% of the 41 measures where the hymn sounds. The 83 harmonic conjunctions encompass nine note types with frequencies ranging between 1 and 23. Note D leads with 23 matches (28%), followed by G with 21 (25%), E with 11 (13%), F♯ with 10 (12%), C♯ with 6 (7%), B and C tied at 4 each (5% apiece), E♯ with 3 (4%), and D♭ with 1 (1%). The three most frequent notes (D, G, and E) account for two-thirds (66%) of all harmonic conjunctions, reflecting the dominant (D), tonic (G), and submediant (E) of G major, the home key of Variation X.



There is a combined total of 172 note conjunctions (89 melodic + 83 harmonic) across the active bars of Variation X, covering 40 of the 41 measures where the hymn sounds for a 98% coverage rate. While melodic conjunctions are present in 33 of the active bars, harmonic conjunctions maintain the contrapuntal connection in seven others, ensuring that all but a single active measure (bar 362) features some combination of melodic and/or harmonic conjunctions. This demonstrates that Ein feste Burg engages the full harmonic texture of Variation X rather than merely overlapping with its surface melody.

This comprehensive, note-by-note penetration — resuming undiminished each time the hymn reenters after its dormant intervals at 359, 371–378, 389–398, and 411–423 — embodies the defining hallmark of a genuine contrapuntal mapping. Elgar’s own description of the hidden theme proceeding “through and over” the set of Variations is thus borne out with striking quantitative precision. Far from merely visiting Variation X in passing, Ein feste Burg permeates it at nearly every structural level: melodically with the movement's principal tune, harmonically with its inner voices, and formally with the nine-phrase arc (ABCDEFBAB) spanning the movement. Such a pervasive and structurally coherent alignment — encompassing 172 sequential note conjunctions across seven melodic and nine harmonic note types — provides compelling, quantifiable evidence that Ein feste Burg forms a clear and convincing counterpoint to Variation X.

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 X (Dorabella) rewards scrutiny at each level at which Elgar is known to have devised puzzles — cryptographic, musical, and verbal. The movement’s title is itself a borrowed mask: Elgar drew the nickname for Dora Penny from Mozart’s Così fan tutte, an opera whose title (“Thus do they all”) winks at the notion of concealment and deception behind a charming exterior. Dora Penny occupies a singular place in the Enigma’s cryptographic history, for it was to her that Elgar sent the famous Dorabella Cipher in July 1897, fifteen months before the genesis of the Enigma Variations. When Dora later pressed him about the hidden melody, Elgar replied, “I thought that you, of all people, would guess it.” The remark is telling. As the daughter of an Anglican rector, Dora was steeped in Protestant hymnody, and a famous Lutheran anthem is precisely the sort of tune she “of all people” would be able to recognize. Elgar even singled out this movement’s inner voice for special attention, remarking that “the inner sustained phrases at first on the viola and later on the flute should be noted.” The reason for Elgar’s emphasis on those inner phrases is that they cite the first four notes of the ending phrase from Ein feste Burg in augmentation.

The musical evidence is equally exacting. The contrapuntal mapping of Ein feste Burg above Variation X produces 89 melodic conjunctions and 83 harmonic conjunctions for a combined total of 172, spanning 40 of the 41 measures where the hymn sounds for a coverage rate of 98%. Where melodic conjunctions fall silent, harmonic conjunctions consistently maintain the contrapuntal thread, leaving only a single active measure (bar 362) without a match. This is not a scattering of coincidental overlaps but a sustained architecture. The hymn’s canonical phrase structure (ABABCDEFB) unfolds across the movement in the elaborated sequence ABCDEFBAB, preserving the correct order of all seven phrases before closing with appended restatements of Phrases A and B.

As with the Enigma Theme and Variations I through IX, the phrases mapped across Variation X are tribrid in origin, drawn from three distinct historical settings of the hymn: Luther’s original, Bach’s realization in Cantata BWV 80, and Mendelssohn’s rendering in the Reformation Symphony — woven together as a threefold cord not easily broken. That this movement should yield so complete a mapping is fitting. Scholars who deny Dorabella the status of a variation have, in effect, conceded they can find no thread binding it to the Enigma Theme. Scholars who deny Dorabella the status of a variation have, in effect, conceded they can find no thread linking it to the Enigma Theme. That verdict proves threadbare, for absence of evidence is not evidence of absence. 172 note conjunctions form that indelible thread precisely where Elgar said the answer lay all along, in a “larger theme” that “goes” through and over the whole set, sounding even across a movement its dedicatee — the recipient of Elgar’s most famous cipher — was expected “of all people” to guess.

The wordplay and cryptographic threads converging on Dora Penny, the composer’s own directive to attend to the movement's inner voice, and the quantitative rigor of 172 note conjunctions distributed across a structurally intact nine-phrase mapping supply overwhelming evidence that Ein feste Burg is a viable counterpoint to Variation X exactly as Elgar's own accounts of the secret melody require. 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.