I have chosen to look further into Scheme rather than Common Lisp, in part because it appears simpler, but also that Common Lisp is said to be directed by a standard that has stood still for many years and which doesn’t address many new issues faced by programmers. Scheme appears more nimble with many different implementations for different purposes.
For historical reasons, I would call Scheme a Lisp, and I would not use the word Lisp as synonymous to Common Lisp. Common Lisp surfaced after Scheme, and Lisp was used of programming languages even before Scheme.