MusicianCV · TRQuarter tone
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Tuning and pitch systems
Quarter tone · 2^(1/24) → 1200 ¢ ÷ 24 = 50 ¢
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^(1/24) / 1200 ¢ ÷ 24 = 50 ¢
Read the ratio alongside the worked calculation.2^(1/24) 1200 ¢ ÷ 24 = 50 ¢
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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
Reading small pitch differences in centsReferences
Frequency and Pitch of Sound
Subject-expert review pending.