View source for Skip fretting system 94 7 16

One way to play [[94edo]] on a two-dimensional grid is to put 7\94 between each column and 16\94 between each row of notes.

Among the possible layouts for 94-edo, the 7\94 x 16\94 system is remarkably convenient, in that every 13-limit interval spans at most 6 columns ("strings") and 8 rows ("frets"), and minor and major triads in close position fit in a 4x3 grid. In the 9-limit the octave is even more compact, spanning only 6 strings by 5 frets.

== Feasibility for stringed instruments ==

The 7\94 x 16\94 layout is feasible as a [[skip fretting]] system for stringed instruments. It requires only 94/7 = 13.429 frets per octave. However, on an instrument with only 6 strings and 24 frets, there will be no unisons, and no octaves available for notes on the middle four strings.

== Layout ==

{| class="wikitable"
! frequency
! fretboard position
|-
| 0 steps ~ 1 % 1
| string 0 fret 0
|-
| 0 steps ~ 1 % 1
| string 0 fret 0
|-
| 94 steps ~ 2 % 1
| string 5 fret 2
|-
| 55 steps ~ 3 % 2
| string 3 fret 1
|-
| 30 steps ~ 5 % 4
| string 1 fret 2
|-
| 76 steps ~ 7 % 4
| string 3 fret 4
|-
| 16 steps ~ 9 % 8
| string 1 fret 0
|-
| 43 steps ~ 11 % 8
| string 4 fret -3
|-
| 66 steps ~ 13 % 8
| string 5 fret -2
|-
| 85 steps ~ 15 % 8
| string 4 fret 3
|-
| 8 steps ~ 17 % 16
| string 4 fret -8
|-
| 23 steps ~ 19 % 16
| string 1 fret 1
|-
| 37 steps ~ 21 % 16
| string 1 fret 3
|-
| 49 steps ~ 23 % 16
| string 0 fret 7
|-
| 61 steps ~ 25 % 16
| string 6 fret -5
|-
| 71 steps ~ 27 % 16
| string 4 fret 1
|-
| 81 steps ~ 29 % 16
| string 2 fret 7
|-
| 90 steps ~ 31 % 16
| string 3 fret 6
|}

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 an exmaple of how that's done.

[[Category:Skip fretting]]