// multi-utility computation suite · offline · instant · precise
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│ [c] calcalyst_ │
│ computation suite │
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sci.musical-interval-frequency Calculator
Calculates the frequency ratio for musical intervals in equal temperament (semitone = 2^(1/12) ≈ 1.0595) and just intonation. Perfect fifth in equal temperament: 2^(7/12) = 1.4983 vs just ratio 3/2 = 1.5000 (1.96 cents flat) — this 2-cent discrepancy is barely audible and allows transposing to all keys.
Inputs
F Base Hz
Cycles per second (Hz). Audible sound: 20 Hz – 20 kHz. Make sure units match what the formula expects.
Semitones
Reference formula or conversion factor shown for context.
Octaves
Reference formula or conversion factor shown for context.
Results
resulting frequency (Hz)
The final computed result based on the given inputs.
frequency ratio
The proportional relationship between two quantities.
interval in cents
Sample size or count used in the calculation.
interval name
Sample size or count used in the calculation.
f₁ = f₀ × 2^(n/12)
Sample size or count used in the calculation.
just intonation ratio
The proportional relationship between two quantities.