Is Cmaj7 in the C major scale different than the Cmaj7 in the C Dorian scale?

Question

I was told that the 7 in Cmaj7 indicates the 7th scale degree. But here's what's confusing to me: in the C major scale, the 7th scale degree is B. And the interval from the root note of the Cmaj7 chord to the 7th would be a M7. However, in the C Dorian scale, the 7th scale degree is A#, and the interval from the root note of Cmaj7 to the 7th would be a m7. So if the number 7 in Cmaj7 really indicates the 7th scale degree, then does that mean Cmaj7 in C major scale is different than Cmaj7 in C Dorian scale?

Answer 1

No. The C Dorian scale would have two flats whereas a CM7 would not have any flats. Remember that the modes are based on different combinations of half and whole steps. Implement the "formula" using the tonic to begin the formula and to create the desired mode. There is no A# in the C Dorian scale whose pitches are: C D Eb F G A Bb C