🎉 56:50: A special invitation to get feedback on your own arrangements and compositions (see below)
Part 3 — Q+A
58:15: How conscious are composers/arrangers of contrapuntal gestures?
1:05:15: What are parallel fifths?
1:07:40: What resources exist for learning contrapuntal gestures?
1:10:29: What is a half cadence?
1:17:10: D-sharp vs. E-flat in bar 15 of DeFord’s original vs. the corresponding instances in Murphy’s arrangement
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Tonality is a musicological debate about style disguised as a theoretical debate about pitch organization.
Whether it's Schenker's arrogant, narrow nationalism or Tymoczko's generous, imaginative catholicism, the debate around what defines “tonality” is, at its core, a question of repertoire.
No one would argue that the music of Bach, Beethoven, or Brahms is not tonal. But what about William Byrd? Or Bull? Or, to go the other direction, Barber? Or Britten? To say nothing of Charlie Byrd or the Beatles?
Whether the music of these latter figures is tonal depends on who you ask. But whether it exhibits pitch organization is indisputable.
Hence, tonality is fundamentally a question about style, not pitch organization.
Style is a red herring for composers
Learning to distinguish “tonal” from “atonal,” “post-tonal,” “pre-tonal,” or “extended tonal” music carries about the same relevance as distinguishing between sub-genres of death metal. It’s not useless—but it doesn't describe really how the music works. It mostly just identifies its stylistic markers.
In other words, “tonality” is an elaborately justified label.
For composers who want to know how music works, such stylistic labels are a red herring. Style can tell you what combination of features will produce a particular “sound,” but they don’t actually show you how it works. As Charles Ives quipped, “What has sound got to do with music?”
Milton Babbitt affirmed Ives’s quip when he asserted, “Nothing gets old faster than a new sound.”
Lest you think this bias against “sound” is some avant-garde fetish: First, remember how much avant-garde composers focused on sonic innovation. Second, put Babbitt’s words in the mouth of any pop music agent or producer, and you’ll notice that they fit right at home there, too.
Like cars and smartphones, the value of unique “sounds” quickly depreciates.
Style tells you little about musical excellence. Instead, it is a proxy for cultural power and relevance. Again, this is not a useless consideration—but it is, at best, tangential to the question of pitch organization.
Musicians can organize pitch in a lot of ways
In truth, “tonality” comprises a detailed collection of pitch strategies that musicians have used in various combinations and emphases. Many of these strategies carry over into music that exists at the edges or beyond the boundaries of what scholars consider “tonal.”
Among other concepts and approaches, they include assumptions about
octave equivalence
tuning and enharmonic equivalence
structural hierarchies
distinctions between consonance and dissonance
the qualities, spellings, and inversions of different intervals and chords
the functional equivalence of chord inversions
harmonic consistency
harmonic syntax via scale-degree function or hypermetrical placement
harmonic and voice-leading schemata
the usage of different scales
the prevalence of stepwise motion generally in melodic lines and strongly in harmonic voice leading
melodic shape via step progressions, rhythmic permutations, or hypermetrical placement
melodic structure via rhythmic motives, pitch motives, and pitch contours
the harmonic implications of all melodic lines
the functional distinction between the bass line and upper voices
degrees of formal articulation indicated by coordinated of harmonic and melodic gestures (i.e., cadences and pitch centricity)
Despite being almost 20 items long, this list is hardly an exhaustive catalog of pitch organization concepts and approaches. What distinguishes different styles is how they remix these principles.
Some pieces use many of these strategies. Others use only a subset of them. Still other pieces use different pitch strategies entirely.
Though many pieces contain all of these strategies, no single piece can be said to exemplify all of them.
Focus on the effect and interaction of choices, not their labels: What does Debussy’s music do to create its unique states of being?
Focus on the effect, not the label
Furthermore, none of these strategies or their applications is intrinsically “excellent” or “superior.” But noticing them allows musicians to hone their discernment about how specific pieces create the musical effects they do.
For instance:
How can Debussy get away with writing parallel fifths?
How does Beethoven write an hour-long symphony that isn’t boring?
How does Rachel Portman write an hour-long soundtrack that isn’t boring?
Why does Byrd’s counterpoint feel different than Bach’s and different again from Bartók’s?
How does Mahler give you goosebumps?
How does John Coltrane create the luminous sheen in his solos?
These questions do tell you something about style—but when you go beyond merely labeling these features to describing their relationships to key moments in a specific piece, that’s when you really start to understand how music works.
That’s when you can discern not just why Debussy’s style is different than Clara Schumann’s (for instance), but what the music is doing to create its unique states of being.
Thus, the most pertinent analytical question for composers is not “What style is this piece and why?” or even “What specific choices did x composer make?” but “What is the effect of these choices?”
Classical dissonance begins with a consonant preparation, continues to the dissonance in question, and finishes with a consonant resolution. Wikipedia says as much.
But as I was falling asleep I started wondering about the topology of suspensions — which suspensions work in which situation. There are three basic suspensions: 9-8, 7-6, and 4-3. In the chart below, I listed all the possibilities of preparation-dissonance-resolution in a somewhat scrambled order:
It turns out the topology of suspensions is somewhat bent. That is to say, not every bass interval is equally represented among each of the suspension categories:
Upward and downward seconds are capable of supporting any kind of suspension.
Fifths/fourths can support 9-8 suspensions either upward or downward, but the 4-3 suspension only works with ascending fifths/descending fourths, and the 7-6 suspension only works with descending fifths/ascending fourths.
Thirds are least capable of supporting suspensions. The direction of the third mandates the suspension type. The ascending third can support a 4-3 suspension. The descending third can support a 7-6 suspension.
I’m sure there’s some math to explain the asymmetrical distribution of bass intervals, but for 11:30 on a Thursday night, I’m going to leave this observation stand as is.
“I don’t know how you could possibly write music!”
It’s a refrain I hear often, even from talented musicians. And I can understand why they say that.
Writing music might seem like organizing thousands of isolated pitches and rhythms. For example, my latest arrangement included 2320 notes, 1273 rhythms, and 281 rests.
That’s daunting. But there is another way, and Pachelbel’s Canon and its friends reveal the centuries-old secret.
In my last blog post, I identified the gestures that compose the Latter-Day Saint hymn “Father in Heaven, We Do Believe.” Today I’ll show how these gestures are elaborated and how all these elements work in concert to make the arrival on “we receive” so striking.
Lately I’ve been studying how the Italian and French masters taught harmony and counterpoint. It’s fascinating. They didn’t analyze chords or study Byzantine diagrams. They learned to perform complete textures from a single musical line. Continue reading