Skip fretting system 58 2 17: Difference between revisions
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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 117x2.png|thumb|Where every harmonic in the 17-limit + 29 group lie on a 17\58 x 2\58 isomorphic 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 | The diagram, which could be interpreted as part of the fretboard of a 12-string guitar, 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.) Octaves are indicated as powers of 2 (specifically 1, 2, 4 and 8). | ||
Revision as of 14:00, 10 May 2023
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.
The diagram, which could be interpreted as part of the fretboard of a 12-string guitar, 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.) Octaves are indicated as powers of 2 (specifically 1, 2, 4 and 8).