Question about 7th chords

I have been reading up on jazz guitar, just because I like to dabble in the beginner's of various music forms right now, since I am playing primarily to learn about music and also enjoyment. When reading about the various types of 7ths chords, I had a question. Maybe there isn't a real answer and it just is the way it is, but I figured I'd ask.

I noticed that if you use the 7th in the following form:
1-3-5-7b
It's called a dominant 7th or major/minor.

Then I noticed that the following form:
1-3b-5-7
It's called a minor/major 7th.

However, I didn't see a more common term for that type of 7th chord. Is it because it isn't used much, or is there just really no good answer for this question? I guess it doesn't really matter much, since it won't affect my learning, but I was just curious, so I figured I'd ask. Thanks!

Also just a general comment. It's gonna take time to learn. Obviously nothing worthwhile is easy. But it sure does help that so many chords are movable up and down the fret board that it seems over time, it should just come very naturally to know where various chords are located. Which is pretty much awesome!

Hi btimm - it's not a very common chord. Are you familiar with building 7th-chords based on the notes existing in a major scale? If you are, you may see that minor 7th, major 7th, and dominant-7th chords all occur "naturally" when you build 7th chords from notes in a major scale. A minor major 7th chord (1 b3 5 7) isn't built with notes found in a single key, which makes it kind of an odd duck.

Zapped pretty much summed it up. I haven't seen this chord often in my time as a guitarplayer. I once stumbled upon it in connection with a chromatic baseline in a jazzsong but that was it!

The first time I heard it was Led Zepplin The Immigrant Song. At the end he does the F# octave thing then hits a DmM7..Dminor/major 7th.

e---1--

B---2--

G---2--

D---0--

A------

E------

i really like that chord i like to use the melodic voicing mM7 adds alot of tension and then modulate it to the major

iM7-V#9-I