Puzzle Canon “celebrates the aesthetic value of symmetry in music. We hope to introduce you to a centuries-old, little-known but fascinating tradition, by featuring outstanding examples by both well-known and obscure composers. On this site, compositions of precise symmetry are featured …”
The site features an a cappella piece Johannes Brahms, improbably arranged for four soprano parts: “The four-voice, posthumously published modulating canon “Mir lächelt kein Frühling” is much like a round, but each new entry enters a melancholy semitone lower than the last. Once all the voices have entered and as each of these voices makes its way through the 16-measure melody, what we hear is a four-measure unit or iteration descending each time by semitone.”
“I Do, I Do, I Do, I Do, I Do” was the third single released by the Swedish band ABBA for their eponymous third studio album, recorded in 1975. The trade magazine Cash Box praised the tune for its “richly textured vocals, [which] give this fifties sounding shuffle an extra push, push, push, push.”
Beginning in C, the song modulates up to Db for the last chorus at 2:22.
“The pianist and composer Cécile Chaminade (1857-1944) was admired by the British Queen Victoria, for whom she often performed at The House of Windsor.” (I Care If You Listen). In 1913, France awarded her the Légion d’Honneur. But after her death, Chaminade was virtually forgotten. “George Bizet, a household friend at the Chaminade residence in Vésinet, a stylish suburb of Paris, lovingly called her ‘My little Mozart’. He advised her parents to send young Cécile to the Paris Conservatoire to study piano and composition. Papa, director of an insurance company and amateur violinist, refused permission, however: ‘Bourgeois girls are predestined to become wives and mothers.’”
Nonetheless, Chaminade gradually built a career in France as a composer and a performer. Eventually, she wrote 400 works and “not only succeeded in getting all her four hundred works performed, but also got them published – not a matter of course for a female composer at the time.” Despite her father’s reductionist attitude towards her career, after his death in 1887, Chaminade “had to support herself and her mother with her compositions and recitals, and this may be the reason why she concentrated on chamber music hereafter. The often-heard assessment that her music ‘doesn’t transcend the level of salon music’ is an affront. Yes, her writing is easily accessible and shies away from the drastic dissonances Wagner or Schönberg offer, but it is very well made and shows a remarkable control of classical counterpoint.”
Chaminade’s Concertino in D Major for Flute and Piano, Op. 107 (1902) is so prominent in the flute literature that among flutists it’s generally referred to simply as “The Chaminade.”Originally written for flute and piano, it was later also arranged for flute and orchestra. The piece was dedicated to the prominent French flutist and educator Paul Taffanel.
Beginning and ending in D Major as advertised, it cycles through quite a few other tonalities along the way, as this score-based video illustrates.
From the CBC’s feature on Tchaikovsky’s First Concerto (1866): “It’s among the most popular works in the entire classical repertoire, a favorite of concert pianists headlining with symphony orchestras the world over … The concerto was an immediate success and has been a staple of the repertoire ever since, its penetration into pop culture later being confirmed by its use on The Simpsons, Mad Men and numerous films. Its most famous performance happened at the inaugural International Tchaikovsky Competition in 1958 — the height of the Cold War — when pianist Van Cliburn played it in the final round. It took approval by then Soviet leader Nikita Krushchev for the jury to award the first prize to an American.”
Radio Free Europe reports that after Russia’s name, flag, and anthem were banned from all major sporting competitions from 2021 to 2023 by the World Anti-Doping Agency due to violations, Russian nationals competing in the Olympics instead heard a fragment of the Concerto when Russian athletes at those events won a gold medal.
After pizzicato strings and a soaring flute begin the piece gently in Db major, the piano states the theme. After an early transition section starts at 1:08 with a mischievous sense of mystery, we land in D major at 1:24 for a full feature by the woodwinds. Thereafter, plenty of other dramatic shifts continue, with the orchestra refusing to take a back seat to the piano in most sections.
The unique funk-pop covers spread like wildfire in the music community, garnered them millions of views, and got them the attention of many acclaimed artists, namely 16x Grammy Award winning producer David Foster … (he) has acquired a significant fan base of high-profile musicians, including music impresario Quincy Jones: ‘He’s different though, he’s got the perfect balance of right brain creativity and left brain music theory. It’s in his blood,’ says Jones. ‘He’s got soul, with one of the biggest ranges I’ve ever heard.’”
Nilsson’s “Diamond Ring” (2021), featuring the legendary Steve Vai playing “Stunt Guitar,” finds Nilsson out from behind the keyboards, thoroughly embracing the role of frontman. After starting in C# minor with a full funk groove, 2:19 brings a quiet interlude in D# major; at 2:43, we’ve climbed to E major. At 3:00, another transtion: the sole accompaniment is the band clapping en masse on beats 2 and 4, along with some beatboxing(?). The cherry on top is Vai’s appearing via green screen for a culminating solo in A Dorian minor as the tune’s volume — but never its intensity — fades.
“Born in 1934, to a Milanese family, Italian singer Ornella Vanoni spent most of her twenties alternating between theater and music … She started by singing “le canzoni della mala,” or songs about the underworld, but after meeting Gino Paoli in 1960 (with whom she wrote “Senza Fine,” one of her biggest hits) she began exploring the more sentimental sounds of pop” (AllMusic). She became known as the First Lady of Italian Music.
She later “branched out — both in terms of audience and style — from her homeland, exploring Brazilian music as she sang Italianized versions of Vinicius de Moraes and Toquinho as well as of Erasmo Carlos’ ‘Sent Ado A’beira Do Caminho,’ retitled ‘L’Appuntamento’ (a song which, incidentally, after its inclusion in the 2001 film Ocean’s Twelve, started a resurgence in Vanoni’s popularity stateside). She has also sung with jazz players like Herbie Hancock, Gil Evans, and Beppe Quirici.”
“L’Appuntamento” (1970) features half-step modulations at 1:50, 2:50, and finally 3:49 for the wordless outro. The tune hit #2 in Italy and enjoyed a wave of popularity after its feature in Ocean’s Twelve.
“Gogol Bordello is a spectacle,” (NPR). “The wildly exuberant, multi-ethnic group from New York City makes frenetic music that’s part punk rock, part Gypsy folk, part Cabaret. Led by Eugene Hütz, a Chernobyl survivor from Ukraine, the band is famous for its costumed live shows that often stretch for more than two explosive hours … ” The band, formed in 1999, has a focus of making “‘the contradictions of life sound harmonious,’ with a head-spinning mix of ska, punk, metal, rap, flamenco, roots reggae, dub and any other sounds they could think of.”
Pitchfork describes Gogol Bordello’s fifth studio album: “the aptly titled Trans-Continental Hustle is largely about the experience of being Gogol Bordello, about overcoming stigmas against immigrants and America’s tacit favoring of bland one-world homogenization in order to carve out a vibrant, warts-and-all space where life can be celebrated and differences cherished.”
The title track from the 2010 album starts with just an acoustic guitar, but soon more layers are added, building to the first chorus at 0:48, where the groove is fully in place. At 1:42, the key jumps up a major fourth; at 1:57, we skip up another full step, then returning to the original key at 2:27. Many thanks to our keen-eared mod scout JB for yet another wide-ranging submission!
“Although they never had much success in America, the Euro-disco group Boney M. were a European phenomenon during the ’70s” (AllMusic)“Fronted by German record producer Frank Farian, the group also included four West Indian vocalists who had been working as session singers in Germany … In October 1978, ‘Rasputin’ became one of the band’s UK Top Ten hits. Their music continues to sell well in Europe, with a compilation hitting the U.K. Top Ten in 1994 … Farian went on to create the late-’80s dance sensation Milli Vanilli.” The band was late-70s mainstay on the UK TV show Top of the Pops.
“Rasputin” (1978) certainly takes a unique approach towards Russian history. Dangerous Mindsreports that “the Soviet Union banned the song, which probably didn’t bother Boney M. too much.” The lyrics from the chorus set the tone:
Ra ra Rasputin Lover of the Russian queen There was a cat that really was gone Ra ra Rasputin Russia’s greatest love machine It was a shame how he carried on
At the 0:40 mark, the key falls approximately a quarter-step to B minor: an unusual way of working its way out of an intro!
Kai Christensen of Earsense.orgdescribes the context for Beethoven’s String Quartet, Opus 18 #4: “Beethoven worked painstakingly for two years to produce his first string quartets, Op. 18, published in 1801 in the fashion of the time as a set of six. Pre-dating them are the complete string quartets of both Haydn and Mozart, Haydn having written his last two complete quartets in the same years, finishing in 1799. Just as later composers were daunted by the supreme achievements of Beethoven before them, so Beethoven was acutely aware of the rich legacy of quartet literature already preceding him.”
“String quartet: A composition for solo string instruments, usually two violins, viola, and cello; it is widely regarded as the supreme form of chamber music. (Grove Music Online). That’s the textbook definition. Beethoven inherited the string-quartet tradition from his predecessors and shaped it into something unsurpassed in virtuosity, invention, and expressiveness. The definition could well read, ‘Beethoven’s quartets are widely regarded as the supreme form of chamber music.’ He wrote 16 string quartets, and they reveal his evolution as a composer and a man. It’s all there: earthy wit (yes, Beethoven could crack a joke), volatile temper (his fury was state of the art), and personal sorrow (he had plenty to weep about).”
One of several modulations in this movement alone, there is an emphatic shift from Eb major (complete with a plagal cadence at 2:11) to G minor at 2:19. This energetic yet precise performance is by The Dover Quartet, which The Chicago Tribune reviewed as possessing “expert musicianship, razor-sharp ensemble, deep musical feeling and a palpable commitment to communication …”
From James MacKay’s paper “Another Look at Chromatic Third-Related Key Relationships in Late Haydn: Parallel Keys and Remote Modulation in Selected String Quartet Minuets” in the journal HAYDN: Online Journal of the Haydn Society of North America 8.2 (Fall 2018): ” … third-related shifts in Haydn’s instrumental music occur earlier than 1790, especially in his string quartet Minuet-Trio movements, often built around a parallel major-parallel minor pairing of keys and their relatives. For instance, in Haydn’s String Quartet in F major, Op.50 no. 5 (Der Traum), third movement, Haydn effects a chromatic third modulation in two stages: touching briefly upon the parallel key (f minor) in the trio, then moving immediately to its relative major, A-flat (i.e. flat III of F major).”
Haydn, who lived from 1732-1809, wrote this string quartet (one of his six “Prussian” quartets dedicated to King Frederick William II of Prussia) in 1787. A nephew of Frederick the Great, Frederick William was one of the most notable patrons of music in eighteenth-century Germany and also an avid amateur cellist, according to the classical record label Hyperion.
This performance is by the Festetics Quartet, known for performing on period instruments. The third movement of this complete four-movement video begins at the 11:43 mark. At 13:20, the shift to Ab major is complete (note: the tuning in this performance is a far cry from A440!)
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