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When is a second or third earbud tone worth it before a glance?

research/ambient-rechime

How many repeated earbud tones before a glance are worth their annoyance, by urgency, tone gap and masking, in the ambient-urgency utility model (stylised)

9 tests

What it found

A stylised extension of the urgency model lets the assistant repeat a tone up to four times, 3 s apart, each noticed independently and cancelled once the wearer looks. Choosing the number of tones per context raises mean utility per message from 0.387 (plain glance or one tone) to 0.409; two tones give most of it, and the gain is nil for low urgency and 0.062 for high urgency (partly built in by the weights). Always repeating is barely better than one tone. A Monte Carlo check agrees with the closed form to 0.002. Tones are assumed independent and annoyance flat per tone, and every parameter is a round figure of mine: nothing is fitted or measured.

A figure from its own output

Figure produced by research/ambient-rechime: chime_mask
ambient-rechime/experiments/chime_mask.svg, written by the project's own experiment code.

Paper, code and results

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Produced with AI assistance (Claude). Results are from the code in this repository and are simulated or stylised unless the abstract says otherwise; nothing here implies affiliation with or endorsement by any lab, researcher or company cited. MIT licensed.