Skip fretting system 63 3 17: Difference between revisions

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One way to play 63-edo on a 21-edo guitar is to tune each pair of adjacent strings 17\63 apart. That's about 323.8 cents, or 8.2 cents sharp of 6:5.
One way to play 63-edo on a 21-edo guitar is to tune each pair of adjacent strings 17\63 apart. That's about 323.8 cents, or 8.2 cents sharp of 6:5.


Among the possible skip fretting systems for 63-edo, the (63,3,21) system is especially convenient in that every 11-limit interval, and in fact every interval in the 2.3.5.7.11.17.29.31 subgroup, spans at most four frets.
Among the possible [[skip fretting]] systems for 63-edo, the (63,3,21) system is especially convenient in that every 11-limit interval, and in fact every interval in the 2.3.5.7.11.17.29.31 subgroup, spans at most four frets.


Here is where all the primes intervals lie:
Here is where all the primes intervals lie:
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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.
[[Category:Skip fretting]] [[Category:Guitar]] [[Category:63edo]]