Cycle through pair of spaces for two screens with one keyboard shortcut
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 (uses jq, e.g. install with $ brew install jq)

ctrl - left : index=`yabai -m query --spaces --space | jq '.index'` &amp;&amp;\
                        if (($index != 1 &amp;&amp; $index != 6 )) then\
                            new=$((index-1)); \
                            other=$(((new+5)%10));\
                            yabai -m space --focus "${other}"; yabai -m space --focus "${new}";\
                        fi
ctrl - right : index=`yabai -m query --spaces --space | jq '.index'` &amp;&amp;\
                        if (($index != 5 &amp;&amp; $index != 10 )) then\
                            new=$((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'` &amp;&amp;\
                if (($index == 1)) then\
                    yabai -m space --focus 6; yabai -m space --focus 1;\
                else \
                    yabai -m space --focus 1; yabai -m space --focus 6;\
                fi
ctrl - 2 : index=`yabai -m query --displays --display | jq '.index'` &amp;&amp;\
                if (($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'` &amp;&amp;\
                if (($index == 1)) then\
                    yabai -m space --focus 8; yabai -m space --focus 3;\
                else \
                    yabai -m space --focus 3; yabai -m space --focus 8;\
                fi
ctrl - 4 : index=`yabai -m query --displays --display | jq '.index'` &amp;&amp;\
                if (($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'` &amp;&amp;\
                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


If you are not interested in a tiling window manager but want to use these mappings, you can choose the layout mode 'float' in ~/.yabairc:

yabai -m config layout                       float