Skip fretting system 90 5 17: Difference between revisions

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One can play in ~~90-edo~~ on an ~~18-edo~~ guitar, by tuning the strings 17\90 (226 and 2/3 cents) apart. The resulting system allows a player to reach any 13-limit interval by crossing a maximum of only 4 frets. ~~Octaves~~ lie across six open strings and one fret, or on the same string 18 frets up (because 90 is divisible by 18).

One can play in [[90edo]] on an [[18edo]] [[guitar]], by tuning the strings 17\90- (226 and 2/3 [[cents]]- ) apart. The resulting system allows a player to reach any [[13-limit]] interval by crossing a maximum of only 4 frets. [[Octave]]s lie across six open strings and one fret, or on the same string 18 frets up (because 90 is divisible by 18).

For string players, a drawback of this system is that harmonics 3, 7 and 13 all lie on the same string, so only one of them can be played at a time. (For keyboardists this is irrelevant, as all three notes can be played simultaneously.)

The primes intervals lie in the following places:

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|86 steps = 31 % 16

|string 3 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.

|}

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]]

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-One can play in 90-edo on an 18-edo guitar, by tuning the strings 17\90 (226 and 2/3 cents) apart. The resulting system allows a player to reach any 13-limit interval by crossing a maximum of only 4 frets. Octaves lie across six open strings and one fret, or on the same string 18 frets up (because 90 is divisible by 18).
+One can play in [[90edo]] on an [[18edo]] [[guitar]], by tuning the strings 17\90- (226 and 2/3 [[cents]]- ) apart. The resulting system allows a player to reach any [[13-limit]] interval by crossing a maximum of only 4 frets. [[Octave]]s lie across six open strings and one fret, or on the same string 18 frets up (because 90 is divisible by 18).
+For string players, a drawback of this system is that harmonics 3, 7 and 13 all lie on the same string, so only one of them can be played at a time. (For keyboardists this is irrelevant, as all three notes can be played simultaneously.)
 The primes intervals lie in the following places:
@@ Line 41: / Line 43: @@
 |86 steps = 31 % 16
 |string 3 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.
+|}
+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]]