This musical timing tool measures tempo in Beats Per Minute (BPM) with an interactive audio metronome click engine. Drummers practicing rudiments, guitarists dialing in delay settings, and producers locking synthesizers can tap rhythms via keyboard or touchscreen and hear audible tempo playback.

### Hardware Tap Engine & Audio Synthesis The metronome engine combines sub-millisecond timer resolution with Web Audio API synthesis:

- **Touch and Spacebar Tapping:** Records timestamps with the browser `performance.now()` API, tracking rhythmic taps within an active 3-second timing window. - **Rolling Average Filtering:** Eliminates human latency jitter across consecutive tap intervals to stabilize BPM readings between 30 and 300 BPM: $$\text{BPM} = \text{Round}\left( \frac{60000}{\text{Average Interval (ms)}} \right)$$ - **Audible Web Audio Click:** Synthesizes an 800 Hz high-frequency woodblock audio pulse with rapid exponential gain decay for zero-latency rhythmic playback.

### Practical Tempo Detection Example Suppose a musician taps the tempo of a live acoustic drum track: - **Tapped Intervals:** 4 consecutive taps spaced ~667 ms apart ($665\text{ ms}, 670\text{ ms}, 666\text{ ms}$). - **Average Tap Interval:** $667.0\text{ ms}$. - **Computed Tempo:** $60000 / 667.0 \approx \mathbf{90\text{ BPM}}$ (classic mid-tempo groove). - **Metronome Playback:** Enabling "Play Click" triggers an 800 Hz click every 667 milliseconds.

### In-Browser Audio Performance All audio synthesis runs natively inside your browser's Web Audio thread. No microphone audio is captured, and zero performance telemetry is transmitted to external servers.