Skip fretting system 58 4 15: Difference between revisions
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m Fredg999 moved page 4\58 x 15\48 isomorphic layout & skip-fretting system to 4\58 x 15\58 isomorphic layout & skip-fretting system: Fix typo |
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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. | One way to play [[58-edo]] on a [[28ed4|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|6:5]]. | ||
== Where the first primes intervals lie == | == Where the first primes intervals lie == | ||
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 | 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. | ||
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]] | [[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]] | ||
Revision as of 03:54, 9 January 2024
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 primes intervals lie
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.
