# Skip fretting system 58 2 15

One way to play 58-edo on a 29-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.

Among the possible skip fretting systems for 58-edo, the (58,2,15) system is especially convenient in that every 7-limit interval spans at most 3 frets, and every interval in the 2.3.5.7.13.23 subgroupspans at most 4 frets. As it makes it particularly easy to play music composed using myna temperament, it could also be called a myna guitar.

## Where the lowest harmonics lie

The diagram below (or at right, or somewhere) is of a hypothetical 12-string guitar in this tuning. It shows where each of the odd harmonics through the 29th lies. 1 represents octave equivalents of the root, 3 represents octave equivalents of the 3rd harmonic (3:2, 3:1, 3:4, etc.), etc.

Where the harmonics lie in the 15\58 x 2\58 isomorphic layout

Since 58-edo is consistent in the 17-limit + 29 group, the location of any interval in that group can be determined from the corresponding harmonics. (For instance, to rise by 7:5, go up two strings and down one fret, because that takes you from harmonic 5 to harmonic 7.)