Primary, secondary…

…tertiary, quaternary, quinary, senary, septenary, octonary, nonary, denary (10), duodenary (12), and vigenary (20).

I’ve done a fair amount of looking and at the time of this post the web does not seem to know what the holes are between 10 to 12 and 12 to 20; or beyond.  In fact, there are some sites that all but state that the words to fill those holes do not exist.