1. A method, comprising: at a computing device with a tactile output generator: detecting the occurrence of a first event; and in response to detecting the occurrence of the first event: in accordance with a determination that the first event is a first type of event, providing a first alert with the tactile output generator that includes a first haptic component selected based at least in part on an alert-salience setting of the device; and in accordance with a determination that the first event is a second type of event, providing a second alert with the tactile output generator that includes a second haptic component selected without regard to the alert-salience setting of the device.