Music Math Center
Tempo, rhythm, note frequencies, recording timing and practice planning. 20 tools with purposes, formulas and worked examples.
Simple mode uses starting defaults for extra scenario controls. Advanced exposes those controls where available. Change an entry, then press Calculate.
Complete truth table
Formula, calculation steps & example
All 20 tools: purposes and formulas
- Seconds per beat — Use the labeled measurements to calculate seconds per beat.
A ÷ B (A, B, C refer to the labeled entries)
- Beats in a duration — Use the labeled measurements to calculate beats in a duration.
A × B (A, B, C refer to the labeled entries)
- Song time from beat count — Use the labeled measurements to calculate song time from beat count.
A ÷ B (A, B, C refer to the labeled entries)
- Total beats in bars — Use the labeled measurements to calculate total beats in bars.
A × B (A, B, C refer to the labeled entries)
- Bar duration — Use the labeled measurements to calculate bar duration.
A × B (A, B, C refer to the labeled entries)
- Fractional-note duration — Use the labeled measurements to calculate fractional-note duration.
A × B (A, B, C refer to the labeled entries)
- Dotted-note duration — Use the labeled measurements to calculate dotted-note duration.
A × B (A, B, C refer to the labeled entries)
- Triplet-note duration — Use the labeled measurements to calculate triplet-note duration.
A × B (A, B, C refer to the labeled entries)
- Tempo-synced quarter-note delay — Use the labeled measurements to calculate tempo-synced quarter-note delay.
A ÷ B (A, B, C refer to the labeled entries)
- Frequency interval ratio — Use the labeled measurements to calculate frequency interval ratio.
A ÷ B (A, B, C refer to the labeled entries)
- Frequency one octave higher — Use the labeled measurements to calculate frequency one octave higher.
A × B (A, B, C refer to the labeled entries)
- Frequency one octave lower — Use the labeled measurements to calculate frequency one octave lower.
A ÷ B (A, B, C refer to the labeled entries)
- Oscillation period — Use the labeled measurements to calculate oscillation period.
A ÷ B (A, B, C refer to the labeled entries)
- Sound cycles during duration — Use the labeled measurements to calculate sound cycles during duration.
A × B (A, B, C refer to the labeled entries)
- Set list total — Use the labeled measurements to calculate set list total.
A + B + … (A, B, C refer to the labeled entries)
- Break time total — Use the labeled measurements to calculate break time total.
A × B (A, B, C refer to the labeled entries)
- Raw audio bits per second — Use the labeled measurements to calculate raw audio bits per second.
A × B × C (A, B, C refer to the labeled entries)
- Samples in an audio duration — Use the labeled measurements to calculate samples in an audio duration.
A × B (A, B, C refer to the labeled entries)
- Equal-temperament note frequency — Calculate equal-temperament note frequency from the labeled values.
Frequency = reference × 2^(semitones/12)
- Measured tuning difference — Calculate measured tuning difference from the labeled values.
Cents = 1200 × log₂(measured/reference)
Definitions and source references
Unit definitions and selected model references:
- Virginia Tech: wing geometry and mean aerodynamic chord
- Aircraft Design course: tail volume definitions
- Prusa: filament and printer calculation references
- NIST: SI defining constants
- NASA: aerodynamic lift models
- Horizon Hobby: product and battery documentation
- Smithsonian: Maya calendar units
- NIST: frequency intervals and cents
- NIST: binary prefixes
- NOAA: nautical miles and knots
- RFC 3021: IPv4 /31 point-to-point links
- MDN: exact integer arithmetic
- NIST: international-foot unit conversions
- NASA/JPL: astronomical unit definitions
- NASA: ideal rocket equation
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