Skip fretting system 72 2 27: Difference between revisions
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72-edo approximates the 11-limit astoundingly well, and is quite good in higher limits too. 36-edo, by contrast, has a 5:4 that's 14 cents sharp (identical to 12-edo's), and an 11:8 that's 15 cents sharp. | 72-edo approximates the 11-limit astoundingly well, and is quite good in higher limits too. 36-edo, by contrast, has a 5:4 that's 14 cents sharp (identical to 12-edo's), and an 11:8 that's 15 cents sharp. | ||
But whereas a 72-edo guitar would not be, a 36-edo guitar is playable. Neil Haverstick does it. | But whereas a 72-edo guitar would not be, a 36-edo guitar is playable. [[Neil Haverstick]] does it. | ||
Among the possible [[skip fretting]] systems for 72-edo, the 27\72 x 2\72 (or equivalently, 4.5\12 x 1\36) system is especially convenient because every ratio in the 31-limit group sans 21 can be played within a block 4 strings wide by 17 frets long. (17 frets of 36-edo is shorter than 6 frets of 12-edo.) | Among the possible [[skip fretting]] systems for 72-edo, the 27\72 x 2\72 (or equivalently, 4.5\12 x 1\36) system is especially convenient because every ratio in the 31-limit group sans 21 can be played within a block 4 strings wide by 17 frets long. (17 frets of 36-edo is shorter than 6 frets of 12-edo.) | ||
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The same advantage holds for the 29\72 x 2\72 skip-fretting system, but fourths on adjacent strings are hard to play in that system, because the player must bend one note while playing an adjacent string at the same fret. | The same advantage holds for the 29\72 x 2\72 skip-fretting system, but fourths on adjacent strings are hard to play in that system, because the player must bend one note while playing an adjacent string at the same fret. | ||
Here is where all the | Here is where all the [[prime]] intervals through 31 lie: | ||
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