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Repetition and variation

In the first eight bars of a French folk tune from 1761, only four bars contain material that has not been heard before.

Listeners need something to hold on to. If every bar of a song brings new notes, the ear cannot predict anything and the tune slips away. If every bar is the same, it gets dull after a few seconds. Songwriters work between those two extremes: they present a short idea, repeat it so it sticks, and then change it so the song keeps moving. This unit shows three tools for doing that: exact repetition, variation and sequence.

The motif

The smallest idea that is still recognisable is called a motif (or motive): a few notes with a clear rhythm, often just one bar long. A motif is like a word that the song keeps using. In the song maker, a motif is the pattern of cells in one bar. The panel under the grid compares every bar with the bars before it and reports what it finds.

Exact repetition

The simplest tool is to play the same bar or the same two bars again. Repetition helps people learn a tune after one hearing, and it is why children's songs and chants are so easy to join in. In the grid, the button that copies bars 1 to 4 into bars 5 to 8 makes a whole half of the song repeat at once. On its own, that sounds unfinished, which is a problem the question and answer unit solves.

Variation

A variation keeps part of an idea and changes the rest. You can keep the rhythm and change the notes, keep the notes and change the rhythm, or keep the first half of the bar and change the ending. The listener still hears the link to the original, so the new bar sounds both familiar and fresh. A useful rule of thumb is to change one thing at a time. If you change notes and rhythm together, the link usually breaks.

Sequence

A sequence repeats a pattern at a higher or lower pitch. The rhythm and the shape stay the same, but everything moves up or down by the same number of scale steps. Sequences let a melody travel somewhere while still sounding organised. Because the grid uses only scale notes, moving a pattern up one row keeps it in the key automatically. The panel marks a bar as a sequence when it has the same rhythm as an earlier bar and every note has moved by the same number of rows.

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1 is a motif, 2 is an exact repeat, 3 is a sequence: the same pattern one scale step lower.
BackgroundThe tune in the grid was first printed in France in 1761 as "Ah! vous dirai-je, maman". English speakers know it from children's songs set to the same melody. Around 1781, in Vienna, Mozart wrote twelve piano variations on it, catalogued as K. 265. For a while scholars dated the piece to his 1778 stay in Paris, but a study of the manuscript by Wolfgang Plath pointed to 1781 or 1782. The variations were published in 1785 and have been used to teach piano ever since. Each one keeps the tune's outline while changing rhythm, accompaniment or mode.

Try it

Press Play and read the Repeats line in the panel. Bars 5 and 6 are bars 3 and 4 moved one row up, a sequence, and bars 7 and 8 repeat bars 5 and 6 exactly. Now make your own version: change one note in bar 8 but keep its rhythm, and watch the Repeats line stop showing "bar 8 = bar 6" and report a rhythm match or a sequence instead. Then clear the grid, write one bar, and build eight bars from it using a repeat, one variation and one sequence.

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The first eight bars of the French folk melody of 1761. The Repeats line shows the sequence in bars 5 and 6 and the exact repeat in bars 7 and 8.

On the staff above, the first four notes are bar 3 and the last four are bar 5. Every note in the second group sits one line or space higher, which is exactly what a sequence one step up looks like on paper.

  1. What is a motif?
    • A short recognisable idea, often one bar
    • The last note of a song
    • A chord
  2. Bar 2 has the same notes and rhythm as bar 1. This is...
    • exact repetition
    • a sequence
    • a variation
  3. Bar 3 is bar 1 with every note one step higher. This is...
    • a sequence
    • exact repetition
    • a new motif
  4. You keep the rhythm of a bar and change some notes. This is...
    • a variation
    • exact repetition
    • a rest
  5. Why change only one thing at a time in a variation?
    • So the listener still hears the link
    • So the song gets louder
    • So the key changes
  6. On this grid, why does a sequence stay in key?
    • All rows are notes of the C major scale
    • The tempo stays the same
    • The chords change
  7. In the folk melody, bars 5 and 6 are...
    • bars 3 and 4 one step higher
    • bars 1 and 2 again
    • all new
  8. When was the folk melody in the grid first printed?
    • 1761
    • 1815
    • 1901
  9. Mozart's twelve variations on that tune are now dated to...
    • 1781 or 1782, in Vienna
    • 1761, in Paris
    • 1815, in London
  10. A song where every bar is new usually sounds...
    • hard to remember
    • very catchy
    • shorter
Key points
  • A motif is a short idea, often one bar.
  • Exact repetition makes a tune easy to learn.
  • Variation keeps part of an idea and changes one thing.
  • A sequence repeats a pattern higher or lower by the same number of steps.
Sources for this course (13)
  • Fundamentals of Music Theory, UMass Amherst, Unit 14 Melody: repeated notes, conjunct (stepwise) and disjunct (skip, leap) motion, melodic contour (fundamentalsofmusictheory.umasscreate.net/unit-14)
  • Humanities LibreTexts, Music Appreciation II 1.1 Melody: contour, conjunct and disjunct, range, motive (human.libretexts.org)
  • Open Music Theory (Lavengood, Peterson et al., CC BY-SA)
  • chapters Roman Numerals (uppercase major, lowercase minor, I ii iii IV V vi vii° in major)
  • Introduction to Harmony, Cadences and Phrase Endings (authentic cadence V-I, half cadence ends on V)
  • The Phrase, Archetypes and Unique Forms (period = antecedent ending with a weaker cadence, often a half cadence, and consequent ending with a stronger one; antecedent often four bars)
  • Glossary (sequence model and copy) (viva.pressbooks.pub/openmusictheory)
  • Robert Hutchinson, Music Theory for the 21st-Century Classroom 7.4 Cadences and 11.4 Phrase (most phrases are four bars) (musictheory.pugetsound.edu/mt21c)
  • musictheory.education 2.14 Degrees I, IV and V: tonic, subdominant, dominant
  • Duke University Sonic Dictionary, Melodic Sequence (a motive repeated at a higher or lower pitch)
  • Wikipedia and IMSLP, Twelve Variations on "Ah vous dirai-je, Maman" K. 265/300e (French melody first printed 1761; Mozart, 1781 or 1782, Wolfgang Plath's dating; first published 1785)
  • PLOS ONE 2020, Martin-Castro and Ucar, "Conductors' tempo choices shed light over Beethoven's metronome" (Maelzel patented the metronome in 1815; Beethoven added marks to his first eight symphonies) and Boston Baroque, Martin Pearlman (the marks were added in 1817)
  • All melodies in the lessons are written for this course except the French folk melody of 1761, which is in the public domain. Timing values computed: one beat = 60 / bpm seconds.

Checked: 2026-10-17