Skip fretting system 87 2 17: Difference between revisions

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One way to play ~~87-edo is~~ on a 43.~~5-edo guitar~~, tuning each pair of adjacent strings 17\87 apart~~. That's~~ 234.5 cents, ~~3.4 cents~~ sharp ~~of a just~~ 8:7.

One way to play [[87edo]] on a guitar is with frets every 2\87 (43.5edo), tuning each pair of adjacent strings 17\87 apart, or about 234.5 cents, corresponding to the sharp [[~]][[8/7]] generator of [[Rodan|rodan temperament]].

This tuning ~~is probably more applicable to keyboards~~ than ~~real~~ stringed instruments ~~-- but then again~~ Ron Sword has built a ~~46-edo~~ guitar, and claims it is playable.

This tuning may work better on instruments like the [[harpejji]] better than on traditional stringed instruments. However, Ron Sword has built a 46edo guitar and claims it is playable.

Among the possible [[skip fretting]] systems for 87-edo, one reason (87,2,17) is special is that every 17-limit interval spans at most 8 frets.

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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 way to play 87-edo is on a 43.5-edo guitar, tuning each pair of adjacent strings 17\87 apart. That's 234.5 cents, 3.4 cents sharp of a just 8:7.
+One way to play [[87edo]] on a guitar is with frets every 2\87 (43.5edo), tuning each pair of adjacent strings 17\87 apart, or about 234.5 cents, corresponding to the sharp [[~]][[8/7]] generator of [[Rodan|rodan temperament]].
-This tuning is probably more applicable to keyboards than real stringed instruments -- but then again Ron Sword has built a 46-edo guitar, and claims it is playable.
+This tuning may work better on instruments like the [[harpejji]] better than on traditional stringed instruments. However, Ron Sword has built a 46edo guitar and claims it is playable.
 Among the possible [[skip fretting]] systems for 87-edo, one reason (87,2,17) is special is that every 17-limit interval spans at most 8 frets.
@@ Line 49: / Line 49: @@
 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]]