MA: I have asked you for a source that states that Hoshana Rabbah is not Chol hamoed. Peach is a 7 day Yom tov (in EY) with the first and last days are Kodesh and assur to do melachah. Therefore there are 5 days of Chol hamoed (4 in chutz laaretz). Sukkos is 7 days with only the first day being kodesh so there are 6 days of Chol Hamoed (5 in chutz laaretz). Day 6 of Chol Hamoed (Day 5 in chutz laaretz) is known as Hoshana Rabbah.
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