Unanchored vocal models drift out-of-tune across phrases, beating sourly against tempered concert pitch backing tracks.
Mathematical intonation pinning locks fundamental frequency to tempered pitch grid with zero microtonal beating.
Everyday Analogy: Have you ever heard two guitar strings that are slightly out of tune make an annoying "wah-wah-wah" pulsing sound? That pulse is called acoustic beating. Drag the pitch wheel below while sound is playing to hear the pulsing speed up when out of tune—and vanish completely when you lock into 0.0¢!
Live parameter payload & closed-loop frequency error telemetry:
Microtonal deviation is measured in logarithmic cents relative to reference frequency \(f_0\): \[ \Delta c = 1200 \log_2 \left( \frac{f_{\text{synth}}}{f_{\text{ref}}} \right) \] Standard voice generative models wander by \(\pm 18\) to \(45\) cents, producing an unbearable acoustic beating frequency \(|f_{\text{synth}} - f_{\text{ref}}| \approx 4.5 \text{ to } 11.5\text{ Hz}\). THIRI pins synthesis to the tempered grid with locked parameter vectors, restricting drift to \(\le \pm 2\text{ cents}\) and rendering acoustic beating imperceptible.