From chatsah; a halving or the middle -- half (so much), mid(-day).
see HEBREW chatsah
H4276. machatsith
מַחֲצִית noun feminine half, middle — construct מַחֲצִית Exodus 30:13 (twice in verse) + 8 t.; מַחֲצִת Numbers 31:30, 47; suffix מַחֲצִיתוֺ Exodus 30:23, מַחֲצִיתָהּ Leviticus 6:13 (twice in verse), מַחֲצִיתָם Numbers 31:29 —
1 half of a shekel Exodus 30:13 (twice in verse); 30:15 compare 30:23; 38:26; the flour for offering Leviticus 6:13 (twice in verse), of spoils Numbers 31:29-30, 42, 47; of tribe Joshua 21:25 (all P), 1 Chronicles 6:46; 6:55; of chariots 1 Kings 16:9.
2 middle ׳מ היּוֺם = midday, noon Nehemiah 8:3 (compare midnight, חֲצִי חָצוֺת, 2).
חצן (√ of following; meaning dubious; denominative seem to be Arabic , Ethiopic carry in the arms or bosom, rear, foster; perhaps also Assyrian êƒênu, bring together, also drink or draw in sweet odours Flood Tabletiii, 49 Hpt in KAT2Gloss i).