Skip fretting system 48 2 13: Difference between revisions

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One way to play [[48-edo]] on a [[24-edo guitar]] is to tune each pair of adjacent strings 13\48 apart. (That's 325 cents, a bit sharp of 6:5.)
One way to play [[48-edo]] on a [[24-edo]] guitar is to tune each pair of adjacent strings 13\48 apart. (That's 325 cents, a bit sharp of 6:5.)


48-edo improves on 24-edo's 5:4 a little, its 7:4 a lot, and its 23:16 and 29:16 enormously. Among the possible [[skip fretting]] systems for 48-edo, the (48,2,13) system is especially convenient in that every 11-limit ratio spans at most 3 frets. In fact, so does every ratio in the 2.3.5.7.11.29 group. Since it makes it particularly easy to play music composed in [[doublewide]] temperament, it could also be called a doublewide guitar.  
48-edo improves on 24-edo's 5:4 a little, its 7:4 a lot, and its 23:16 and 29:16 enormously. Among the possible [[skip fretting]] systems for 48-edo, the (48,2,13) system is especially convenient in that every 11-limit ratio spans at most 3 frets. In fact, so does every ratio in the 2.3.5.7.11.29 group. Since it makes it particularly easy to play music composed in [[doublewide]] temperament, it could also be called a doublewide guitar.