Kite Guitar: Difference between revisions
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Jason has since explored other tunings besides DADGAD and DGDGAD, such as E A vC# vG B ^^D (a 3:4:5:7:9:11 chord) and D A D vF# vC E (a 2:3:4:5:7:9 chord). He prefers placing the first fret 3 edosteps above the nut. This creates a half-fret offset without a capo. A capo on the 1st fret could remove the half-fret offset, if desired. | Jason has since explored other tunings besides DADGAD and DGDGAD, such as E A vC# vG B ^^D (a 3:4:5:7:9:11 chord) and D A D vF# vC E (a 2:3:4:5:7:9 chord). He prefers placing the first fret 3 edosteps above the nut. This creates a half-fret offset without a capo. A capo on the 1st fret could remove the half-fret offset, if desired. | ||
== Fretboard Charts (downmajor tuning) == | == Fretboard Charts (downmajor tuning) == | ||
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[[File:Chord chart 2.png|left|thumb]] | [[File:Chord chart 2.png|left|thumb]] | ||
[[File:Chord chart.png|thumb|none]] | [[File:Chord chart.png|thumb|none]] | ||
== Scale Shapes (downmajor tuning) == | == Scale Shapes (downmajor tuning) == | ||
Printable charts, one of scale degrees, the other of the three main heptatonic scales. In the latter, some scale degrees appear more than once. In general, use the one that agrees with the current chord.[[File:Scale chart.png|thumb|left]] | Printable charts, one of scale degrees, the other of the three main heptatonic scales. In the latter, some scale degrees appear more than once. In general, use the one that agrees with the current chord.[[File:Scale chart.png|thumb|left]] | ||
[[File:Scale chart 2.png|none|thumb]] | [[File:Scale chart 2.png|none|thumb]] | ||
There are many possible scales. Those listed here are select ones with a low prime limit and/or a low odd limit. | There are many possible scales. Those listed here are select ones with a low prime limit and/or a low odd limit. | ||
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|24/(24:22:20:18:16:15:14:13) | |24/(24:22:20:18:16:15:14:13) | ||
|} | |} | ||
== Relative and Absolute Tab == | |||
Since the fretboard is isomorphic, any interval can be expressed in '''relative tab''' as a vector. This is particularly useful for in-person oral instruction of chord shapes. For example, in the downmajor tuning, going up 2 strings and down 1 fret always takes you up a perfect 5th. In relative tab, that move is spoken as "plus-two, minus-one", and written as (+2,-1). The downmajor 2nd is at "oh, plus-three", (0,+3). The downmajor 3rd is at "plus-one, oh", (+1,0). | |||
Every interval appears in several places on the fretboard. Typically one is within a few frets and another one is many frets away. Mentally grouping four frets together into one dot facilitates large jumps up and down the fretboard. For example, the octave is (+3,+1) and also (+1,+14). A jump of 14 frets is a "3 and 2" jump, meaning 3 dots plus 2 frets. Thus the octave is at "plus-one, plus-three-and-two", or (+1,+3+2). The 5th at (0,+3+0) is spoken as "oh, plus-three-and-none", or alternatively "oh, plus-three-dots". The unison is plus-two minus-three-and-one, (+2,-3-1). An upward jump of 11 frets could be called either plus-two-and-three or plus-three-minus-one. Note that plus-three-oh means up three strings, but plus-three-and-none means up three dots. | |||
Notes can be referred to similarly in '''absolute tab''', which names each string/fret combination, i.e. each location on the fingerboard. For example, a low E on an 8-string is at "eighth and first", written (8th, 1st), meaning 8th string, 1st dot. This is particularly useful when one wants to tell another guitarist what key they are in, without having to use note names. For example, one might be in the key of "sixth, second and three", (6th, 2nd & 3) meaning 6th string, 3 frets above the 2nd dot. "Sixth and two" (6th, 2) means 6th string, 2nd fret. "Sixth and oh" (6th, 0) means the open 6th string. | |||
Unlike relative tab, absolute tab doesn't require isomorphism, and can be applied to any guitar, as long as the dot locations are agreed on. For 12-edo, dots are at frets 3, 5, 7, 9, 12, etc., thus the 10th fret is fourth-and-one. | |||
Note that in absolute tab, strings are numbered in descending order, but in relative tab, a positive move is an ascending move. Thus moving from the 3rd string to the 1st string is plus-two, not minus-two. | |||
== Tuning Instructions == | |||
The Kite guitar in downmajor tuning can be tuned by ear using the octaves at (+1,+3+2). The open 6th string should be an octave bellow the 5th string's 14th fret. This can be written as (6th, 0) = (5th, 3rd & 2). We can double-check the tuning using the unisons at (+2,-3-1). Thus the 6th string at the 13th fret should match the open 4th string, and (6th, 3rd & 1) = (4th, 0). Finally, the 3rd harmonic of the 6th string should match the open 1st string (technically it should be half a cent sharp of it). Here are the full tuning instructions for a 6-string guitar: | |||
{| class="wikitable" | |||
!octaves | |||
!unisons | |||
|- | |||
|(6th, 0) = (5th, 3rd & 2) | |||
|(6th, 3rd & 1) = (4th, 0) | |||
|- | |||
|(5th, 0) = (4th, 3rd & 2) | |||
|(5th, 3rd & 1) = (3rd, 0) | |||
|- | |||
|(4th, 0) = (3rd, 3rd & 2) | |||
|(4th, 3rd & 1) = (2nd, 0) | |||
|- | |||
|(3rd, 0) = (2nd, 3rd & 2) | |||
|(3rd, 3rd & 1) = (1st, 0) | |||
|- | |||
|(2nd, 0) = (1st, 3rd & 2) | |||
|(6th, 0) harmonic at 3rd dot = (1st, 0) | |||
|} | |||
In the upminor tuning, the octave is at (+1,+3+3), and (6th, 0) = (5th, 3rd & 3). The unison is at (+2,-2-3), and (6th, 2nd & 3) = (4th, 0). | |||
In the upmajor tuning, the octave is at (+1,+3+1), and (6th, 0) = (5th, 3rd & 1). The unison is at (+2,-3-3), and (6th, 3rd & 3) = (4th, 0). | |||
The Kite guitar can be tuned to a specific pitch using the [http://tallkite.com/misc_files/EDOtuner.txt.zip EDOtuner], a free strobe tuner for microtonal guitars (requires [https://www.reaper.fm/ Reaper] or [https://www.reaper.fm/reaplugs/ ReaJS]). Presets for the Kite guitar can be found here: http://tallkite.com/misc_files/js-MIDI_EDOtuner_txt.ini In Reaper, select Options/Show REAPER Resource Path and put the .ini file in the Presets folder. | |||
== Translating 12-edo Songs to 41-edo == | == Translating 12-edo Songs to 41-edo == | ||
Obviously, the Kite Guitar can do much more than simply play conventional music. But a good starting place is to take what you know and find it on the Kite Guitar. Translating 12-edo music is sometimes problematic but never impossible. Generally the translated version is an improvement, because it's so well tuned. | Obviously, the Kite Guitar can do much more than simply play conventional music. But a good starting place is to take what you know and find it on the Kite Guitar. Translating 12-edo music is sometimes problematic but never impossible. Generally the translated version is an improvement, because it's so well tuned. | ||
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=== [[Kite_Giedraitis's_Categorizations_of_41edo_Scales |Scales on the Kite Guitar]] === | === [[Kite_Giedraitis's_Categorizations_of_41edo_Scales |Scales on the Kite Guitar]] === | ||
The 5 categories are pentatonic, diatonic, semitonal, chromatic and microtonal. | |||
=== [http://tallkite.com/misc_files/The%20Kite%20Tuning.pdf The Kite Tuning (original announcement)] === | === [http://tallkite.com/misc_files/The%20Kite%20Tuning.pdf The Kite Tuning (original announcement)] === | ||
May 2019 paper announcing the discovery, 16 page pdf | May 2019 paper announcing the discovery, 16 page pdf | ||