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Skip fretting system 58 4 15: Difference between revisions

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Jeff Brown (talk | contribs)
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Created page with "One way to play 58-edo on a 14.5-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. == Where the first prime..."
 
Jeff Brown (talk | contribs)
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Replace some text, which doesn't display correctly on a phone, with an image that has to
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== Where the first primes intervals lie ==
== Where the first primes intervals lie ==


In the folowing the strings are vertical and the frets are horizontal. 1 represents octave equivalents of the root, 3 represents octave equivalents of the 3rd harmonic (3:2, 3:1, 3:4, etc.), etc.
In the diagram the strings are vertical and the frets are horizontal. 1 represents octave equivalents of the root, 3 represents octave equivalents of the 3rd harmonic (3:2, 3:1, 3:4, etc.), etc.


(Note that 58-edo is consistent in the 17-limit plus 29. That is to say, of the harmonics depicted below, the most interesting ones are probably the values less than or equal to 17, plus 29.)
Since 58-edo is consistent in the 17-limit plus 29 group, the positions of the harmonics in that group imply how to play every interval in it. For instance, the interval 10:7 lies two strings up on the same fret, because that will take you from harmonic 7 to harmonic 5.
 
[[File:58-edo 15x4.png|thumb|Where the harmonics lie in the 15\58 x 4\58 isomorphic layout]]
                  headstock on this side
   
 
   
              1  - 23  -  -  -  -  7 -  5
    
              -  5  3  -  -  -  -  -  - 21
[[Category:Skip fretting]]
              - 21  - 15 9  -  -  -  - 11
[[Category:58edo]]
              - 11  -  - 19  - 27  -  - -
              - -  -  -  -  -  - 17  -  -
              -  - 29  -  - 25  -  -  -  -
              -  -  -  -  - 13  -  -  -  -
    bass      -  -  1  - 23  -  -  -  -  7  treble
    strings   -  7  -  5  3  -  -  -  -  -  strings
              -  -  - 21  - 15  9  -  -  -
              -  -  - 11  -  - 19  - 27  -
            27  -  -  -  -  -  -  -  - 17
              - 17  -  - 29  -  - 25  -  -
              -  -  -  -  -  -  - 13  -  -
              -  -  -  -  1  - 23  -  -  -
              -  -  -  7  -  5  3  -  -  -
 
                    bridge on this side
 
[[Category:Skip fretting]] [[Category:58edo]]
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