interesting .. lets look at pshat of your drash:
mt Tabor is 588 metres (194 for Americans 🙂
then Har Sinai should be 36m high…
Now, if you take 1/64th of Everest gives you 553 m, still does not match Jabal Musa that might be Mt Sinai (2285m)… BUT J Musa prominence (height from the bottom, not from the sea) is 334 meters… Of course, Mishna was not talking to Chinese, so maybe they meant the highest (in prominence) mountain in the general Middle East/Europe/North-East Africa area – Either Damavand or Kilimanjaro or Elbrus or Dashen or Mt Blanc: 1/16th of all of them is between 250 to 370 meters –
exactly Jabal Musa!
of course, it could be that Jabal Musa is not Har Sinai …