Skip fretting system 60 2 29
Another good way to play 60-edo is to tune a 30-edo guitar with each pair of adjacent strings 29/60 apart, or 580 cents, close to 7/5, which actually gives you a wider range than a standard guitar with the same number of strings.
While Skip fretting system 60 3 19 is optimized for playing in Magic temperament, this one naturally pushes you towards playing in Tritonic. The difficulty of playing intervals is proportional to their complexity in Tritonic temperament, with moving up or down one string moving you one generator away, and moving forward or back a fret a small step in its many MoSes. This means all harmonics up to 10 are fairly easy to play, requiring a maximum stretch of 5 frets (equivalent to 2 in 12edo) The 11th harmonic is very hard to reach, but the 11e mapping is also easy to play, which works out well because the 11e val has a lower badness in 60edo due to the flatness of all the other harmonics. The higher primes are also quite hard to play and the frets are very close together, however, meaning this tuning is best used on a long scale bass instrument while other instruments such as 20 & 15edo skip-fret guitars add more complex harmonies in the upper registers.
Here is where all the prime intervals lie:
note | fretboard position |
---|---|
0 steps = 1 % 1 | string 0 fret 0 |
60 steps = 2 % 1 | string 2 fret 1 |
35 steps = 3 % 2 | string 1 fret 3 |
19 steps = 5 % 4 | string 1 fret -5 |
48 steps = 7 % 4 | string 2 fret -5 |
28 steps = 11 % 8 | string 0 fret 14 |
27 steps = 11 % 8e | string 1 fret -1 |
42 steps = 13 % 8 | string 2 fret -8 |
5 steps = 17 % 16 | string 1 fret -12 |
15 steps = 19 % 16 | string 1 fret -7 |
31 steps = 23 % 16 | string 1 fret 1 |
51 steps = 29 % 16 | string 1 fret 11 |
57 steps = 31 % 16 | string 1 fret 14 |
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.