Understanding MIDI Notes and Frequency
MIDI gives each musical pitch an integer number. Modern MIDI commonly uses values from zero through 127. The number does not contain audio itself. Instead, it identifies a pitch instruction for synthesizers, samplers, instruments, and music software. Under twelve-tone equal temperament, every semitone changes frequency by the constant ratio 2 raised to one twelfth. This makes octaves especially simple because moving twelve MIDI notes doubles frequency.
Reference Tuning and A4
The standard reference is MIDI note 69, named A4. Its usual frequency is 440 hertz. Some orchestras, historical performances, and creative projects use another reference. This calculator therefore allows 432 hertz, 442 hertz, or any positive custom value. A cents offset provides finer tuning. One hundred cents equals one semitone, while twelve hundred cents equals one octave.
Physics Behind the Pitch
Frequency measures cycles per second. A 440 hertz tone completes 440 cycles each second. Period describes the time for one cycle, so it equals one divided by frequency. Wavelength connects frequency with wave speed. In air near ordinary room conditions, a practical sound speed is about 343 meters per second. Dividing that speed by frequency gives wavelength. Changing temperature or medium changes wave speed, so the calculator includes an editable value.
Practical Uses
This tool helps musicians verify tuning, developers test MIDI systems, and students connect music with wave physics. It also supports reverse conversion from frequency to the nearest MIDI note. The cents difference shows whether an entered frequency is sharp or flat relative to that note. Nearby-note tables make octave and semitone relationships easier to compare. CSV and PDF exports can preserve results for lessons, lab notes, production documentation, or instrument design work.
Common MIDI Frequency Examples
| MIDI note | Pitch | Frequency at A4 = 440 Hz | Typical relationship |
|---|---|---|---|
| 60 | C4 | 261.626 Hz | Middle C |
| 69 | A4 | 440.000 Hz | Standard tuning reference |
| 72 | C5 | 523.251 Hz | One octave above C4 |
| 81 | A5 | 880.000 Hz | One octave above A4 |
| 57 | A3 | 220.000 Hz | One octave below A4 |