Skip fretting system 53 3 17: Difference between revisions
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== The few difficult ratios have easy octave counterparts == | == The (few?) difficult ratios have easy octave counterparts == | ||
One notable drawback to this tuning that, because harmonics 3 and 7 lie on the same string, a harmonic 7:6 is difficult to play. (Doing so requires reaching back 13 frets, or 883 cents, and across three strings.) However, the ratio 7:3 (an octave wider than 7:6) is unusually easy to play, being 3 string crossings and 1 fret wide. Following the same logic, for every difficult interval R less than an octave, it can be shown that R plus an octave is easy to play. There seem to be very few such difficult ratios in the 15-limit. I (Jeff Brown) only see five: 7:6, 13:12, 14:13, 9:8, and 11:9. | One notable drawback to this tuning that, because harmonics 3 and 7 lie on the same string, a harmonic 7:6 is difficult to play. (Doing so requires reaching back 13 frets, or 883 cents, and across three strings.) However, the ratio 7:3 (an octave wider than 7:6) is unusually easy to play, being 3 string crossings and 1 fret wide. Following the same logic, for every difficult interval R less than an octave, it can be shown that R plus an octave is easy to play. | ||
There seem to be very few such difficult ratios in the 15-limit. I (Jeff Brown) only see five: 7:6, 13:12, 14:13, 9:8, and 11:9. | |||
[[Category:Skip fretting]] | [[Category:Skip fretting]] | ||