A4 = 440 Hz is the international standard reference for tuning, agreed at a conference in 1939 and published as ISO 16. Almost every tuner, keyboard, synthesizer and recording is set to it, which is why “A440” is the default in every tuner’s settings.
Every other note is derived from it: in equal temperament each semitone multiplies the frequency by the twelfth root of two, so the note an octave below is 220 Hz and the one an octave above is 880 Hz.
Which note 440 Hz is at other reference pitches
“In tune” depends on what A4 is tuned to, so the same frequency is a slightly different distance from the nearest note in each tuning.
| Reference | Nearest note | That note | 440 Hz is |
|---|---|---|---|
| A4 = 440 Hz · Standard (ISO 16) | A4 | 440.00 Hz | exactly on it |
| A4 = 432 Hz · “Verdi” pitch | A4 | 432.00 Hz | +31.8¢ |
| A4 = 442 Hz · Orchestral | A4 | 442.00 Hz | −7.9¢ |
| A4 = 415 Hz · Baroque pitch | B♭4 | 439.68 Hz | +1.3¢ |
Octaves of 440 Hz
Doubling a frequency raises it an octave and halving lowers it one, so these all have the same note name.
Harmonics of 440 Hz
A real instrument playing 440 Hz also sounds whole-number multiples of it. The first eight, and the notes they fall nearest:
| Harmonic | Frequency | Nearest note | Off by |
|---|---|---|---|
| 1 | 440.00 Hz | A4 | 0¢ |
| 2 | 880.00 Hz | A5 | 0¢ |
| 3 | 1320.0 Hz | E6 | +2.0¢ |
| 4 | 1760.0 Hz | A6 | 0¢ |
| 5 | 2200.0 Hz | C♯7 | −13.7¢ |
| 6 | 2640.0 Hz | E7 | +2.0¢ |
| 7 | 3080.0 Hz | G7 | −31.2¢ |
| 8 | 3520.0 Hz | A7 | 0¢ |
Period and wavelength
One cycle of 440 Hz lasts 2.273 milliseconds; in air at 20 °C, where sound travels at about 343 metres a second, one wavelength is 78.0 centimetres.