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Yabai: tiling window manager with support for spaces

https://github.com/koekeishiya/yabai/wiki#comparison-with-other-window-managers

Requirements of Yabai

• "System Integrity Protection (SIP)" must be disabled
• "Displays have separate spaces" must be enabled

Note

• Yabai allows you to switch to a different space without animation (great)

Disable the Mission Control Mappings and use this ~/.skhdrc file with mappings as the OP wants:

ctrl - left : index=`yabai -m query --spaces --space | jq '.index'` &&\
                        if (($index != 1 && $index != 6 )) then\
                            new=$((index-1)); \
                            other=$(((new+5)%10));\
                            yabai -m space --focus "${other}"; yabai -m space --focus "${new}";\
                        fi
ctrl - right : index=`yabai -m query --spaces --space | jq '.index'` &&\
                        if (($index != 5 && $index != 10 )) then\
                            new=$((index+1)); \
                            other=$(((index+5)%10+1));\
                            yabai -m space --focus "${other}"; yabai -m space --focus "${new}";\
                        fi
# ctrl+1-5:

ctrl - 1 : index=`yabai -m query --displays --display | jq '.index'` &&\
                if (($index == 1)) then\
                    yabai -m space --focus 6; yabai -m space --focus 1;\
                else \
                    yabai -m space --focus 1; yabai -m space --focus 6;\
                fi
ctrl - 2 : index=`yabai -m query --displays --display | jq '.index'` &&\
                if (($index == 1)) then\
                    yabai -m space --focus 7; yabai -m space --focus 2;\
                else \
                    yabai -m space --focus 2; yabai -m space --focus 7;\
                fi
ctrl - 3 : index=`yabai -m query --displays --display | jq '.index'` &&\
                if (($index == 1)) then\
                    yabai -m space --focus 8; yabai -m space --focus 3;\
                else \
                    yabai -m space --focus 3; yabai -m space --focus 8;\
                fi
ctrl - 4 : index=`yabai -m query --displays --display | jq '.index'` &&\
                if (($index == 1)) then\
                    yabai -m space --focus 9; yabai -m space --focus 4;\
                else \
                    yabai -m space --focus 4; yabai -m space --focus 9;\
                fi
ctrl - 5 : index=`yabai -m query --displays --display | jq '.index'` &&\
                if (($index == 1)) then\
                    yabai -m space --focus 10; yabai -m space --focus 5;\
                else \
                    yabai -m space --focus 5; yabai -m space --focus 10;\
                fi