MusicianCV · TRSyntonic comma
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Tuning and pitch systems
Syntonic comma · 81:80 → 81/64 ÷ 5/4 = 81/80
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. · 81:80 / 81/64 ÷ 5/4 = 81/80
Read the ratio alongside the worked calculation.81:80 81/64 ÷ 5/4 = 81/80
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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
Twelve-tone equal temperamentReferences
Frequency and Pitch of Sound
Subject-expert review pending.