MusicianCV · TRPythagorean major third
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Tuning and pitch systems
Pythagorean major third · 81:64 → 256 × 81/64 = 324 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. · 81:64 / 256 × 81/64 = 324 Hz
Read the ratio alongside the worked calculation.81:64 256 × 81/64 = 324 Hz
Try it
How does a frequency difference differ from a ratio?
Answer
Moving the same interval to another pitch preserves the ratio. The difference in hertz can change.Related topics
Reading small pitch differences in centsReferences
Frequency and Pitch of Sound
Subject-expert review pending.