I also think that a few more chords quality would be useful, such as minor(add 9), which is a plain minor chord with a 9th (1,b3,5,9) but without the 7th.
This chord is commonly used in rock and pop.
Also missing: Major(add4) which is (1,3,4,5) without the 7th and also m7add11 (1,b3,5,b7,11), without a 9th

I'm not sure about which chord you mean by mM13. Do you mean (1,b3,5,b7,9,13) or (1,b3,5,7,9,13)?
There is already a minor 6th chord, but it doesn't have any 7th in it (1,b3,5,6)