MusicianCV · TR

Harmonic seventh

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Tuning and pitch systems

Harmonic seventh · 7:4 → 200 × 7/4 = 350 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. · 7:4 / 200 × 7/4 = 350 Hz

Read the ratio alongside the worked calculation.

7:4 200 × 7/4 = 350 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

Reading small pitch differences in cents

References

Frequency and Pitch of Sound

Subject-expert review pending.