Skip fretting system 58 2 15: Difference between revisions
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Jeff Brown (talk | contribs) Compare to 31-edo |
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Among the possible [[skip fretting]] systems for 58-edo, the (58,2,15) system is especially convenient in that every 7-limit interval spans at most 3 frets, and every interval in the 2.3.5.7.13.23 subgroupspans at most 4 frets. | Among the possible [[skip fretting]] systems for 58-edo, the (58,2,15) system is especially convenient in that every 7-limit interval spans at most 3 frets, and every interval in the 2.3.5.7.13.23 subgroupspans at most 4 frets. | ||
Here is where all the primes intervals lie: | Here is where all the primes intervals in the (58,2,15) system lie: | ||
{| class="wikitable" | {| class="wikitable" | ||
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From these, the location of any compound interval can be added by vector-summing the string-fret positions of the interval's factors. See [[Skip fretting system 48 2 13]] for details on how that's done. | From these, the location of any compound interval can be added by vector-summing the string-fret positions of the interval's factors. See [[Skip fretting system 48 2 13]] for details on how that's done. | ||
== Comparison to 31-edo == | |||
A 29-edo guitar is not much easier to play than a 31-edo guitar. In particular you'll need to use your fingernail to fret the highest notes. A skip-fretting system is substantially more confusing than one that includes every note. While 58-edo is more faithful to the harmonic series, 31-edo is nonetheless exceptionally good. | |||