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Musical cryptogram

Musical cryptogram is a computer science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Musical cryptogram rather than just read about it. In short: A musical cryptogram is a cryptogrammatic sequence of musical symbols which can be taken to refer to an extra-musical text by some 'logical' relationship, usually between note names and letters. The most common and best known examples result from composers using musically translated versions of their own or their friends' names (or initials) as themes or motifs in their compositions, with an early and commonly known…

Musical cryptogram — main illustration
Musical cryptogram — illustration

Key takeaways

  • Musical cryptogram belongs to computer science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Musical cryptogram to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Musical cryptogram from memory before moving on to harder problems.

Reference excerpt

A musical cryptogram is a cryptogrammatic sequence of musical symbols which can be taken to refer to an extra-musical text by some 'logical' relationship, usually between note names and letters. The most common and best known examples result from composers using musically translated versions of their own or their friends' names (or initials) as themes or motifs in their compositions, with an early and commonly known example being the BACH sequence used by the composer. These are not really rigorous cipher algorithms in the formal sense, but more like musical monograms or labels using initials. The methods used historically by composers were either too incomplete (i.e., did not include all of the letters of the alphabet) or too simplistic to meaningfully encrypt long text messages. There is a separate history of music ciphers utilizing music notation to encode messages for reasons of espionage or personal security that involved encryption and/or steganography. Because of the multitudinous ways in which various musical notes and textual letters and other elements can be related, or not, detecting hidden ciphers in music and proving accurate decipherment can be difficult.

History From the initial assignment by Western music theorists of letter names to notes in the 9th century it became possible to reverse the procedure and assign notes to the letters of names. However, this does not seem to have become a widely recognized technique until the Romantic period. From the mid-19th century it has become quite common. Sporadic earlier encipherments used solmization syllables.

Systems

Syllables to solmization names It is believed that this method was first used by Josquin des Prez in his Missa Hercules Dux Ferrarie. It was named Soggetto cavato by the later theorist Zarlino. Under this scheme the vowel sounds in the text are matched to the vowel sounds of the solmization syllables of Guido of Arezzo (where 'ut' is the root, which we now call 'do'). Thus the Latin name of the dedicatee 'Hercules Dux Ferrarie' (Ercole d'Este, Duke of Ferrara) becomes re-ut-re-ut-re-fa-mi-re, which translates as D-C-D-C-D-F-E-D in modern notation with C as 'ut'. This is used as the cantus firmus of the mass setting. Josquin's method was imitated by several of his contemporaries and successors, including Adrian Willaert and Costanzo Festa.

Letters to note names Since the note names only cover letters A to G (reflecting the octave repetition of these names), the problem arises as to how to cipher the rest of the alphabet. Historically there have been two main solutions, which may be labelled for convenience the 'German' and the 'French' methods.

German Because the development of note names took place within the framework of modes, in the German-speaking world B♭ was named 'B' and B♮ was named 'H'. The most common musical cryptogram is the B-A-C-H motif, which was used by Johann Sebastian Bach himself, by his contemporaries and by many later composers. Other note names were derived by sound, for example E♭, 'Es' in German, could represent 'S' and A♭ the digraph 'As'. Composers less fortunate than Bach usually seem to have chosen to ignore non-musical letters in generating their motifs. For example, Robert Schumann, an inveterate user of cryptograms, has just S-C-H-A (E♭, C, B♮, A) to represent himself in Carnaval. Sometimes phonetic substitution could be used, Schumann representing Bezeth by B-E-S-E-D-H. Johannes Brahms used B-A-H-S (B♭, A, B♮, E♭) for his surname in the A♭ minor organ fugue, and the mixed language Gis-E-La (G♯, E, A) for Gisela von Arnim, among many examples.

French The 'French' method of generating cryptograms arose late in the 19th century and was more akin to normal encipherment. The most popular version involved writing out the letters H–N, O–U and V–Z in lines under the original diatonic notes A–G, as follows:

so that A, H, O, and V are enciphered by note 'A', B, I, P and W by 'B' (flat or natural) and so on. This scheme was used by Jules Écorcheville, editor of the journal S.I.M., to solicit centenary commemorations of Joseph Haydn in 1909, except that he diverted the 'H' to B♮, presumably to avoid too many repeated notes. Writing to Gabriel Fauré about the invitation, Camille Saint-Saëns said he was writing to Écorcheville asking him to prove that Y and N could signify D and G as "it would be annoying to get mixed up in a farcical business which would make us a laughing stock in the German musical world." The many-to-one mapping of this method makes it more difficult to extract possible motifs from the musical score than the one-to-one correspondence (apart from 'As') of the German system.

20th century A French tradition of celebratory uses developed from the Haydn centenary, with tributes to Gabriel Fauré by Maurice Ravel, Florent Schmitt, Charles Koechlin and others in 1922 (added to in 1949 by Arnold Bax), and to Albert Roussel by Francis Poulenc, Arthur Honegger, Darius Milhaud and others (using various ciphering schemes) in 1929. Honegger's system involved placing the letters after 'H' under sharpened and flattened notes, an example of how chromatic cryptograms could be more easily accommodated in 20th-century music. Olivier Messiaen developed his own full cipher, involving pitches and note lengths, for his organ work Méditations sur le mystère de la Sainte Trinité (1969). Dmitri Shostakovich used the German scheme for his personal motto D-Es-C-H (D, E♭, C, B♮), representing D.SCH, which appears in many of his works. Elliott Carter featured both a cryptogram for the last name "Boulez" in his piece Réflexions (2004) and a sonic symbol of the first name "Pierre". Cryptograms were less common in England, but Edward Elgar, who was also interested in general cryptography and puzzles, wrote an early Allegretto for his pupils the Gedge sisters using G-E-D-G-E; his Enigma Variations involves extensive use of abbreviations (friends' initials) and cryptograms and potentially even a broader enigma to be 'solved'. Andersen Viana Brazilian multiartist has used the BbACB (Bach) cryptogram in his symphonic poem "Coeviaca: the messenger of fire".

21st century English musician Jonathan Spybey uses Greek Bible characters when composing works under the artist name 'John Three Sixteen'. The first piece published was 'For God So Loved The World' based on the Greek text for John 3:16. Later work also uses Biblica's NIV Audio Bible alongside the Greek originated music.

… excerpt ends here. Continue reading the full article.

Illustrations

Musical cryptogram: "Aschbeg" set in Schoenberg's Sechs kleine Klavierstücke, Op.19, no. 1, m.5[25] Playⓘ. The notes do not come in spelling order but are all adjacent (not separated by other notes).
"Aschbeg" set in Schoenberg's Sechs kleine Klavierstücke, Op.19, no. 1, m.5[25] Playⓘ. The notes do not come in spelling order but are all adjacent (not separated by other notes).
Musical cryptogram: BACH motif followed by transposed version from Schumann's Sechs Fugen über den Namen B-A-C-H, op. 60, no. 4, mm. 1-3[26] Playⓘ. C and H are transposed down, leaving the spelling unaffected but changing the melodic contour.
BACH motif followed by transposed version from Schumann's Sechs Fugen über den Namen B-A-C-H, op. 60, no. 4, mm. 1-3[26] Playⓘ. C and H are transposed down, leaving the spelling unaffected but changing the melodic contour.
Musical cryptogram: Sacher hexachord:[27] E♭ (Es) A C B (H) E D (Re) Playⓘ
Sacher hexachord:[27] E♭ (Es) A C B (H) E D (Re) Playⓘ
Musical cryptogram: Gade, Drei kleine Clavierstücke, no. 3, Alla marcia, mm.20-21[26] Playⓘ.
Gade, Drei kleine Clavierstücke, no. 3, Alla marcia, mm.20-21[26] Playⓘ.
Musical cryptogram: Haydn, Menuet sur le nom d'Haydn by Ravel Playⓘ
Haydn, Menuet sur le nom d'Haydn by Ravel Playⓘ

Worked examples

Example 1 — a first encounter with Musical cryptogram

Start with the simplest possible case. Write down what Musical cryptogram claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In computer science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Musical cryptogram before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Musical cryptogram ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Musical cryptogram

In research
Musical cryptogram appears in computer science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Musical cryptogram in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Musical cryptogram is common in secondary-school and first-year university syllabi. It links to neighbouring topics Composer tributes (classical music), Cryptography, Motifs (music), so understanding it makes those chapters shorter.
In everyday life
Look for Musical cryptogram outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Musical cryptogram in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Musical cryptogram means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Musical cryptogram out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Musical cryptogram in simple terms?

A musical cryptogram is a cryptogrammatic sequence of musical symbols which can be taken to refer to an extra-musical text by some 'logical' relationship, usually between note names and letters. The most common and best known examples result from composers using musically translated versions of the…

Why does Musical cryptogram matter?

Because it connects several computer science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Musical cryptogram?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Musical cryptogram.

Tags

  • Composer tributes (classical music)
  • Cryptography
  • Motifs (music)
  • Musical composition
  • Musical cryptograms
  • Musical techniques

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