Skip fretting system 41 2 11

One way to play 41-edo is on a 20.5-edo guitar, tuning each pair of adjacent strings 11\41 apart. That's about 322 cents, 6.3 cents sharp of a just 6:5.

A standard Kite guitar can also be played using this system, by simply retuning the strings. (In fact, (41,2,11) is what Kite Giedraitis first used, before eventually settling on (41,2,13). (41,2,11) ccould be called the "narrow Kite guitar". Kite considers it good for lead guitar.)

In the (41,2,11) system, every interval in the 31-limit spans at most 7 frets. By comparison, in the (41,2,13) system, the corresponding figure is 10 frets. However, octaves are substantially easier to play in the (41,2,13) system, spanning a single fret rather than 4.

Here is where all the primes intervals lie in the (41,2,11) system:

note fretboard position
0 steps = 1 % 1 string 0 fret 0
41 steps = 2 % 1 string 3 fret 4
24 steps = 3 % 2 string 2 fret 1
13 steps = 5 % 4 string 1 fret 1
33 steps = 7 % 4 string 3 fret 0
19 steps = 11 % 8 string 1 fret 4
29 steps = 13 % 8 string 3 fret - 2
4 steps = 17 % 16 string 0 fret 2
10 steps = 19 % 16 string 0 fret 5
21 steps = 23 % 16 string 1 fret 5
35 steps = 29 % 16 string 3 fret 1
39 steps = 31 % 16 string 3 fret 3

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.