Does an Independent Central Bank Violate Democracy?

The question of central bank independence is one of degree.
A completely independent central bank is impossible as long as a
country has provisions for altering central bank powers, even if
that requires constitutional amendments. On the other hand, any
central bank has at least some discretion in monetary policy
unless it is either in the pocket of a dictator or required by
mandate to follow a mechanical rule, such as the central bank in
Argentina where monetary policy is effectively determined by the
currency board.

In the United States and many other countries, people
question the degree of central bank independence, often citing
the need to better insulate central bankers from pressure to
serve either the political motives of government officials or the
financial interests of private individuals and organizations.
This school of thought argues that the central bank should be
left alone to pursue one monetary policy goal: price stability.
It is feared that either government officials with too much
influence over central bankers or laws setting inappropriate
priorities for them undermine this independence.
The Federal Reserve already enjoys a good measure