Kite Guitar: Difference between revisions

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Tuning the Kite guitar to EADGBE doesn't work, because the conventional chord shapes create wolves. For example, the usual E major chord shape 0 2 2 1 0 0 would translate to either 0 3 3 2 0 0 = E vB vE G# B E, or else 0 4 4 2 0 0 = E ^B ^E G# B E. Either way, the chord contains three wolf octaves and two wolf fifths. In addition, the major 3rd isn't 5/4 but 81/64.

There are two main types of tunings. '''Isomorphic tunings''' in 3rds lets you play 7-limit chords and chord progressions, and explore the 7-limit lattice. '''Open tunings''' let you explore the 13-limit tonality diamond.

There are two main types of tunings. '''Isomorphic tunings''' in 3rds lets you play 7-limit chords and chord progressions, and explore the 7-limit lattice. '''Open tunings''' such as DADGAD let you explore the 13-limit tonality diamond.

Isomorphic means "same shape", and there is only one shape to learn for any chord. The standard isomorphic tuning is the '''downmajor tuning''', in which adjacent open strings are tuned a downmajor 3rd apart. Alternative isomorphic tunings use an upminor 3rd or an upmajor 3rd. A semi-isomorphic tuning alternates downmajor and upminor 3rds~~, and~~ every chord has two shapes. ~~In addition, there are~~ open ~~tunings such as DADGAD~~.

Isomorphic means "same shape", and there is only one shape to learn for any chord. The standard isomorphic tuning is the '''downmajor tuning''', in which adjacent open strings are tuned a downmajor 3rd apart. Alternative isomorphic tunings use an upminor 3rd or an upmajor 3rd. A semi-isomorphic tuning alternates downmajor and upminor 3rds. The drawback is that every chord has two shapes. The advantage is that the open strings make a diatonic scale.

* [http://tallkite.com/misc_files/The%20Kite%20Tuning%20downmajor%20fretboard.pdf '''Fretboard chart for the downmajor tuning''']

* [http://tallkite.com/misc_files/The%20Kite%20Tuning%20upminor%20fretboard.pdf '''Fretboard chart for the upminor tuning''']

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[[File:The Kite Tuning 2.png|none|thumb|900x900px]]

This chart extends even further, showing the "rainbow zones" and the "off zones". When two guitarists play together, it's very natural for one to play chords in the lower rainbow zone, and another to solo in the higher rainbow zone. The open strings tend to be in an off zone, unless the tonic is fairly close to the nut, or else up around the 3rd or 4th dot. [[File:The Kite Tuning 3.png|none|thumb|900x900px]]

This chart shows the actual notes of an 8-string Kite guitar. The notes circled in red are the open strings of a 12-edo guitar. The ideal string gauges for this tuning are discussed in the "For Luthiers~~" section~~. Every 4th fret has a dot, and every 12th fret has a double dot. Three dots equals a 5th.

This chart shows the actual notes of an 8-string Kite guitar. The notes circled in red are the open strings of a 12-edo guitar. The ideal string gauges for this tuning are discussed in the [[Kite Guitar Information For Luthiers|Information For Luthiers]] page. Every 4th fret has a dot, and every 12th fret has a double dot. Three dots equals a 5th.

[[File:The Kite Tuning 4.png|none|thumb|900x900px]]

A 6-string guitar is usually tuned to the middle 6 strings of the full 8 strings:

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In 12-edo, all 12 keys are needed so that a vocalist can get within 50¢ of their optimal range. In 41-edo, using only these 24 keys, one can get within 30¢ of the optimal range. 30¢ from optimal is sufficient, 15¢ from optimal is overkill, so the other 17 keys aren't really needed. Here's all the notes of the mid-6 tuning:

[[File:Kite Guitar Fretboard for a 6-string.png|none|thumb|900x900px]]

[[File:Kite Guitar Fretboard for a 6-string.png|none|thumb|900x900px]]These charts show how the use of a half-fret capo between frets 1 and 2 changes the open strings, which can solve many arranging problems.

[[File:Fretboard chart w capo 1.png|none|thumb|900x900px]]

[[File:Fretboard chart w capo 2.png|none|thumb|900x900px]]

== Chord Shapes (downmajor tuning) ==

@@ Line 135: / Line 135: @@
 Tuning the Kite guitar to EADGBE doesn't work, because the conventional chord shapes create wolves. For example, the usual E major chord shape 0 2 2 1 0 0 would translate to either 0 3 3 2 0 0 = E vB vE G# B E, or else 0 4 4 2 0 0 = E ^B ^E G# B E. Either way, the chord contains three wolf octaves and two wolf fifths. In addition, the major 3rd isn't 5/4 but 81/64.
-There are two main types of tunings. '''Isomorphic tunings''' in 3rds lets you play 7-limit chords and chord progressions, and explore the 7-limit lattice.  '''Open tunings''' let you explore the 13-limit tonality diamond.
+There are two main types of tunings. '''Isomorphic tunings''' in 3rds lets you play 7-limit chords and chord progressions, and explore the 7-limit lattice. '''Open tunings''' such as DADGAD let you explore the 13-limit tonality diamond.
-Isomorphic means "same shape", and there is only one shape to learn for any chord. The standard isomorphic tuning is the '''downmajor tuning''', in which adjacent open strings are tuned a downmajor 3rd apart. Alternative isomorphic tunings use an upminor 3rd or an upmajor 3rd. A semi-isomorphic tuning alternates downmajor and upminor 3rds, and every chord has two shapes. In addition, there are open tunings such as DADGAD.
+Isomorphic means "same shape", and there is only one shape to learn for any chord. The standard isomorphic tuning is the '''downmajor tuning''', in which adjacent open strings are tuned a downmajor 3rd apart. Alternative isomorphic tunings use an upminor 3rd or an upmajor 3rd. A semi-isomorphic tuning alternates downmajor and upminor 3rds. The drawback is that every chord has two shapes. The advantage is that the open strings make a diatonic scale.
 * [http://tallkite.com/misc_files/The%20Kite%20Tuning%20downmajor%20fretboard.pdf '''Fretboard chart for the downmajor tuning''']
 * [http://tallkite.com/misc_files/The%20Kite%20Tuning%20upminor%20fretboard.pdf '''Fretboard chart for the upminor tuning''']
@@ Line 159: / Line 159: @@
 [[File:The Kite Tuning 2.png|none|thumb|900x900px]]
 This chart extends even further, showing the "rainbow zones" and the "off zones". When two guitarists play together, it's very natural for one to play chords in the lower rainbow zone, and another to solo in the higher rainbow zone. The open strings tend to be in an off zone, unless the tonic is fairly close to the nut, or else up around the 3rd or 4th dot. [[File:The Kite Tuning 3.png|none|thumb|900x900px]]
-This chart shows the actual notes of an 8-string Kite guitar. The notes circled in red are the open strings of a 12-edo guitar. The ideal string gauges for this tuning are discussed in the "For Luthiers" section. Every 4th fret has a dot, and every 12th fret has a double dot. Three dots equals a 5th.
+This chart shows the actual notes of an 8-string Kite guitar. The notes circled in red are the open strings of a 12-edo guitar. The ideal string gauges for this tuning are discussed in the [[Kite Guitar Information For Luthiers|Information For Luthiers]] page. Every 4th fret has a dot, and every 12th fret has a double dot. Three dots equals a 5th.
 [[File:The Kite Tuning 4.png|none|thumb|900x900px]]
 A 6-string guitar is usually tuned to the middle 6 strings of the full 8 strings:
@@ Line 177: / Line 177: @@
 In 12-edo, all 12 keys are needed so that a vocalist can get within 50¢ of their optimal range. In 41-edo, using only these 24 keys, one can get within 30¢ of the optimal range. 30¢ from optimal is sufficient, 15¢ from optimal is overkill, so the other 17 keys aren't really needed. Here's all the notes of the mid-6 tuning:
-[[File:Kite Guitar Fretboard for a 6-string.png|none|thumb|900x900px]]
+[[File:Kite Guitar Fretboard for a 6-string.png|none|thumb|900x900px]]These charts show how the use of a half-fret capo between frets 1 and 2 changes the open strings, which can solve many arranging problems.
+[[File:Fretboard chart w capo 1.png|none|thumb|900x900px]]
+[[File:Fretboard chart w capo 2.png|none|thumb|900x900px]]
 == Chord Shapes (downmajor tuning) ==