OSHB's tables cover four cases: First, what OSHB calls 'scope': 'Poetic' (Job, Psalms, Proverbs, the '3 Books') vs 'Prose' (the rest of Tanakh, '21 Books' (which combine 12 minor prophets into one book)). Then, for each of the two scopes above, there are two sub-tables for what I call 'divisions': 'conjunctive' vs 'disjunctive' trup.
To find the trup name for trup symbols on a given word, using the OSHB tables, we look up the symbols in OSHB's tables, following OSHB's indication of scope and division. If we find no match, we first try a different division in the same scope -- disjunctive vs conjunctive.
If that fails and there are more than one trup symbols on the word, we try each symbol separately and combine results.
Of course that can give misleading results for 'atomic' but multi-symbol trup like Ole-v'Yored and R'via-Mugrash. Perhaps the 'premium' version of this site will try more complex permutations of the multiple symbols. Similarly, we could theoretically appeal to 'the other' scope if the apparent, OSHB-indicated scope yields no match -- another feature in the mythical premium version.
Despite some accommodations mentioned above, we have refrained from changing the underlying data, tables, scope-indications and so-on from OSHB. Of course our display / results (if we got our own treatment right), could serve OSHB contributors in identifying and correcting potential errors in their data.