Rotate window is the main way that I navigated tmux before I learned
select-pane. It allows you to change your focused pane, or rotate the
position of the panes easily.
bind-key C-o rotate-window bind-key o select-pane -t :.+
My keybindings look just a bit different than the default ones, I do not like
needing to hit prefix for every command, especially for repeated commands. I
set a similar keybinding to the default one that uses mod instead of prefix.
bind -n M-o select-pane -t :.+ bind -n M-O rotate-window
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Also check out this long form post for more about how I use tmux.