Skip fretting system 58 4 15

One way to play 58-edo on a 14.5-edo guitar is to tune each pair of adjacent strings 15\58 apart. That's about 310.3 cents, or 5.3 cents flat of 6:5.

Where the first primes intervals lie

In the folowing the strings are vertical and the frets are horizontal. 1 represents octave equivalents of the root, 3 represents octave equivalents of the 3rd harmonic (3:2, 3:1, 3:4, etc.), etc.

(Note that 58-edo is consistent in the 17-limit plus 29. That is to say, of the harmonics depicted below, the most interesting ones are probably the values less than or equal to 17, plus 29.)

                 headstock on this side

             1  - 23  -  -  -  -  7  -  5
             -  5  3  -  -  -  -  -  - 21
             - 21  - 15  9  -  -  -  - 11
             - 11  -  - 19  - 27  -  -  -
             -  -  -  -  -  -  - 17  -  -
             -  - 29  -  - 25  -  -  -  -
             -  -  -  -  - 13  -  -  -  -
   bass      -  -  1  - 23  -  -  -  -  7   treble
   strings   -  7  -  5  3  -  -  -  -  -   strings
             -  -  - 21  - 15  9  -  -  -
             -  -  - 11  -  - 19  - 27  -
            27  -  -  -  -  -  -  -  - 17
             - 17  -  - 29  -  - 25  -  -
             -  -  -  -  -  -  - 13  -  -
             -  -  -  -  1  - 23  -  -  -
             -  -  -  7  -  5  3  -  -  -

                   bridge on this side