Skip fretting system 44 2 11

One way to play 44edo on a 22edo guitar is to tune each pair of adjacent strings 300 cents apart -- a bit flat of 6:5.

44-edo results in extreme improvements in 22-edo's approximations to harmonics 13, 19 and 23. Among the possible skip fretting systems for 44-edo, the (44,2,11) system is especially convenient because

(1) Every ratio in the 2.5.7.11.13.19.29.31 subgroup lies within 4 frets of the root.

(2) It can be tuned with any ordinary 12-edo tuner.

Here is where all the primes intervals lie:

note fretboard position
0 steps = 1 % 1 string 0 fret 0
44 steps = 2 % 1 string 4 fret 0
26 steps = 3 % 2 string 2 fret 2
14 steps = 5 % 4 string 2 fret -4
36 steps = 7 % 4 string 4 fret -4
20 steps = 11 % 8 string 2 fret -1
31 steps = 13 % 8 string 3 fret -1
4 steps = 17 % 16 string 0 fret 2
11 steps = 19 % 16 string 1 fret 0
23 steps = 23 % 16 string 1 fret -5
38 steps = 29 % 16 string 2 fret -3
42 steps = 31 % 16 string 4 fret -1

From these, the location of a compound intervals N can be added by vector-summing the string-fret positions of N's factors. See Skip fretting system 48 2 13 for details on how that's done.