Search Ctrl K
Home / Tools
THE FEUTEX TOOLKIT

Linear Tempo Ramp Duration

Calculate elapsed time for tempo changing linearly with beat position.

Music workspace● Runs in your browser
01 Your input
02 Your result
View or copy raw result data
FormulaSeconds = start_bpm===end_bpm?60*beats/start_bpm:60*beats*Math.log(end_bpm/start_bpm)/(end_bpm-start_bpm)

Made for real tasks

  • Calculate elapsed time for tempo changing linearly with beat position.
  • Compare two scenarios by changing the inputs and rerunning the tool.
Explore step-by-step workflows →

Worked example

Inputs

Start BPM
90 BPM
End BPM
120 BPM
Beats
64 beats

Expected results

Seconds
36.82330527 s

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter start bpm, end bpm, beats.
  2. Use consistent units shown beside each input. Run the calculation and review the assumptions below.

Try this example

{
  "start_bpm": 90,
  "end_bpm": 120,
  "beats": 64
}

Accuracy and scope

Tempo is linear in beat count, not linear in elapsed time. Quarter-note BPM throughout.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.