I am learning the construction of 7th chords and this Cminmaj7 chord made me really confused when I came across in my studies. Why do both minor and major 7 exist together? Also, is this a consonant or dissonant sound? Can you please explain theoretically the reason for its use and where to apply it in practice?
For this question I used C as the tonic and illusrated some of the formulas that I know and are commonly used.
Tonic + major 3rd + perfect 5th + major 7th = Cmaj7
Tonic + minor 3rd + perfect 5th + minor 7th = Cm7
Tonic + major 3rd + perfect 5th + minor 7th = C7
Tonic + minor 3rd + diminished 5th + minor 7th = Cm7b5
But what is Cminmaj7?