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2021-09-22T11:01:35Z

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Another good way to play [[60-edo]] is to tune a [[15-edo]] guitar with each pair of adjacent strings 17/60 apart, or 340 cents, a near perfect [[28/23]] with several other less accurate but useful interpretations.

While [[Skip fretting system 60 3 19]] is optimized for playing in [[Magic]] temperament, this one naturally pushes you towards playing in [[Amity]]. The difficulty of playing intervals is proportional to their [[complexity]] in Amity temperament, with moving up or down one string moving you one generator away, two frets a small step in Amity’s quasi-equal 7 note MOS scale, & 4 frets down and a string up for a small step in it’s larger MOS’s. While not as good as Magic for familiar 9-limit chords, Amity has it’s own excellent consonances that are well worth exploring, and the 80 cent semitones of a 15edo guitar are more melodically effective than [[20edo]] ones. Like 60 3 19, this is not quite the optimal tuning for the temperament, but much easier to tune using a standard [[12edo]] guitar tuner by fretting to 12edo notes when tuning than more accurate systems like [[53edo]]. Combining one of each kind of guitar would be an interesting way of making the full gamut of 60edo playable on physical 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 4 fret -2
|-
| 35 steps = 3 % 2
| string 3 fret -4
|-
| 19 steps = 5 % 4
| string 3 fret -8
|-
| 48 steps = 7 % 4
| string 4 fret -5
|-
| 28 steps = 11 % 8
| string 0 fret 7
|-
| 42 steps = 13 % 8
| string 2 fret 2
|-
| 5 steps = 17 % 16
| string 1 fret -3
|-
| 15 steps = 19 % 16
| string -1 fret 8
|-
| 31 steps = 23 % 16
| string 3 fret -5
|-
| 51 steps = 29 % 16
| string 3 fret 0
|-
| 57 steps = 31 % 16
| string 5 fret -7
|}

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:Amity]]
[[Category:Guitar]]
[[Category:60edo]]

Skip fretting system 60 4 17 - Revision history

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