High hat and Low-down

High hat noun - A man's hat with a tall crown; usually covered with silk or with beaver fur.

Low-down and high hat are semantically related. In some cases you can use "Low-down" instead an adjective phrase "High hat".

Low-down adjective - Not following or in accordance with standards of honor and decency.

High hat and low-down are semantically related. Sometimes you can use "High hat" instead an adjective phrase "Low-down".