Pitch Set Calculator
Calculate exact note names and frequencies (Hz) for any custom pitch set in 12-tone equal temperament.
What Is a Pitch Set?
A pitch set is simply a collection of notes represented by interval distances from a root. If your root is A4 and your intervals are 0, 4, 7, you get the notes A, C#, and E — a classic major triad. The point of a pitch set calculator is to turn abstract interval ideas into concrete note names and real frequencies you can use in composition, arranging, synthesis, tuning, and ear training.
How This Calculator Works
The calculator uses 12-tone equal temperament and a reference A4 frequency (usually 440 Hz). From there, it computes every pitch in your set with the standard formula:
frequency = A4 × 2(midi - 69)/12
Each interval is treated as a semitone offset from your root pitch. This means you can build:
- Chords (triads, sevenths, extended voicings)
- Scales (major, minor, modes, pentatonic)
- Atonal sets and synthetic collections
- Layered stacks for sound design
How to Use the Pitch Set Calculator
1) Pick a root note and octave
Choose your tonal center first. For example, C3 for low synth pads, A4 for tuning context, or F#2 for bass programming.
2) Confirm the reference pitch
Keep A4 at 440 Hz for standard tuning, or enter 432, 442, or another value to match your project or instrument calibration.
3) Enter intervals
Type your semitone steps from the root. A few quick ideas:
- Major triad: 0, 4, 7
- Minor triad: 0, 3, 7
- Dominant 7: 0, 4, 7, 10
- Minor 9 flavor: 0, 3, 7, 10, 14
4) Apply transposition if needed
Transposition shifts the full set up or down in semitones without changing interval relationships. This is useful for key changes and quick arrangement experiments.
5) Read the results table
You get interval, resulting MIDI number, note name, frequency, and ratio relative to the root. That makes it easy to map directly into a DAW, notation software, or modular setup.
Why This Is Useful in Real Work
Composition and arranging
When writing for multiple instruments, frequency-level precision helps avoid clashes and make voicings more intentional.
Sound design
Synth patches with tuned oscillators often need exact values. Instead of guessing, you can calculate Hz quickly and dial in cleaner harmonic relationships.
Mix decisions
Knowing the pitch-frequency relationship helps with resonant EQ moves, sidechain targeting, and creative filtering in dense mixes.
Education and ear training
Interval labels become much easier to internalize when you see note name, semitone distance, and frequency together.
Common Interval Reference (Quick Cheat Sheet)
- 0 = Unison
- 1 = Minor second
- 2 = Major second
- 3 = Minor third
- 4 = Major third
- 5 = Perfect fourth
- 7 = Perfect fifth
- 10 = Minor seventh
- 11 = Major seventh
- 12 = Octave
Final Thoughts
A good pitch set calculator bridges theory and practice. You can start with a conceptual idea, calculate exact pitch targets, and move straight into performance or production with confidence. Use presets for speed, customize intervals for originality, and keep transposition in your workflow for instant musical flexibility.