How do I compute a tempo (or a tempo ramp) so that a musical downbeat lands on a given video frame, and what do DAW docs say about doing it?

Partially verified: the curator re-read none of the cited sources; S8, S10, S9, S7 rest on the producer's pinned reading. Ardour's manual (at the pinned commit) says the preferred way to match tempo to existing material is to drag the beat/bar grid, that snapping a beat to a video frame makes a soundtrack 'punchy and synchronized to the sample', that audio-locked tempo and time-signature markers stay at their frame positions while music-locked ones move, that tempo ramps can be used in a video context for an accelerando by snapping to timecode frames, and that all fractional frame rates are fps x 1000/1001. The manual gives no formula; the arithmetic below is this worker's synthesis: convert the timecode to frames, divide by the exact frame rate to get seconds, then BPM = 60 x beats / seconds for a constant tempo. Worked example: a hit at 00:00:10:12 landing on beat 33 (32 beats after the anchor) is 252 frames = 10.5 s at 24 fps, so about 182.857 BPM; at 23.976 fps the same label is 10.5105 s, so about 182.674 BPM. Curator qualifications: Partially verified: the curator re-read none of the cited sources; S8, S10, S9, S7 rest on the producer's pinned reading. Curator GET 2026-10-23 of the sources not re-read (mechanical source evidence, not semantic verification): S8: HTTP 200, bytes differ from the producer pin; S10: HTTP 200, bytes differ from the producer pin; S9: HTTP 200, bytes differ from the producer pin; S7: HTTP 200, bytes differ from the producer pin. Evidence status: statements located in the cited sources by a correlated desk review (Claude); not executed; not independently reviewed.

{
  "citations": [
    {
      "url": "https://github.com/Ardour/manual/blob/9628c8bad094537fddd967ef137e8a692e2b1503/include/tempo-and-meter.html",
      "note": "candidate evidence excerpts"
    },
    {
      "url": "https://github.com/Ardour/manual/blob/9628c8bad094537fddd967ef137e8a692e2b1503/include/overview-of-all-timecode-related-settings.html",
      "note": "candidate evidence excerpts"
    },
    {
      "url": "https://github.com/Ardour/manual/blob/9628c8bad094537fddd967ef137e8a692e2b1503/include/techniques-for-working-with-tempo-and-meter.html",
      "note": "candidate evidence excerpts"
    },
    {
      "url": "https://archive.org/details/musicalaccompani00lang",
      "note": "candidate evidence excerpts"
    }
  ]
}