MusicTheoryWithAndre

 Johann Sebastian Bach’s Sonata for Solo Violin No. 1 in G minor, BWV 1001, is one of the cornerstones of the solo violin repertoire, often regarded as an intricate exploration of both technical virtuosity and emotional depth. Composed around 1703–1704, during Bach’s early years in Köthen, the work represents a pivotal point in his development as a composer, establishing a foundation for the future evolution of the solo violin genre. While not as overtly virtuosic as the later violin concertos, BWV 1001 pushes the boundaries of violin technique, challenging the performer to navigate complex polyphony within the confines of a single instrument. At the same time, the work’s stark simplicity and profound expressiveness embody Bach’s uncanny ability to blend structural precision with emotional intensity. The first movement, the Adagio, is an introspective and meditative piece that immediately sets the tone for the entire sonata. In stark contrast to the more active movements that follo...

Johann Sebastian Bach’s Cello Suite No. 6 in D major, BWV 1012, occupies a distinctive and often paradoxical place within the cycle. At first glance, it appears to represent a culmination in brilliance and technical display, its key radiating clarity and openness in contrast to the darker inwardness of the Fifth Suite. Yet this brightness is inseparable from the suite’s unusual instrumental demands. Composed for a five-string cello—an instrument with an added high E string—the work extends the cello’s range upward, enabling a registral expansion that reshapes both texture and gesture. For modern performers on the four-string cello, this creates a fundamental tension: the music as written suggests an ease and luminosity that must instead be negotiated through adaptation and compromise. The suite’s character thus emerges from the interplay between apparent exuberance and underlying complexity. The addition of the fifth string is not merely a technical convenience but a decisive factor in...

 Johann Sebastian Bach’s Cello Suite No. 5 in C minor, BWV 1011, stands as one of the most profound and inwardly focused works in the cycle. Unlike the Fourth Suite, whose challenges arise in part from its key, the Fifth is rooted in a tonality that is entirely idiomatic to the cello. C minor has long been associated with gravity and expressive depth, and Bach fully embraces these qualities here. What distinguishes the suite, however, is not the key itself but the transformative use of scordatura—the retuning of the A string down to G. This adjustment reshapes the instrument’s resonance and internal balance, creating a darker, more veiled sonority. The effect is subtle yet pervasive: the cello feels at once familiar and altered, as if speaking in a more constrained and introspective voice. The suite’s character emerges from this tension between idiomatic grounding and structural transformation. The scordatura functions as a central expressive device, not merely a technical modifica...

 In 1749, George II was the second king to commission George Frederick Handel to write him something grand and pompous for an outdoor celebration. The first had been his father, George I, who asked Handel to write music for a concert that would take place on barges floating down the Thames. That concert took place about 30 years prior, and the anniversary of that concert is in mid-July, so the article about Water Music will come out then. This second collection, then, the Music for the Royal Fireworks, is often seen as Water Music’s twin, since both were written by Handel commissioned by British monarchs for outdoor, celebratory performances. Water Music was written for no particular reason—not a birthday, not an anniversary, not the birth of an heir or a royal wedding. The King simply wanted a concert on a barge floating down the river, and what the King wants, the King gets. George II, meanwhile, had a more obvious purpose behind his commission: to commemorate the signing of a ...

 Johann Sebastian Bach’s *Cello Suite No. 4 in E-flat major*, BWV 1010, represents one of the most distinctive and conceptually challenging works within the set. Where the Third Suite in C major projects outward with brilliance and resonance, the Fourth turns toward a more complex and, at times, enigmatic sound world. The choice of E-flat major—a key less naturally aligned with the cello’s open strings—immediately alters the instrument’s response, producing a denser, more veiled sonority. This shift is not merely technical; it shapes the suite’s entire expressive character. The music feels more constructed, more deliberate, and often more introspective, even in its moments of grandeur. Bach seems to be testing not only the limits of the instrument but also the performer’s ability to sustain coherence within a less naturally resonant tonal environment. The technical demands of BWV 1010 are inseparable from its musical identity. The suite frequently requires extended use of higher po...

 Johann Sebastian Bach’s *Cello Suite No. 3 in C major*, BWV 1009, marks a striking expansion of the expressive and technical world established in the first two suites. Where the Second Suite in D minor turns inward, exploring tension and restraint, the Third opens outward with confidence and brilliance. The shift to C major brings with it a broader sonic canvas: the cello resonates more fully, and Bach exploits this resonance to create music that feels at once grander and more extroverted. Yet this is not merely a return to the openness of the First Suite. Rather, it is a synthesis—combining the structural awareness and expressive depth developed in the earlier works with a newly assertive, almost orchestral conception of the instrument. This suite demands a heightened level of technical assurance from the performer. The writing is more expansive, often spanning a wider range of the instrument and requiring a stronger command of projection and articulation. Double stops and implie...

 Johann Sebastian Bach’s *Cello Suite No. 2 in D minor*, BWV 1008, occupies a markedly different expressive world from the openness and luminosity of the First Suite. If BWV 1007 feels like an unveiling—a presentation of the instrument’s natural resonance and possibilities—BWV 1008 turns inward almost immediately, exploring darker colors and a more introspective emotional terrain. The shift to D minor is not merely tonal but psychological: the music feels more burdened, more searching, and at times more austere. Where the First Suite often seems to revel in the cello’s natural ease, the Second seems to test its limits, both technically and expressively. The result is a work that deepens the language introduced in BWV 1007, not by adding surface complexity alone, but by intensifying the expressive stakes. Although still relatively early in the set, this suite demands a more sophisticated approach from the performer. The textures are less immediately transparent, the harmonic progres...

Johann Sebastian Bach’s *Cello Suite No. 1 in G major*, BWV 1007, sits at a fascinating intersection in his output, especially when considered alongside the works that immediately precede it. Coming on the heels of the *Brandenburg Concertos*, Bach shifts from the extroverted, multi-instrumental brilliance of those concertos into something far more intimate and introspective. Where the Brandenburgs explore contrast between groups of instruments and revel in color, texture, and interplay, BWV 1007 turns inward, asking a single instrument to suggest an entire musical world on its own. The contrast is striking: from the public, almost theatrical energy of ensemble writing to the private, self-contained voice of a solo cello. Yet the underlying ambition is the same—an exploration of what music can do when its boundaries are pushed. This suite is generally regarded as the simplest of the six, though “simplest” is better understood as “most transparent.” It introduces the technical and music...

 Johann Sebastian Bach’s Concerto in B-flat major, BWV 1051, occupies a distinctive place within his orchestral output, not only because of its tonal and formal characteristics but also due to its unusual instrumentation and expressive trajectory. Set in the key of B-flat major—a key often associated in the Baroque period with warmth, nobility, and a certain grounded richness—the concerto establishes from the outset a sonority that is darker and more inward than many of Bach’s more brilliant, violin-centered works. This tonal quality is reinforced by the absence of violins in the scoring. Instead, Bach draws on the sonority of viols, or more precisely, instruments that correspond in modern terms to the viola and cello or bass. The reference to the viol family evokes an older tradition: the contrast between the viola da braccio (“of the arm”), the direct ancestor of the modern viola, and the viola da gamba (“of the leg”), associated with bass instruments, is crucial to understanding...

 Today we come to the fifth of the set, and in a lot of ways, this is the one that feels the most “forward-looking.” It’s still very much a Baroque concerto grosso, but at the same time, there are moments where you can almost hear the future of the keyboard concerto trying to break through. The instrumentation alone tells you something is different: instead of a more typical solo group, we get flute, violin, and—most unusually for the time—harpsichord stepping out of its usual continuo role and into the spotlight. The first movement is, structurally, in ritornello form like so many we’ve already discussed: a central idea that keeps coming back, grounding the movement while the soloists branch off into their own material. But very quickly, something starts to feel different. The harpsichord isn’t just accompanying—it’s participating, trading lines with the flute and violin, and gradually taking on more and more importance. And then we get to the moment: the cadenza. Now, cadenzas we...

 This next Brandenburg Concerto, the fourth, is, like 2 before it and 5 after it, a concerto grosso. Using Corelli’s Christmas Concerto as a template, I’ve covered concerti grossi before, so I highly recommend you check that article out before continuing here. Like the third, it’s in G major. (But the pattern of couples in the same key will not extend any further; 1 and 2 were in F, and 3 and 4 are in G, but 5 and 6 are not in the same key.) In the first movement, notice how simple the melodic elements really are at their core: really, just broken chords. Bach also wrote several noteworthy works—BWV 846, for example—in this framework, and after more than 25 years, it still amazes me how much he can do with something so simple. There’s also a delightful contrast built into the scoring of this concerto that’s worth paying attention to. Instead of the more typical solo group you might expect in a concerto grosso, Bach gives us a violin and two recorders (or flutes, depending on th...

  Today, we move out of the F major concerti into the G majors; today with number 3 and tomorrow with number 4, we’ll be in that key. This one has a special place in my life, since it’s the only one I’ve actually ever played, and not just listened to many, many times, and spent a bunch of time thinking and writing about it. This concerto is the shortest of the collection and takes about as long to play through as does just the last movement of the first concerto (remember, the one with the set of dances all packed into one movement). A quick popular culture connection: if you’re intentionally listening to the concerto for the first time and you have a feeling you recognize it but you’re not sure from where and you’ve seen the movie “Die Hard,” yes, they do use this concerto in the soundtrack of the movie. The first movement, is, like many of the faster movements before it, in ritornello form; that is, there’s one central melodic idea that keeps coming back over and over, surrou...

  Having started our Brandenburg series yesterday with a bit of musical and personal history, let’s continue our journey through the set by looking at the second concerto today. Just like yesterday I told you to pay attention to one instrument in particular, I’m going to do the same today. In fact, it’s so crucial that you see it, that I’m actually going to show a screenshot:  This instrument I’ve circled is the piccolo trumpet, which is a trumpet that is pitched an octave higher than “normal” trumpets would be. Whenever you hear very high, ornamented brass lines throughout Brandenburg II, this is the instrument that will be playing it. Essentially, Brandenburg II’s modus operandi is “show off the piccolo trumpet, and everyone else can come along for the ride.” For this reason, Brandenburg II is notorious among (piccolo) trumpeters for being fiendishly difficult, and as you’ll see from the style of the opening, the trumpet writing in I vs in II are in completely different st...

Today, we’re starting a series on the Brandenburg Concertos—today, some of the most celebrated Baroque orchestral concerti, but, 300 years, practically junk mail. As hard as it is to be believe, the Margrave of Brandenburg, the ruler of the area, received the six concerti we know and love today as a kind of “content portfolio” exactly like an artist in various media looking for commissions might set up on a website or social media presence. Bach’s idea was, essentially, “I want a job, this guy has the funds and an orchestra to hire me, so I’ll send him a sample of my work, have them play it for him, he’ll like it, and I’ll get hired.” That didn’t happen. The Margrave completely ignored the set—in modern terms, not even “thanks, but you’re not the right candidate for the position;” straight-up ghosting one of the greatest composers ever—and as far as I know didn’t tell anyone they existed. I’ve said before that Mendelssohn was instrumental in bringing about a revival of Bach’s work (a...

 Today’s chord is Neapolitan. The example I’ll use is of a Neapolitan chord, but not of a Neapolitan sixth chord (which would be this, but in first inversion, and is in fact the most common way you would see it.) Do not confuse it, however, for the Italian sixth; that’s an augmented sixth chord, and this is a major triad. A Neapolitan can be quite jarring when you hear it, since in major, a) the ii chord is, as the Roman numeral notation I have used indicates, minor and b) there’s a whole step between scale degrees 1 and 2, not a half step. You create a Neapolitan by breaking both of those rules simultaneously: by creating a major chord rather than a minor one, on a flat2 of a major scale. When you do this in minor, however, you end up with what’s called a Phrygian II; go back to my article on the modern modes to review how you build the Phrygian, and why the minor-built version of this chord would have that name.   Expectation bias is quite powerful, and because the Nea...

  Today, we’ll finish up the 3 widely recognized “nationalities” of sixth chords with the German. Like the French and Italian before it, it too must, by definition, feature an augmented sixth and is built formulaically. The formula once again (recall the Italian only had 3) has four unique notes. You start from the root, then move up a major third, then a minor third (to this point, then triad you’ve build is a major triad rooted at the bass), and finally an augmented second above the third note in the chord.  Resolution here is fairly simple: all three lower voices move down by a half step, while the soprano moves up by the same amount. This cleanly gets us from the German sixth to the place where it wants to resolve to—the dominant. Notice how similar the German and Italian are. If an Italian is spelled Ab-C-C-F#, then to transform it into a German, you need only to raise the C in the alto voice to a D, giving Ab-C-D-F#.  I have many, many more pages of thoughts o...