FA-78677 / Broadcast timecode arithmetic / Member archive

Audio sample to frame cadence at 48 kHz: frame length · case 02

Every NTSC frame is reported as 1601 samples, breaking the five-frame cadence.

Member previewVariant 2 · 3 implementations · 9 checks per implementation

Case contract

At 48000 samples per second and rate N/D, the frame containing sample s is floor(s*N/(48000*D)); frame k starts at sample ceil(k*48000*D/N). Return [frame, offset of s inside its frame, number of samples in that frame].

Why this case matters

Timecode arithmetic errors misplace edits, commercial breaks and captions against the broadcast clock.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
regression: frame length	`[0, 1601, 1601]`	`[0, 1601, 1602]`	Failed

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This record includes three runnable implementations, regression fixtures, execution results, and source hashes.

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