Skip fretting: Difference between revisions
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Skip-fretting systems can be "isomorphic", with the same distance between every pair of adjacent strings, but they don't have to be. An isomorphic skip-fretting system can be described with three numbers: The EDO it allows one to play, the fraction of that EDO's notes on any particular string, and the number of steps in the EDO between adjacent strings. So, for instance, the system described above for playing 24-edo on a 12-edo guitar could be called a "24 2 9" system (9\24 being equal to 450 cents). | Skip-fretting systems can be "isomorphic", with the same distance between every pair of adjacent strings, but they don't have to be. An isomorphic skip-fretting system can be described with three numbers: The EDO it allows one to play, the fraction of that EDO's notes on any particular string, and the number of steps in the EDO between adjacent strings. So, for instance, the system described above for playing 24-edo on a 12-edo guitar could be called a "24 2 9" system (9\24 being equal to 450 cents). | ||
[In retrospect, I wish I had used notation like "2,13\41" instead of "(41,2,13)". Both of those represent the [[Kite guitar]] tuning equally unambiguously, but I think the first is clearer.] | [In retrospect, I wish I had used notation like "2,13\41" instead of "(41,2,13)". Both of those represent the [[Kite guitar]] tuning equally unambiguously, but I think the first is clearer.] | ||
== Tradeoffs inherent in skip-fretting systems == | == Tradeoffs inherent in skip-fretting systems == | ||
The ideal skip-fretting system would be one that offers the player a big range without requiring too much movement or stretching, good approximations to the just intervals they want, and convenient unison or octave equivalents to any given note. These qualities are in tension. | The ideal skip-fretting system would be one that offers the player a big range without requiring too much movement or stretching, good approximations to the just intervals they want, and convenient unison or octave equivalents to any given note. These qualities are in tension. | ||