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: | ||
| Line 8: | Line 8: | ||
! note | ! note | ||
! fretboard position | ! fretboard position | ||
|- | |||
| 0 steps = 1 % 1 | |||
| string 0 fret 0 | |||
|- | |- | ||
| 63 steps = 2 % 1 | | 63 steps = 2 % 1 | ||
| Line 44: | Line 47: | ||
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]] | |||