A hearing aid configured to be worn in and/or at an ear of a user, said hearing aid comprising • an input transducer for converting an input sound to an electric input signal representing sound, • an output transducer for converting a processed electric output signal to an output sound, • a signal processor operationally coupled to the input and output transducers (IT, OT) and configured to apply a forward gain to the electric input signal or a signal originating therefrom, the input transducer, the signal processor and the output transducer forming part of a forward path of the hearing aid, the hearing aid further comprising • a feedback control system for compensating for acoustic or mechanical feedback of an external feedback path from the output transducer to the input transducer, the feedback control system comprising ∘ a feedback estimation unit for providing a feedback estimate signal of said external feedback path, ∘ a combination unit located in the forward path for combining the electric input signal or a signal derived therefrom and the feedback estimate signal detected by said estimation unit, to provide a resulting feedback corrected signal (fbc), ∘ a correlation detection unit configured to determine a correlation measure (c) between said feedback corrected signal (fbc) and said processed electric output signal, said correlation detection unit further configured to provide a processed version of said correlation measure (cpro), wherein said feedback estimation unit comprises a feedback detector configured to distinguish between tonal sounds produced by acoustic or mechanical feedback and tonal sounds originating from the environment of a user in dependence of said correlation measure and said processed correlation measure. • an input transducer for converting an input sound to an electric input signal representing sound, • an output transducer for converting a processed electric output signal to an output sound, • a signal processor operationally coupled to the input and output transducers (IT, OT) and configured to apply a forward gain to the electric input signal or a signal originating therefrom, the input transducer, the signal processor and the output transducer forming part of a forward path of the hearing aid, the hearing aid further comprising • a feedback control system for compensating for acoustic or mechanical feedback of an external feedback path from the output transducer to the input transducer, the feedback control system comprising ∘ a feedback estimation unit for providing a feedback estimate signal of said external feedback path, ∘ a combination unit located in the forward path for combining the electric input signal or a signal derived therefrom and the feedback estimate signal detected by said estimation unit, to provide a resulting feedback corrected signal (fbc), ∘ a correlation detection unit configured to determine a correlation measure (c) between said feedback corrected signal (fbc) and said processed electric output signal, said correlation detection unit further configured to provide a processed version of said correlation measure (cpro), wherein said feedback estimation unit comprises a feedback detector configured to distinguish between tonal sounds produced by acoustic or mechanical feedback and tonal sounds originating from the environment of a user in dependence of said correlation measure and said processed correlation measure. ∘ a feedback estimation unit for providing a feedback estimate signal of said external feedback path, ∘ a combination unit located in the forward path for combining the electric input signal or a signal derived therefrom and the feedback estimate signal detected by said estimation unit, to provide a resulting feedback corrected signal (fbc), ∘ a correlation detection unit configured to determine a correlation measure (c) between said feedback corrected signal (fbc) and said processed electric output signal, said correlation detection unit further configured to provide a processed version of said correlation measure (cpro), wherein said feedback estimation unit comprises a feedback detector configured to distinguish between tonal sounds produced by acoustic or mechanical feedback and tonal sounds originating from the environment of a user in dependence of said correlation measure and said processed correlation measure.