What Is Counterpoint — and Why Does Gradus Start There?

Counterpoint is the art of writing two or more independent melodic lines that work together. Each line is shaped as a melody in its own right; together they form a coherent harmonic whole. Johann Joseph Fux codified the teaching method of species counterpoint in 1725 in Gradus ad Parnassum, and every major composer from Haydn to Hindemith studied it. Gradus starts with counterpoint not because it is old, but because it is the most direct way to train the ear to hear voice independence, voice-leading logic, and the grammar of motion between voices.

> The short answer: Counterpoint is the art of combining independent melodic lines. Species counterpoint, Fux's 1725 method, teaches this in five graded stages — from note-against-note (first species) to free counterpoint (fifth). Every major composer since Bach learned this way. Gradus begins with counterpoint because training the ear to hear two voices at once is the foundation of every later skill — harmony, part-writing, fugue, orchestration.

What is counterpoint in music?

Counterpoint is the musical discipline of combining two or more melodic lines so that each is interesting on its own and they work together harmonically. The word comes from the Latin punctus contra punctum — "note against note." In its simplest form, counterpoint is two melodies played simultaneously, each independent enough to be sung or played on its own, yet coordinated so that their combination produces coherent harmony.

This is distinct from homophony, in which one line is the melody and the others are accompaniment. Counterpoint thinks horizontally first: each voice is a line, with its own shape, direction, and phrase structure. The harmony emerges from the combination.

Bach's fugues are perhaps the most famous example. A fugue subject is stated alone, then answered in another voice, then combined with itself and new material as each voice retains its independence. At any moment, a listener could track any single voice from beginning to end and hear a complete melodic argument.

What is species counterpoint?

Species counterpoint is the graded teaching method Fux laid out in Gradus ad Parnassum (1725). It isolates the problems of counterpoint into five stages, each introducing a new variable while holding the others constant.

First species — note against note. The student adds one whole note against each whole note of a given melody (the cantus firmus). Only consonances are allowed. The only decisions are interval choice and direction.

Second species — two notes against one. The student adds two half notes per whole note of the cantus firmus. Passing dissonances on weak beats are now permitted. The student must shape a line that moves twice as fast while still forming consonances on strong beats.

Third species — four notes against one. Four quarter notes per whole note. More rhythmic motion, more opportunities for passing tones, neighbor tones, and expressive shape.

Fourth species — syncopation and suspension. Tied half notes produce suspensions that must resolve downward. This is where the student learns the single most important expressive device in tonal music: preparation, suspension, resolution.

Fifth species — free counterpoint. All four previous species combined at the student's discretion. This is where judgment is tested: when to move in half notes, when in quarters, when to suspend, when to rest.

Each species is mastered before moving to the next. A student who rushes through loses the pedagogical point — each stage isolates one skill, and only by working that skill alone does the ear learn it.

Why learn counterpoint?

Because it is the fastest and most reliable way to train the composer's ear to do what every tonal or modal music requires: hear multiple lines at once and manage their interaction.

Three specific skills emerge from counterpoint study. First, voice independence — the ability to write lines that each have their own shape rather than collapsing into parallel motion or chord-tone filler. Second, voice-leading — the smooth connection of one moment to the next, avoiding jarring leaps and parallel perfect intervals. Third, the grammar of motion — the sense that certain intervals pull toward others (the leading tone toward the tonic, the seventh toward resolution) and that managing these pulls is the engine of tonal music.

These skills transfer. A composer who has worked through species counterpoint writes better harmony, because they hear the voices inside a chord rather than treating it as a vertical stack. They write better melodies. They orchestrate better, because they understand how to keep independent parts legible in texture. They write better fugues, canons, and imitative passages — because that is literally what counterpoint is.

What is the historical lineage of species counterpoint?

Fux published Gradus ad Parnassum in 1725. The lineage from that book through the next three centuries of composition teaching is unbroken.

Haydn learned from it; his counterpoint training is documented in surviving exercise books. Mozart taught from it — his student Thomas Attwood's exercise books survive and show Mozart writing corrections in his own hand against a Fuxian method. Beethoven studied it under Albrechtsberger in Vienna. Schubert, Mendelssohn, Schumann, Brahms — all trained in species counterpoint. Schoenberg wrote his own counterpoint textbook and considered it foundational even for twelve-tone writing. Nadia Boulanger taught it to an entire generation of American composers including Copland, Piston, Harris, and Carter.

There is no major composer in the Western tradition between 1725 and 1960 who did not study species counterpoint in some form.

Why start a composition curriculum with counterpoint rather than chords?

Most modern music instruction starts with chords — major and minor triads, seventh chords, chord progressions. This is intuitive but pedagogically weak for anyone trying to write music rather than play it. A student who begins with chord progressions tends to hear music vertically forever after: a series of stacked sonorities, one after another, with a melody floating on top.

The counterpoint-first student hears music horizontally. They perceive each voice as a line. When they later learn harmony, they recognize it for what it really is: the byproduct of multiple lines moving together. A chord is not a fundamental object — it is what you see when several voices happen to sound at once.

This horizontal hearing is the foundation of every subsequent skill. It is why classical training begins with counterpoint and only later introduces harmony as a separate topic. It is also why students trained only in chord-progression thinking often struggle with part-writing, orchestration, and fugue: the horizontal apparatus was never built.

How does Gradus implement counterpoint?

Stage II of the Gradus curriculum is devoted to the full Fux sequence. The student writes against Mozart-Attwood cantus firmi — the same melodies Mozart gave his student — in each of the five species, with the Counterpoint Workshop providing real-time feedback on species rules: consonance, parallel motion, suspension preparation and resolution, and more. Mozart's own corrections, preserved in the Attwood manuscripts, appear as reference solutions.

This is the method that trained Mozart, Beethoven, and Brahms. It is available now to anyone willing to do the work. Begin Your Journey.