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High Holy Days - band - was created in 1998.
The High Holy Days of Rosh Hashanah and Yom Kippur are celebrated by Jews because God commands us to celebrate them (Leviticus ch.23).
No. The High Holy Days are Rosh Hashanah and Yom Kippur.Hanukkah is a minor festival.
See also:More about Hanukkah
The Jewish festivals
Rosh Hashanah and Yom Kippur.
Yom Kippur