MusicianCV · TREqual-tempered fifth
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Tuning and pitch systems
Equal-tempered fifth · 2^(7/12) → 700 ¢ ↔ 701.955 ¢
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. · 2^(7/12) / 700 ¢ ↔ 701.955 ¢
Read the ratio alongside the worked calculation.2^(7/12) 700 ¢ ↔ 701.955 ¢
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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
Reference tuning versus transpositionReferences
Frequency and Pitch of Sound
Subject-expert review pending.