Skip fretting system 58 4 15: Difference between revisions

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== Where the first primes intervals lie ==
== Where the first primes intervals lie ==
[[File:58-edo 15x4.png|thumb|Where the harmonics lie in the 15\58 x 4\58 isomorphic layout]]


The diagram below (or at right, or somewhere) is of a hypothetical 12-string guitar in this tuning. It shows where each of the odd [[harmonic]]s through the 29th lies. 1 represents [[octave]] [[Equivalence interval|equivalents]] of the root (1/2, 1, 2, 4 ...), 3 represents octave equivalents of the 3rd harmonic (3:2, 3:1, 3:4 ...), etc.
The diagram below (or at right, or somewhere) is of a hypothetical 12-string guitar in this tuning. It shows where each of the odd [[harmonic]]s through the 29th lies. 1 represents [[octave]] [[Equivalence interval|equivalents]] of the root (1/2, 1, 2, 4 ...), 3 represents octave equivalents of the 3rd harmonic (3:2, 3:1, 3:4 ...), etc.
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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|10:7]] lies two strings up on the same fret, because that will take you from harmonic 7 to harmonic 5.
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|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]]
    
    
[[Category:Skip fretting]]
[[Category:Skip fretting]]
[[Category:58edo]]
[[Category:58edo]]