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You activate hyper voice at the widest part of the cone because it does more damage, you are kiting them for maximum damage and it also reduces the sp. def (by 50) of targeted enemies.
Calm Mind increases movement speed so you can easily kite and stay away from people trying to get close as well as increasing your damage and bulk.
Hyper Voice is straight up very strong and overtuned, I don't think you've spent enough time using both. It's very difficult for most Pokemon to get close enough where hyper voice wouldn't do assloads of damage.