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Maybe?
PDF or song name=Song xyz G [G search would include GH]
                               =Song xyz H [GH search would include G]
                               =Song xyz T
                               =Song xyz M
These names could be done in the import or edit step.
Genre=Scottish, Irish, Modern as required.
The negative is there could be as many as 12 versions shown in the library and + 4 for each additional genre.
When Mike gets to song versioning update this may be editable.

Edit" for typo, all song names the same except for G, H, T, M.