View source for 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:

{| class="wikitable"
! 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.

[[Category:Skip fretting]]
[[Category:Magic]]
[[Category:Guitar]]
[[Category:60edo]]