How do I turn off sound?

In-App Sound Effects

Go into the app's "Settings" screen (for instance, using the Settings link on the lower left of the Home screen)

Scroll down to the "Interface" section and turn Sound off

 

Notification Sounds

Exit the app, and go into the iPhone's main Settings, then to Notifications, then select the Chess app

From here, you can enable or disable the move-notification sounds and badges.  (By itself, the small red "badge" displays the number of games where it's your move... quietly. ;-)

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