In 1859 France fixed A4 at 435 Hz by law to stop orchestral pitch from creeping ever higher. The “diapason normal” was widely adopted across Europe and stood until the 440 standard replaced it in the 20th century.
Which note 435 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 | 435 Hz is |
|---|---|---|---|
| A4 = 440 Hz · Standard (ISO 16) | A4 | 440.00 Hz | −19.8¢ |
| A4 = 432 Hz · “Verdi” pitch | A4 | 432.00 Hz | +12.0¢ |
| A4 = 442 Hz · Orchestral | A4 | 442.00 Hz | −27.6¢ |
| A4 = 415 Hz · Baroque pitch | B♭4 | 439.68 Hz | −18.5¢ |
An octave of notes at A4 = 435 Hz
Middle C to the C above, tuned to this reference, beside the same notes at the 440 standard.
| Note | A = 435 | A = 440 |
|---|---|---|
| C4 | 258.65 Hz | 261.63 Hz |
| C♯4 | 274.03 Hz | 277.18 Hz |
| D4 | 290.33 Hz | 293.66 Hz |
| E♭4 | 307.59 Hz | 311.13 Hz |
| E4 | 325.88 Hz | 329.63 Hz |
| F4 | 345.26 Hz | 349.23 Hz |
| F♯4 | 365.79 Hz | 369.99 Hz |
| G4 | 387.54 Hz | 392.00 Hz |
| A♭4 | 410.59 Hz | 415.30 Hz |
| A4 | 435.00 Hz | 440.00 Hz |
| B♭4 | 460.87 Hz | 466.16 Hz |
| B4 | 488.27 Hz | 493.88 Hz |
| C5 | 517.31 Hz | 523.25 Hz |
Octaves of 435 Hz
Doubling a frequency raises it an octave and halving lowers it one, so these all have the same note name and the same offset from it.
Harmonics of 435 Hz
A real instrument playing 435 Hz also sounds whole-number multiples of it. The first eight, and the notes they fall nearest:
| Harmonic | Frequency | Nearest note | Off by |
|---|---|---|---|
| 1 | 435.00 Hz | A4 | −19.8¢ |
| 2 | 870.00 Hz | A5 | −19.8¢ |
| 3 | 1305.0 Hz | E6 | −17.8¢ |
| 4 | 1740.0 Hz | A6 | −19.8¢ |
| 5 | 2175.0 Hz | C♯7 | −33.5¢ |
| 6 | 2610.0 Hz | E7 | −17.8¢ |
| 7 | 3045.0 Hz | F♯7 | +49.0¢ |
| 8 | 3480.0 Hz | A7 | −19.8¢ |
Period and wavelength
One cycle of 435 Hz lasts 2.299 milliseconds; in air at 20 °C, where sound travels at about 343 metres a second, one wavelength is 78.9 centimetres.