Skip fretting system 58 2 17: Difference between revisions

Jeff Brown (talk | contribs)
started it
 
Jeff Brown (talk | contribs)
Fix the picture -- I had drawn 17\58 x 4\58 rather than 17\58 x 2\58
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This layout allows someone to play in 58-edo on a 29-edo guitar, by tuning the guitar in neutral thirds -- that is, with 17\58 between each pair of adjacent strings.
This layout allows someone to play in 58-edo on a 29-edo guitar, by tuning the guitar in neutral thirds -- that is, with 17\58 between each pair of adjacent strings.
[[File:58-edo 17 x 2, mystery temperament.png|thumb|Where all the harmonics in the 17-limit + 29 group lie in the 17\58 x 2\58 layout.]]
[[File:58-edo 117x2.png|thumb|Where every harmonic in the 17-limit + 29 group lie on a 17\58 x 2\58 isomorphic layout]]
The diagram, which could be interpreted as part of the fretboard of a 10-string guitar tuned this way, shows where each of the 17-limit harmonics lies, plus the 29th harmonic. Since 58-edo is consistent in the 17-limit + 29, this implies where every interval in that group lies. (For instance, to play 7/6 you move up one string and down one fret, because that takes you from harmonic 3 to harmonic 7.)
The diagram, which could be interpreted as part of the fretboard of a 10-string guitar tuned this way, shows where each of the 17-limit harmonics lies, plus the 29th harmonic. Since 58-edo is consistent in the 17-limit + 29, this implies where every interval in that group lies. (For instance, to play 7/6 you move up one string and down one fret, because that takes you from harmonic 3 to harmonic 7.)