MusicianCV · TR31 equal divisions
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Tuning and pitch systems
31 equal divisions · 2^(1/31) → 1200 ¢ ÷ 31 ≈ 38.71 ¢
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^(1/31) / 1200 ¢ ÷ 31 ≈ 38.71 ¢
Read the ratio alongside the worked calculation.2^(1/31) 1200 ¢ ÷ 31 ≈ 38.71 ¢
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
Twelve-tone equal temperamentReferences
Frequency and Pitch of Sound
Subject-expert review pending.