Music Theory Exercises with Worked Answers

Music theory exercises are most useful when you can explain an answer and hear what it means. Naming a chord on paper is one task; finding its notes at a piano and noticing the change when one note moves is another. You can practise both without turning a short session into a long examination.

This sequence from Chord Compass Academy gives you original questions, worked answers and small listening tasks. Start with the first unfamiliar topic. A notebook and a keyboard are helpful, but you can complete the written questions without an instrument. Cover each answer before attempting its exercise.

Prepare your practice

Choose one section and write the date above your answers. Work slowly enough to show your reasoning. For pitch questions, write the letter names before using the piano. For rhythm questions, write the time signature and the unit you are counting. These habits make it easier to locate an error than simply marking an answer wrong.

Give yourself three kinds of response: correct and explained, correct by guessing, or not yet understood. Return to the second category as well as the third. Recognising an answer from yesterday does not necessarily mean you could construct it from a different starting note today.

Name notes and count semitones

The musical letter names repeat A, B, C, D, E, F, G. On a standard piano, neighbouring keys, including black keys, are a semitone apart. Count the movements between keys rather than counting the starting key as one. E to F and B to C are semitones even though both notes use white keys.

Exercise 1: separate letters from distances

1. Continue upwards for four letter names after F.
2. How many semitones are there from E to the F immediately above?
3. How many semitones are there from C to the D immediately above?
4. Which key lies one semitone above G? Give its sharp spelling.
5. Which key lies one semitone below D? Give its flat spelling.

Answers: G, A, B, C; one; two; G sharp; D flat. For C to D, the two movements are C to C sharp and C sharp to D. The sharp and flat answers describe the requested direction and spelling, rather than just the appearance of a black key.

Now choose two different starting notes and invent equivalent questions. Include a white-key semitone in your set. If you automatically assume that every pair of neighbouring white keys is a tone apart, the E–F and B–C examples will reveal that misunderstanding.

Check rhythm totals

For this exercise, use 4/4 and count crotchet beats. A crotchet takes one beat, a minim two, a quaver half and a semibreve four. A dot adds half the original value, so a dotted minim takes three beats here. Rests occupy time too; silence does not pause the count.

Exercise 2: finish a bar of 4/4

Find the missing duration in each line. Each line represents one full bar, and all notes occur one after another.

1. One minim, one crotchet, then a missing rest.
2. One dotted minim, then a missing note.
3. Two quavers, one minim, then a missing note.
4. One crotchet rest, two quavers, then a missing note.

Answers: a crotchet rest; a crotchet; a crotchet; a minim. The totals are respectively 2 + 1 + 1, 3 + 1, ½ + ½ + 2 + 1, and 1 + ½ + ½ + 2. Other combinations could fill the same amount of time, but each question asks for one missing note or rest.

Tap a steady four-beat pulse and clap the beginnings of the notes in your completed bars. Keep counting through the rests. If the arithmetic works but your clapping loses the pulse, practise that bar separately. Our introduction to reading piano sheet music connects written durations with the staff and keyboard.

Build major scales

A major scale follows the ascending step pattern tone, tone, semitone, tone, tone, tone, semitone. Write consecutive letter names first, then add the sharps or flats needed to produce that pattern. This keeps each letter in its proper place instead of choosing an enharmonic spelling only because it sounds right at the piano.

Exercise 3: supply the missing accidentals

1. G, A, B, C, D, E, F, G: which note needs changing for G major?
2. F, G, A, B, C, D, E, F: which note needs changing for F major?
3. D, E, F, G, A, B, C, D: which two notes need changing for D major?

Answers: G major needs F sharp; F major needs B flat; D major needs F sharp and C sharp. Check the gaps one by one. In F major, A to B flat supplies the first semitone, and E to F supplies the last.

Play one completed scale slowly if you have a keyboard. Then stop looking at your written answer and say which notes were altered. Do not infer the key of an unfamiliar piece solely from its first note: identifying a tonal centre requires more musical context than this scale-building task supplies.

Name intervals accurately

An interval name combines a number and a quality. Count letter names inclusively for the number, then check the distance for the quality. C to E is a third because C, D and E are three letter positions. C to E flat is also a third, with a different quality. The Open University's explanation of intervals shows how these two parts work together.

Exercise 4: name these ascending intervals

Use the nearest occurrence of the second note above the first: C to E; C to E flat; D to A; E to F; G to B. Write the number before checking the semitones.

Answers: major third, minor third, perfect fifth, minor second and major third. Their semitone distances are four, three, seven, one and four. D to A is a fifth because D, E, F, G and A span five letter positions; the seven-semitone distance makes this particular fifth perfect.

Play C followed by E, then C followed by E flat. Listen to the change while keeping the lower note fixed. This is a comparison task, so there is no need to identify an isolated note without a reference. Repeat using G–B and G–B flat to check whether you can construct the same two interval qualities from another starting note.

Build and change triads

A major triad contains a root, a major third above it and a perfect fifth above it. A minor triad has a minor third in place of the major third. Keep measuring from the root when using this description. Open Music Theory's treatment of triads distinguishes these structures and their other common qualities.

Exercise 5: construct the notes

1. Write a C major triad in root position.
2. Change one note to turn it into C minor.
3. Write a D minor triad in root position.
4. Change one note to turn it into D major.
5. Reorder C, E and G so E is the lowest note. Has the chord become minor?

Answers: C–E–G; C–E flat–G; D–F–A; D–F sharp–A; E–G–C, which remains C major. Moving the same chord tones into another order changes the inversion, not the major or minor quality. In the last answer, play C above G so that E really is the lowest sounding note.

Play the major and minor versions gently, either together or as separate notes. Identify the note you changed before repeating the pair. For a keyboard-based explanation, use our lesson on playing chords on piano.

Use your answers in music

Choose a short passage from music you are already learning. Find one familiar interval, one full bar you can count, and one chord or broken-chord pattern you can name. It is fine if the passage does not contain all three. The purpose is to connect a small amount of theory with an actual musical decision.

Keep an error note that names the cause: counted the starting key as a semitone, forgot the dot, omitted an accidental, or confused a chord's bass with its root. Next time, make one fresh question that tests that cause. A shorter practice set with understood corrections is more useful than repeatedly copying the answer sheet.

Frequently asked questions

Which music theory exercises should a beginner try first?

Begin with letter names, small pitch distances and simple rhythm totals. Move to scales, intervals and triads when you can explain the earlier answers. You can work on rhythm and pitch in separate sessions.

Do I need a piano to practise theory?

No. The written questions can be answered in a notebook. A keyboard lets you check pitches and hear the results, while clapping and counting make the rhythm exercises usable without one.

Should I memorise the answers?

Learn the underlying patterns, then change the starting note or rhythm. Remembering that D major uses F sharp and C sharp is useful; being able to explain those notes from the major-scale pattern is useful too.

How much should I practise at once?

Choose an amount that leaves time to check and correct your work. One section can be enough. Finish by explaining one answer without looking at the solution, rather than aiming for a fixed number of pages.

What should I do when I keep making the same mistake?

Reduce the task to the step that causes trouble. For an interval, separate letter counting from semitone counting. For a rhythm, write the durations as beat values before attempting to clap the whole bar.

Choose your next step

For a connected explanation of the ideas behind these exercises, explore Music Theory, Decoded, Edition 2 and try the two-chapter preview.