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 ==


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.
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 harmonics through the 29th lies. 1 represents octave equivalents of the root (1/2, 1, 2, 4 ...), 3 represents octave equivalents of the 3rd harmonic (3:2, 3:1, 3:4 ...), etc.


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.
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.