MAPPING MUSIC

Tag: piano

  • A Small Sonata

    A sonata is typically a multi-movement piece for solo piano or for an instrument with piano. A shorter form with just three connected sections, the middle slower and quieter, can be called a sonatina. Here is an inside look at how one was composed, step by step. Like the MapLabs in Mapping the Music Universe, this guided tour is in the form of a recipe you can follow to write your own sonata.

    Choose a model

    I started formal composition study in 1968, first with composer Eugene Kurtz, based in Paris but filling in that semester at the University of Michigan. A proponent of modern French music, his compositional models included Debussy and Ravel. He assigned me to immerse myself in deep study of their music, in particular Ravel’s 1905 work, SONATINE.

    I met Beth, a flower lover, in Interlochen in 1975. She had been a promising flute student at Aspen, but was then embarking on a journalism career specializing in horticultural writing.

    The Ravel study came back to me later in my career, as I began to adopt its lush, bright harmonic language and a gentle French Impressionist quality. My SONATINE for Beth (2025) brings together the Ravel study, the flute sound, and (in my video version on YouTube) even the flower motif.

    Start with a generating idea

    The impelling theme can be a melody, a rhythmic pattern, a special kind of chord, or a non-musical image such as a painting or poem.

    Sonatine for Beth is spun entirely from a single harmonic progression, seven chords, each stacking one Perfect 5th interval above another.

    The Perfect 5ths in the two hands are separated by one or more octaves, highlighting this strong interval as a characteristic sound for the piece.

    Now some basic tools to develop and vary a generating theme.

    Transposition

    The whole five-chord progression can be transposed. The harmony is heard plainly in a middle section as ten block chords. The last five chords are a transposition of the first five, up three semitones, starting on the bass pitch Eb instead of C.

    Sequence is successive statements of a pattern transposed by a consistent interval.

    Here is another transposition of the whole ten-chord sequence:

    This harmonic material generates melodic lines and many arpeggio patterns, in successive variations of changing register, intensity, and rhythmic pace. Let’s go through the compositional unfolding of this thematic idea.

    Extract a melody and bass

    Since the starting idea is simply a chord progression, we can select individual tones from each chord for a melody. The most obvious selection is the highest pitch of each chord, even if it is not in a soprano singing range.

    At letter A the melody is given a slightly independent rhythm to help set it off from the chords, in addition to the different sound color of the flute. Also, the lower chord tones are articulated one at a time, making a bass line also rhythmically distinct, faster than the half-note chords. (The Bb in the bass line’s first bar is a passing tone, not a chord tone.)

    Add arpeggios

    An arpeggio is any pattern articulating chord tones one at a time. Usually in order lowest to highest or back down, the individual chord tones can be articulated in any order. At letter A shown above, we already saw the left hand articulate its chord tones one at a time. In the introduction, the right hand is partially broken up into arpeggios.

    In the next variation below, right-hand treble chord tones and still some bass chord tones are arpeggiated. Now all three lines (flute, right hand, left hand) have distinct rhythmic patterns, though congruent with each other in the established 4 4 meter.

    Next, the flute arpeggiates chord tones in eighth-notes, with the left hand simplified to quarter-notes of two pitches from each chord.

    Rhythmic variations

    Variation D simplifies the flute melody to just two half-note chord tones per bar.

    The two hands reunite rhythmically to place some chords after the downbeat and between flute notes.

    Counterpoint

    The original term, contrapunctus, translates “point against point” — two or more independent lines interacting in time.

    A more active rhythm for the flute line leaves time gaps that can be filled in by another line. The right hand selects chord tones to make a similarly playful rhythmic line that mostly alternates and sometimes lines up with the flute rhythm.

    The harmonic progression is still there but just hinted at by the chord tones selected for these interacting lines.

    Variation F continues this back-and-forth rhythmic interaction of the flute and piano right hand, now adding back in the left-hand chord-tone pairs with a simple rhythm for a supporting third contrapuntal line.

    Texture

    Having reached a complex level of three rhythmically interacting, independent contrapuntal lines, a nice contrast will be to simplify. Variation G reduces to a lower-register flute line and only a much simplified skeletal supporting line above it in the right hand.

    Then the texture begins to revert rhythmically to a simpler alignment of all chord tones.

    This paves the way back to a simple piano texture revealing the fundamental thematic chord progression.

    Shape a time form

    What is the plan for the whole? How will the various versions of the generating idea unfold in the larger time span of the whole piece?

    The quiet letter I variation is the apex of an arch form . . .

    • starting with simple
    • building up more rhythmic and textural complexity
    • reaching a stable plateau
    • subsiding back to what started it all.

    That sets up a recapitulation of the whole process, building up textural complexity again, first with the high two-part counterpoint:

    Then with three voices:

    Flute line “calming down”:

    Coda

    A good essay ends with a conclusion or a summary restatement of the thesis.

    Our musical coda summarizes with a last return to the beginning. The chords are back to their very low and very high registers. The flute makes a small melodic arch, ascending to the pitch B, then climbing down gently to its lowest possible pitch, C.

    Fine

    A final edit and audit are mandatory. In the case of our example, listening revealed that the beginning needed a piano introduction with some rhythmic vitality. Some sections were also reordered to improve the flow. Thus, the piece will not begin with a plain statement of the progression, and there will be a somewhat different order of other events.

    Now listen to the whole 6-minute parade of variations on a single chord progression.

  • 1. Forest Paths

    Howell, 1967 —

    In 1967 I was already earnestly composing for piano, trombone (my own instrument), even for orchestra. Living beside the Shiawassee River’s glacial-moraine beginnings in rural Livingston County Michigan, my best pastime was hiking along the creek’s forested banks. I was already going to Ann Arbor for trombone lessons and Youth Symphony rehearsals.

    In fall 1967, after my 18th birthday, I moved to Ann Arbor and enrolled at the University of Michigan. Though not yet a music major, I began playing bass trombone in the university orchestras. For 8 years, Ann Arbor with beautiful Huron River running through it was my forested Michigan home.

    The year before I was born, John Cage wrote a gentle, beautiful piece for piano, one simple enough that my 1967 piano skill could have handled. It also expressed my own urge to amble along freely improvised paths of musical exploration.

    John Cage – Dream (1948)– Damian Alejandro, piano

    At age 17, I never dreamed that I would meet John 24 years later (in Denton Texas of all places), a gentle soul who loved mushrooms. And I had yet to discover this piece or any John Cage music. But I was also writing simple and (I thought) beautiful piano music.

    Two pieces for piano that expressed my attitude of wonder while wandering in the woods were updated fifty years later with my 2023 editing skills. “Mystic Breeze” and “Light” were my 12th and 18th completed TC compositions. “Riverbank” is from a 1967 sketch of an “interlude” for trombone and piano.

    They make a nice set of three, revealing that before formal study my compositional explorations were already discovering more exotic harmonies and rhapsodic forms resembling Debussy’s Impressionism and even the post-tonal possibilities of 12-tone rows.

    ARBOR SKETCHES

    Clark 1967 (TC-12/18)

    • 1. Breeze
    • 2. Riverbank
    • 3. Light

    Brno

    Twenty-four years later in 1991, I was invited to perform at the 26th Brno International Music Festival. It would lead me on a path of musical and cultural exploration that has filled my life since with beauty. (I had also married a beautiful Czech-American woman in 1976.)

    Brno is the capital of the Moravian province of what was then Czechoslovakia. Brno was the home city of the great 20th-century Moravian composer, Leoš Janáček. After visiting his home and school in Brno and his summer home in Hukvaldy, I began to study his music.

    Two things captured my interest. Like Bartok, he embraced and collected the folk music of his homeland. He also exalted in nature, walking around the wooded hills of Hukvaldy’s castle ruins, and collected his own transcriptions of bird calls.

    While there on the first visit, I was commissioned to compose a ballet for the local dance theatre company. Inspired by Janáček’s birds, I began to write my own music for what would become the ballet, PTACí (“Birds”).

    Lesní cesty

    In a music store in Brno, I also discovered his marvelous 1911 set of piano pieces, the title of which translates “On the Overgrown Path.” On a return trip, I was able to visit the Moravian Music Archives in Brno to examine his original hand-written manuscript of the pieces.

    Excerpted from Series I:

    • No. 5, They Chattered Like Swallows
    • No. 6, Words Fail!
    • No. 7, Good Night!
    • No. 8, Unutterable Anguish
    • No. 9, In Tears
    • No. 10, The Barn Owl Has Not Flown Away!

    Po zarostlém chodníčku – – – Josef Páleníček, piano