Kite Guitar: Difference between revisions

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To find the saddle compensation on a standard guitar, one compares the harmonic at the 12th fret with the fretted note at the 12th fret. For the Kite guitar, by a weird coincidence, one does the same! But the 12th fret now makes the 3rd harmonic, not the 2nd. Thus the two notes should be an 8ve apart, not a unison. To get a unison, when you fret the string, play the 2nd harmonic with your other hand. With your forefinger or middlefinger, touch the string midway between the 32nd and 33rd frets. Then stretch your hand and pluck with your thumb as close as you can get to the midpoint between your finger and the bridge. If this isn't feasible (e.g. with a bass guitar), you can capo the string at the 12th fret and use both hands to play the harmonic. And to be extremely precise, the fretted note should be 0.48¢ sharper than the harmonic.

== ~~Chords~~ (~~major~~ tuning) ==

== About 41-EDO ==

The 41 notes can be named with [[Ups and Downs Notation|ups and downs]]:

P1 ^1

vm2 m2 ^m2 ~2 vM2 M2 ^M2

vm3 m3 ^m3 ~3 vM3 M3 ^M3

v4 P4 ^4 ~4 vA4/d5 A4/^d5 ~5 v5 P5 ^5

vm6 m6 ^m6 ~6 vM6 M6 ^M6

vm7 m7 ^m7 ~7 vM7 M7 ^M7

v8 P8

This chart shows 41-edo in terms of 12-edo. "-ish" means ±1 edostep. The 12 categories circled in red correspond to the notes of 12-edo. The two innermost and two outermost intervals are duplicates.

[[File:41-edo spiral.png|673x673px]]

The same spiral, with notes not intervals. Again, the two innermost and two outermost notes are duplicates.

[[File:41-edo spiral with notes.png|frameless|730x730px]]

== Tunings ==

The standard tuning is the downmajor tuning, in which adjacent open strings are tuned a downmajor 3rd apart. Alternate tunings use an upminor 3rd or an upmajor 3rd. All three tunings are isomorphic, thus there is only one shape to learn for any chord. A "semi-isomorphic" tuning alternates downmajor and upminor 3rds. There are two shapes for every chord. In addition, there are open tunings such as DADGAD. See the Recordings and Videos section for more on this.

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 3 wolf octaves and two wolf fifths. In addition, the major 3rd isn't 5/4 but 14/11.

== Fretboard Charts (downmajor tuning) ==

This chart is in relative not absolute notation, meaning it shows intervals, not notes. Down at the bottom is P1, a perfect unison. This is the tonic of the scale, or the root of the chord. This chart shows all the intervals within easy reach of this note, up to an octave. There are four "rainbows": one of 2nds, one of 3rds, one of 6ths, and one of 7ths. These plus the 4th, 5th, 8ve, and a few other notes add up to 25 of the 41 notes. Every single ratio of [[odd-limit]] 9 or less appears here.

[[File:The Kite Tuning.png|none|thumb|416x416px]]

This chart is the same, but extends much further. Some ratios change in the higher octaves, e.g. 16/15 becomes not 32/15 but 15/7.

[[File:The Kite Tuning 2.png|none|thumb|1048x1048px]]

This chart extends even further, showing the "rainbow zones" and the "wolf 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.

If the tonic is the D at the 14th fret, the open strings are in a rainbow zone.

[[File:The Kite Tuning 3.png|none|thumb|1113x1113px]]

This chart shows the actual notes of an 8-string Kite guitar. A 6-string is usually tuned to the middle 6 strings of an 8-string. Every 4th fret has a dot, and every 12th fret has a double dot.

[[File:The Kite Tuning 4.png|none|thumb|1150x1150px]]

This shows all the notes, not just the natural ones. But it's too much work to memorize all this. Just learn where the 7 natural notes are, and learn your intervals. Since the open strings don’t work as well, one tends to think more in terms of intervals than notes.

[[File:The Kite Tuning 5.png|none|thumb|1131x1131px]]

== Chord shapes (downmajor tuning) ==

There are many chords to explore, but the obvious place to start is with those of [[odd-limit|intervallic odd-limit]] 9 or less. These chords are mostly subsets of the 4:5:6:7:9 pentad or the 9/(9:7:6:5:4) pentad. Thus most of these chords can be classified as either '''harmonic''' or '''subharmonic'''. The only exceptions are the ^m7 and vm7 chords (and their homonyms v6 and ^6), which are classified as '''stacked''' chords, because they are formed by stacking complimentary 3rds. (Some chords fall outside these 3 categories.)

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Another chord with an innate Ruyoyo comma is vM7sus4 (4 6 3 3), in which the vM7 is a 5/4 above the 5th, making it 15/8. But it's also 7/5 above the 4th, making it 28/15. Yet another is v7(b5) (4 4 1 1), in which the b5 is a 7/5, but also 9/8 above the 3rd (ratio 5/4), making it a 45/32.

~~== About 41-EDO ==~~

~~This chart shows 41-edo in terms of 12-edo. The 12 categories circled in red correspond to the notes of 12-edo. The two innermost and two outermost intervals are duplicates.~~

~~[[File:41-edo spiral.png|673x673px]]~~

~~The same spiral, with notes not intervals. Again, the two innermost and two outermost notes are duplicates.~~

~~[[File:41-edo spiral with notes.png|frameless|730x730px]]~~

~~== Fretboard Charts ==~~

This chart is in relative not absolute notation, meaning it shows intervals, not notes. Down at the bottom is P1, a perfect unison. This is the tonic of the scale, or the root of the chord. This chart shows all the intervals within easy reach of this note, up to an octave. There are four rainbows: one of 2nds, one of 3rds, one of 6ths, and one of 7ths. These plus the 4th, 5th, 8ve, and a few other notes add up to 25 of the 41 notes. Every single ratio of [[odd-limit]] 9 or less appears here.

~~[[File:The Kite Tuning.png|none|thumb|416x416px]]~~

~~This chart is the same, but extends much further. Some ratios change in the higher octaves, e.g. 16/15 becomes not 32/15 but 15/7.~~

~~[[File:The Kite Tuning 2.png|none|thumb|1048x1048px]]~~

This chart extends even further, showing the "rainbow zones" and the "wolf zones". When two guitarists play, it's very natural for one to play chords in the lower rainbow zone, and another to solo in the higher rainbow zone.

~~[[File:The Kite Tuning 3.png|none|thumb|1113x1113px]]~~

~~This chart shows the actual notes of an 8-string Kite guitar. A 6-string is usually tuned to the middle 6 strings of an 8-string. Every 4th fret has a dot, and every 12th fret has a double dot.~~

~~[[File:The Kite Tuning 4.png|none|thumb|1150x1150px]]~~

This shows all the notes, not just the natural ones. But it's too much work to memorize all this. Just learn where the 7 natural notes are, and learn your intervals. Since the open strings don’t work as well, one tends to think more in terms of intervals than notes.

~~[[File:The Kite Tuning 5.png|none|thumb|1131x1131px]]~~

== Translating 12-edo Songs to 41-edo ==

@@ Line 45: / Line 45: @@
 To find the saddle compensation on a standard guitar, one compares the harmonic at the 12th fret with the fretted note at the 12th fret. For the Kite guitar, by a weird coincidence, one does the same! But the 12th fret now makes the 3rd harmonic, not the 2nd. Thus the two notes should be an 8ve apart, not a unison. To get a unison, when you fret the string, play the 2nd harmonic with your other hand. With your forefinger or middlefinger, touch the string midway between the 32nd and 33rd frets. Then stretch your hand and pluck with your thumb as close as you can get to the midpoint between your finger and the bridge. If this isn't feasible (e.g. with a bass guitar), you can capo the string at the 12th fret and use both hands to play the harmonic. And to be extremely precise, the fretted note should be 0.48¢ sharper than the harmonic.
-== Chords (major tuning) ==
+== About 41-EDO ==
+The 41 notes can be named with [[Ups and Downs Notation|ups and downs]]:
+P1  ^1
+vm2  m2  ^m2  ~2  vM2  M2  ^M2
+vm3  m3  ^m3  ~3  vM3  M3  ^M3
+v4  P4  ^4  ~4  vA4/d5  A4/^d5  ~5  v5  P5  ^5
+vm6  m6  ^m6  ~6  vM6  M6  ^M6
+vm7  m7  ^m7  ~7  vM7  M7  ^M7
+v8  P8
+This chart shows 41-edo in terms of 12-edo. "-ish" means ±1 edostep. The 12 categories circled in red correspond to the notes of 12-edo. The two innermost and two outermost intervals are duplicates.
+[[File:41-edo spiral.png|673x673px]]
+The same spiral, with notes not intervals. Again, the two innermost and two outermost notes are duplicates.
+[[File:41-edo spiral with notes.png|frameless|730x730px]]
+== Tunings ==
+The standard tuning is the downmajor tuning, in which adjacent open strings are tuned a downmajor 3rd apart. Alternate tunings use an upminor 3rd or an upmajor 3rd. All three tunings are isomorphic, thus there is only one shape to learn for any chord. A "semi-isomorphic" tuning alternates downmajor and upminor 3rds. There are two shapes for every chord. In addition, there are open tunings such as DADGAD. See the Recordings and Videos section for more on this.
+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 3 wolf octaves and two wolf fifths. In addition, the major 3rd isn't 5/4 but 14/11.
+== Fretboard Charts (downmajor tuning) ==
+This chart is in relative not absolute notation, meaning it shows intervals, not notes. Down at the bottom is P1, a perfect unison. This is the tonic of the scale, or the root of the chord. This chart shows all the intervals within easy reach of this note, up to an octave. There are four "rainbows": one of 2nds, one of 3rds, one of 6ths, and one of 7ths. These plus the 4th, 5th, 8ve, and a few other notes add up to 25 of the 41 notes. Every single ratio of [[odd-limit]] 9 or less appears here.
+[[File:The Kite Tuning.png|none|thumb|416x416px]]
+This chart is the same, but extends much further. Some ratios change in the higher octaves, e.g. 16/15 becomes not 32/15 but 15/7.
+[[File:The Kite Tuning 2.png|none|thumb|1048x1048px]]
+This chart extends even further, showing the "rainbow zones" and the "wolf 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.
+If the tonic is the D at the 14th fret, the open strings are in a rainbow zone.
+[[File:The Kite Tuning 3.png|none|thumb|1113x1113px]]
+This chart shows the actual notes of an 8-string Kite guitar. A 6-string is usually tuned to the middle 6 strings of an 8-string. Every 4th fret has a dot, and every 12th fret has a double dot.
+[[File:The Kite Tuning 4.png|none|thumb|1150x1150px]]
+This shows all the notes, not just the natural ones. But it's too much work to memorize all this. Just learn where the 7 natural notes are, and learn your intervals. Since the open strings don’t work as well, one tends to think more in terms of intervals than notes.
+[[File:The Kite Tuning 5.png|none|thumb|1131x1131px]]
+== Chord shapes (downmajor tuning) ==
 There are many chords to explore, but the obvious place to start is with those of [[odd-limit|intervallic odd-limit]] 9 or less. These chords are mostly subsets of the 4:5:6:7:9 pentad or the 9/(9:7:6:5:4) pentad. Thus most of these chords can be classified as either '''harmonic''' or '''subharmonic'''. The only exceptions are the ^m7 and vm7 chords (and their homonyms v6 and ^6), which are classified as '''stacked''' chords, because they are formed by stacking complimentary 3rds. (Some chords fall outside these 3 categories.)
@@ Line 488: / Line 532: @@
 Another chord with an innate Ruyoyo comma is vM7sus4 (4 6 3 3), in which the vM7 is a 5/4 above the 5th, making it 15/8. But it's also 7/5 above the 4th, making it 28/15. Yet another is v7(b5) (4 4 1 1), in which the b5 is a 7/5, but also 9/8 above the 3rd (ratio 5/4), making it a 45/32.
-== About 41-EDO ==
-This chart shows 41-edo in terms of 12-edo. The 12 categories circled in red correspond to the notes of 12-edo. The two innermost and two outermost intervals are duplicates.
-[[File:41-edo spiral.png|673x673px]]
-The same spiral, with notes not intervals. Again, the two innermost and two outermost notes are duplicates.
-[[File:41-edo spiral with notes.png|frameless|730x730px]]
-== Fretboard Charts ==
-This chart is in relative not absolute notation, meaning it shows intervals, not notes. Down at the bottom is P1, a perfect unison. This is the tonic of the scale, or the root of the chord. This chart shows all the intervals within easy reach of this note, up to an octave. There are four rainbows: one of 2nds, one of 3rds, one of 6ths, and one of 7ths. These plus the 4th, 5th, 8ve, and a few other notes add up to 25 of the 41 notes. Every single ratio of [[odd-limit]] 9 or less appears here.
-[[File:The Kite Tuning.png|none|thumb|416x416px]]
-This chart is the same, but extends much further. Some ratios change in the higher octaves, e.g. 16/15 becomes not 32/15 but 15/7.
-[[File:The Kite Tuning 2.png|none|thumb|1048x1048px]]
-This chart extends even further, showing the "rainbow zones" and the "wolf zones". When two guitarists play, it's very natural for one to play chords in the lower rainbow zone, and another to solo in the higher rainbow zone.
-[[File:The Kite Tuning 3.png|none|thumb|1113x1113px]]
-This chart shows the actual notes of an 8-string Kite guitar. A 6-string is usually tuned to the middle 6 strings of an 8-string. Every 4th fret has a dot, and every 12th fret has a double dot.
-[[File:The Kite Tuning 4.png|none|thumb|1150x1150px]]
-This shows all the notes, not just the natural ones. But it's too much work to memorize all this. Just learn where the 7 natural notes are, and learn your intervals. Since the open strings don’t work as well, one tends to think more in terms of intervals than notes.
-[[File:The Kite Tuning 5.png|none|thumb|1131x1131px]]
 == Translating 12-edo Songs to 41-edo ==