Bar (Static measure)

HMM can modeled to determine hidden parameters from the observable data.

Observations(Melody bars)

Hidden States (Chords )

Observation Probability

Transition Probability

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Aij=P (Chord i / Chord i-1)

Ai,j = αAmaji,j X (1-α) Amini,j

Calculate

Bij=P (MelodyBar / Chord) . Di,j

π = P(StartChord/Chord)

A – Transition Probability Matrix

B – Observation Probability matrix

α- Emotional Factor

D – Pitch Class Vector

Given A , B , π

Max P(Chords/MelodyNotes ) = Viterbi Path=?

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y

General Users (Novice) (30) 100% 90% - -

Intermediate-Musicians(15) 100% 80% - -

Technical Expert (3) 95% - 75% 75%

Professional Musicians(6) 100% 80% 80% -