Musical note frequency calculator
Every equal-tempered frequency is the reference times a power of the twelfth root of two.
Hz
Frequency
523.251 13Hz
- Ratio to the reference
- 1.189 207 12
- Interval
- 300.00 cents
- Interval in octaves
- 0.250 00
- Wavelength
- 0.655 52
- Period
- 1.911 13 ms
- MIDI note number
- 72.000
Show the working
- Reference pitch = 440
- Semitones from the reference = 3
- Plus cents = 0
- Speed of sound = 343
- Frequency = 440 * 2^(3/12) * 2^(0/1200) = 523.251
- Ratio to the reference = 440 > 0 ? 523.251/440 : 0 = 1.189 21
- Interval = 3 * 100 + 0 = 300
- Wavelength = 523.251 > 0 ? 343 / 523.251 : 0 = 0.655 517
- Period = 523.251 > 0 ? 1000/523.251 : 0 = 1.911 13
- MIDI note number = 69 + 3 + 0/100 = 72
- Interval in octaves = 300 / 1200 = 0.25
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- f = reference x 2^(semitones/12 + cents/1200)