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Equation 1 · Part 4 · Where Multimodal Frontier Models Actually Differ, Beyond the Marketing

Symbol tau_audio

cvideo≈(f×τframe)+τaudioc_{\text{video}} \approx (f \times \tau_{\text{frame}}) + \tau_{\text{audio}}
τaudio\tau_{\text{audio}}

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tauau_audio is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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tauau_audio is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

…audio streams into one per-second cost: cvideo≈(f×τframe)+τaudioc_{\text{video}} \approx (f \times \tau_{\text{frame}}) + \tau_{\text{audio}}. where, at default resolution, the sampling rate f is one frame per second, each frame costs τframe\tau_{\text{frame}} ≈\approx 258 tokens, and the audio track costs τaudio\tau_{\text{audio}} ≈\approx 32 tokens per second — giving cvideoc_{\text{video}} ≈\approx 290 tokens per second, close to the approximately 300 tokens per second Google documents directly for default-resolution video [ 5 ] . The formula is unremarkable arithmetic, but what it exposes is the real…

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