Checking The Lexicon

There is a question of terminology that I would like to ask, about
the harmonic relationships of ratios.

If you consider the below sequence of ratios, with the odd ratios in
the left column and the inversions in the right:

1/1 2/1

3/2 4/3

5/4 8/5
5/3 6/5

7/6 12/7
7/5 10/7
7/4 8/7

9/8 16/9
9/7 14/9
3/2 4/3
9/5 10/9

11/10 20/11
11/9 18/11
11/8 16/11
11/7 14/11
11/6 12/11

13/12 24/13
13/11 22/13
13/10 20/13
13/9 18/13
13/8 16/13
13/7 14/13

15/14 28/15
15/13 26/15
5/4 8/5
15/11 22/15
3/2 4/3
5/3 6/5
15/8 16/15

... etc - continued on to theoretical infinity.

There's an interesting harmonic relationship in that with the
beginning ratio for each odd limit, and ending with the final
inversion of that limit, there are found the super-particular ratios
which make up the linear harmonic series. 1/1, 2/1, 3/2, 4/3, 5/4,
6/5, 7/6, 8/7 and so on. Also interesting is the fact that all of the
other ratios are found in the harmonic series by addition of the
harmonics.

I know this is really basic, but I'm just curious to know if there is
an accepted term for the relationships of this series other
than "harmonic relationship".

Thanks,

Jacky Ligon