Skip fretting system 58 2 17: Difference between revisions

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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.]]
 
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.)
[[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 12-string guitar, shows where each of the [[17-limit]] harmonics lies, plus the [[29/16|29th harmonic]].  
 
Since 58-edo is [[consistent]] in the 17-limit + 29, these harmonics' positions imply 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.)  
 
[[Octave]]s are indicated as powers of 2 (specifically 1, 2, 4 and 8).
 
[[Category:58edo]]
[[Category:29edo]]
[[Category:Guitar]]
[[Category:Layout]]
[[Category:Isomorphic]]
[[Category:Skip fretting]]

Latest revision as of 20:25, 22 March 2024

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.

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 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, these harmonics' positions imply 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).

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