MusicianCV · TR

Pure fourth

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Tuning and pitch systems

Pure fourth · 4:3 → 330 × 4/3 = 440 Hz

Fix a reference frequency before comparing tunings. An octave doubles frequency. Convert a frequency ratio to cents with 1200 × log₂(ratio).

Example

Read the ratio alongside the worked calculation. · 4:3 / 330 × 4/3 = 440 Hz

Read the ratio alongside the worked calculation.

4:3 330 × 4/3 = 440 Hz

Try it

How does a frequency difference differ from a ratio?

AnswerMoving the same interval to another pitch preserves the ratio. The difference in hertz can change.

Related topics

Twelve-tone equal temperament

References

Frequency and Pitch of Sound

Subject-expert review pending.