Disable music but not sound
I'd often like to listen to my own music while playing, or leave the Conclave tab open in my browser while doing other things (visiting YouTube, etc.). The persistent music is a problem in these circumstances. However, I'd still like to get the game sound effects. It would be cool to split these out into two mute buttons so you could mute just one or the other rather it being all or nothing.
A volume slider control would be good rather than just mute on the browser and desktop versions
Robert W Edwards commented
Or make it so you can set relative volume for music and sound effects; And game effects (someone made a move) louder still than regular audio-feedback.