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Can't find any app that offers this - it would be awesome to have a feature that plays the metronome at an unidentified tempo and then gives you the option to try to identify the tempo/guess as close as you can to improve your ability to identify tempos. Similar to frequency training tests for audio engineers, it could give you four options (120, 135, 112, 150) or have a hard mode where you have to type it into a field, and score you based on the ratio of how close to you were to the target tempo. I would use this religiously to kill time on the bus, on planes, during any downtime.
we talked about this often over the years - would be definitely a cool feature and relatively straightforward to build it.