Kite Guitar: Difference between revisions
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== | == Overview == | ||
<big>'''<u>The main website at [https://KiteGuitar.com KiteGuitar.com] has audio, video, photos and scores</u>'''</big> | |||
This is a brief explanation, see also the longer one at [[Kite Guitar explanation for non-microtonalists]]. | This is a brief explanation, see also the longer one at [[Kite Guitar explanation for non-microtonalists]]. | ||
The Kite guitar (or bass, mandolin, banjo, etc.) combines the beauty of just intonation with the freedom of an equal temperament. Kite guitar is short for Kite-''fretted'' guitar. It has 41 notes per the octave instead of 12. [[41edo|41-tET | The Kite guitar (or bass, mandolin, banjo, etc.) combines the beauty of just intonation with the freedom of an equal temperament. Kite guitar is short for Kite-''fretted'' guitar. It has 41 notes per the octave instead of 12. [[41edo|41-tET aka 41-equal aka 41edo]] approximates 7-limit just intonation to within 3-6 [[cents]], and chords sound gorgeous! But a guitar with 41 frets per octave is physically challenging to play. Kite-fretting cleverly omits every other fret. Thus while the frets are closer together than a standard guitar, the Kite guitar is still quite playable. There are 20'''½''' frets per octave, thus it's about as playable as [[19edo|19-equal]] or [[22edo|22-equal]]. The interval between open strings is 13 steps of 41. Because 13 is an odd number, <u>all 41 pitches are present on the guitar</u>. Each string has only half of the pitches, but any adjacent pair of strings has all 41. | ||
Omitting half the frets (known as [[skip-fretting]]) in effect moves certain pitches to remote areas of the fretboard, and makes certain intervals difficult to play. Magically, it works out that the remote intervals are the ones that don't work well in chords, and the ones that aren't remote are the ones that do work well. For example, the sweet 5-limit major 3rd, a [[5/4]] ratio, is easily accessible, but the dissonant 3-limit major 3rd [[81/64]] isn't. (3-limit & 5-limit refer to the largest prime number in the frequency ratio.) | Omitting half the frets (known as [[skip-fretting]]) in effect moves certain pitches to remote areas of the fretboard, and makes certain intervals difficult to play. Magically, it works out that the remote intervals are the ones that don't work well in chords, and the ones that aren't remote are the ones that do work well. For example, the sweet 5-limit major 3rd, a [[5/4]] ratio, is easily accessible, but the dissonant 3-limit major 3rd [[81/64]] isn't. (3-limit & 5-limit refer to the largest prime number in the frequency ratio.) | ||
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The interval between open strings is usually a major 3rd, not a 4th. Thus new chord shapes must be learned. However, the Kite guitar is isomorphic, meaning that chord shapes can be moved not only from fret to fret but also from string to string. Thus there are far fewer shapes to learn. (Open tunings, which are non-isomorphic, are also possible.) Tuning in 3rds not 4ths reduces the overall range of the guitar. Thus a 7-string or even an 8-string guitar is desirable. | The interval between open strings is usually a major 3rd, not a 4th. Thus new chord shapes must be learned. However, the Kite guitar is isomorphic, meaning that chord shapes can be moved not only from fret to fret but also from string to string. Thus there are far fewer shapes to learn. (Open tunings, which are non-isomorphic, are also possible.) Tuning in 3rds not 4ths reduces the overall range of the guitar. Thus a 7-string or even an 8-string guitar is desirable. | ||
See also this '''<u>Now and Xen podcast</u>:''' [https://nowandxen.libsyn.com/29268-cents-kite-giedraitis-aaron-wolf-spencer-hargraves-jacob-collier 29.268¢-kite-giedraitis-aaron-wolf-spencer-hargraves-jacob-collier]. Kite Giedraitis and Aaron Wolf were hanging out one afternoon playing Kite guitar, when Spencer Hargraves (Terry Maple, Jock Tears, Redrick Sultan) texted that he had a gig that night in Portland. They invited him over, and excitedly filled him in on the Kite guitar. Later Spencer told them he had secretly recorded the conversation. | |||
'''<u>Now and Xen podcast</u>:''' [https://nowandxen.libsyn.com/29268-cents-kite-giedraitis-aaron-wolf-spencer-hargraves-jacob-collier | |||
Kite Giedraitis and Aaron Wolf were hanging out one afternoon playing guitar, when Spencer Hargraves (Terry Maple, Jock Tears, Redrick Sultan) texted that he had a gig that night in Portland. They invited him over, and excitedly filled him in on the Kite guitar. Later Spencer told them he had secretly recorded the conversation. | |||
== About 41-equal == | == About 41-equal == | ||
[[41-edo|41-equal]] approximates 7-limit [[just intonation]] very closely. Prime 3 is extremely accurate, and primes 5 and 7 are both flat, which means their errors partially cancel out in ratios such as 7/5. Unfortunately prime 11 is sharp, so the errors add up, and 11/10 is nearly 11¢ sharp. | [[41-edo|41-equal (aka 41edo)]] approximates 7-limit [[just intonation]] very closely. Prime 3 is extremely accurate, and primes 5 and 7 are both flat, which means their errors partially cancel out in ratios such as 7/5. Unfortunately prime 11 is sharp, so the errors add up, and 11/10 is nearly 11¢ sharp. | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
! prime | ! prime | ||