Morrish Bible Dictionary
This term, which signifies 'praise,' is used by the Jews in reference to certain of the Psalms.
1. The Egyptian Hallel embraces Psalm 113 - 118. It was so called because it was chanted in the temple while the Passover lambs, which were first enjoined in Egypt, were being slain. It was also chanted in private when the Passover was kept; and it is thought that the 'hymn' mentioned in Matthew 26:30; Mark 14:26 refers to part of this Hallel.
2. The Great Hallel. This is so called because of including Psalm 136 , in every verse of which is the response "His mercy endureth for ever." Maimonides says it includes Psalm 118 - 136. Others say it begins at Psalm 120 or Psalm 135:4 . It was recited on the first evening of the Passover, also on any special occasion.
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Morrish, George. Entry for 'Hallel '. Morrish Bible Dictionary. https://www.studylight.org/dictionaries/eng/mbd/h/hallel.html. 1897.