Skip fretting system 60 3 19

One way to play 60-edo on a 20-edo guitar is to tune each pair of adjacent strings 19/60 apart. That's 380 cents, 6.3 cents flat of a Just 5/4.

This tuning is closely related to both the Kite Guitar, only with octaves on each string, and the Magic Guitar, but with equally spaced frets. The difficulty of playing intervals is directly proportional to their complexity in Magic temperament, with moving up or down one string moving you one generator away, and one fret a small step in Magic's 7-19 note MOS scales. This means well-tuned 9-odd-limit chords are easy to play, requiring a maximum stretch of 4 frets, and extending to the 15-odd-limit only slightly harder. Chord shapes are essentially the same as the Kite guitar, although there are a greater number of hard to reach intervals at the far end of the gamut. However this is compensated for by the greater ease of tuning with a normal 12edo guitar tuner and playing in an ensemble with ordinary 12edo instruments.

Here is where all the prime intervals lie:

note	fretboard position
0 steps = 1 % 1	string 0 fret 0
60 steps = 2 % 1	string 3 fret 1
35 steps = 3 % 2	string 2 fret -1
19 steps = 5 % 4	string 1 fret 0
48 steps = 7 % 4	string 3 fret -3
28 steps = 11 % 8	string 1 fret 3
42 steps = 13 % 8	string 3 fret -5
5 steps = 17 % 16	string - 1 fret 8
15 steps = 19 % 16	string 0 fret 5
31 steps = 23 % 16	string 1 fret 4
51 steps = 29 % 16	string 3 fret -2
57 steps = 31 % 16	string 3 fret 0

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