Skip fretting system 58 2 15: Difference between revisions

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add a section, comparing to the Kite Guitar
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m Categories, list temperament that makes this layout work well.
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One way to play 58-edo on a 29-edo guitar is to tune each pair of adjacent strings 15\58 apart. That's about 310.3 cents, or 5.3 cents flat of 6:5.
One way to play 58-edo on a 29-edo guitar is to tune each pair of adjacent strings 15\58 apart. That's about 310.3 cents, or 5.3 cents flat of 6:5.


Among the possible [[skip fretting]] systems for 58-edo, the (58,2,15) system is especially convenient in that every 7-limit interval spans at most 3 frets, and every interval in the 2.3.5.7.13.23 subgroupspans at most 4 frets.
Among the possible [[skip fretting]] systems for 58-edo, the (58,2,15) system is especially convenient in that every 7-limit interval spans at most 3 frets, and every interval in the 2.3.5.7.13.23 subgroupspans at most 4 frets. As it makes it particularly easy to play music composed using [[myna]] temperament, it could also be called a myna guitar.  


Here is where all the primes intervals in the (58,2,15) system lie:
Here is where all the primes intervals in the (58,2,15) system lie:
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The [[Kite Guitar]] uses 20.5 frets per octave to make a 41-edo instrument, and its frets are wide enough to be quite playable. If a standard guitar's scale length is 25", then an instrument using the 15\58 x 2\58 tuning described in this article would have a minimum fret width equal to the Kite Guitar's if it had a scale length of 25" * 29 / 20.5 = 35.4 inches. That is, while a 29-edo guitar might be difficult to play, a long-scale tapping instrument in 29-edo would be as playable as a Kite Guitar. (The most well-known tapping instrument, the Chapman Stick, has a scale length of 36".)
The [[Kite Guitar]] uses 20.5 frets per octave to make a 41-edo instrument, and its frets are wide enough to be quite playable. If a standard guitar's scale length is 25", then an instrument using the 15\58 x 2\58 tuning described in this article would have a minimum fret width equal to the Kite Guitar's if it had a scale length of 25" * 29 / 20.5 = 35.4 inches. That is, while a 29-edo guitar might be difficult to play, a long-scale tapping instrument in 29-edo would be as playable as a Kite Guitar. (The most well-known tapping instrument, the Chapman Stick, has a scale length of 36".)


[[Category:Skip fretting]]
[[Category:Skip fretting]] [[Category:58edo]] [[Category:Myna]]