Use this music calculation for a precise timing, pitch, tuning, MIDI, dynamics, or audio-engineering conversion under a stated tempo and reference convention.

Rms Amplitude

Required number input.

Peak amplitude of an ideal sine wave from its RMS amplitude (sqrt(2) factor). The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Sine Peak Amplitude

The resulting sine peak amplitude returned as a number.

• Results depend on tuning reference, temperament, note naming, tempo map, meter, MIDI implementation, sample rate, level reference, weighting, and artistic performance. Equal temperament and ideal timing are not universal musical requirements.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Keep the reference pitch and timing grid explicit, verify against the target instrument or DAW, and use listening tests for perceptual decisions.

• Bit Depth Dynamic Range Db

  Ideal full-scale sine-wave quantization signal-to-noise ratio in dB, approximately 6.02N+1.76 for N-bit PCM.

• Crest Factor Peak To Rms Db

  Crest factor in dB from positive peak and RMS amplitudes.

• Db Gain From Amplitude Ratio

  Amplitude gain in decibels from a positive output/input amplitude ratio.