According to Pittaway's article, a XIV century music textbook gives it a tuning of ADGC, which is not far from the modern ukulele's standard tuning of GCEA, merely 3 semitones higher on 1st and 2nd strings, just 2 semitones higher on 3rd and 4th.
Learn how to make your ukulele a “Medieval Instrument” with the tabs and tutorial for free. The song sheet with scales, and tabs are below this tutorial.
50 Ukulele Essentials Songbook
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A collection of 50 essential songs for the ukulele