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But is it the high holidays, or High Holy Days, and are these capitalized or lower-cased?  See this handy dictionary for some guidance.
Ref 296BM50 .03 S823d S74

Dictionary of the Jewish Religion 

Rosh HaShana marks the new year.  But by whose count?  Under “Calendar,” find a formula for converting Gregorian to Jewish calendar years.  After Rosh HaShana (Sept 1329), we’re in the year 5768 5772 since the Creation of the World.
Cornell Room 296.03 O98o Ref BM50 .O99

Reader’s Guide to Judaism

That said, how do Jews square the 5768 5772 years of Jewish time with the billions of years of scientific time since the Big Bang?  See this useful collection of bibliographic essays, under “Science and Religion”.
Cornell Room 296.03 R286r  Ref BM50 .R43

The Jewish Religion: A Companion

Why do some Jews celebrate Rosh HaShana for two days, and others for one?  It has to do with sightings of the New Moon, which determine the Jewish months.  See this reference, under “Rosh HaShana”
Cornell 296.03 J17b Ref BM50 .J28

JPS Guide to Jewish Traditions

No two Jewish holidays could be more different than Yom Kippur and Purim (Jewish Mardi Gras).  But by scrambling the letters, Jewish mystics uncovered Purim inside Yom Kippur.  What could they have been thinking?  This source gives a clue. (And after all, Mardi Gras culminates in Lent).
Cornell Room 296.4 E36j  Ref BM50 .E49

Encyclopedia Judaica  

A favorite pastime among Jewish philosophers is pondering reasons for  Jewish rituals.  For 10 good reasons to blow the Shofar, or ram’s horn, whose unique sound is ritually heard at the High Holy Days, look here under “Shofar.”
Ref DS102.8 .E496 & Online, from the Research Resources page

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