These are the closest to what you're asking for:
•Shift+Ctrl+F10: Next Bible version tab
•Shift+Ctrl+F11: Next highlighted Book tab
•Shift+Ctrl+F12: Next highlighted Commentary tab
For the book and commentary panels, they only cycle through "highlighted tabs," which are tabs that indicate corresponding content with the active entry.
SwordSearcher has many keyboard shortcuts to quickly perform functions without using the mouse. Certain tasks will always require some use of the mouse, but advanced users who...
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