Kite Guitar Exercises and Techniques by Kite Giedraitis

Revision as of 00:11, 22 December 2020 by TallKite (talk | contribs) (Added a new exercise, other changes too)

Exercises for the Kite Guitar by Kite Giedraitis, assumes the downmajor tuning. They are for a 6-string guitar, but can be adapted to a 7- or 8-string. Once you master them, there's no need to practice them further, because you'll naturally reinforce these skills in the course of singing and playing actual songs.

Exercises for Players

There are plenty of guitar exercises to make your fingers more agile or strong. They all apply to the Kite Guitar. These exercises help you navigate 41edo better.

Vocal Exercises

The best way to internalize 41-edo is to sing 41-edo! Get in the habit of singing what you play and playing what you sing.

Beginning exercises:

  • Start off by just matching pitch with various guitar notes.
  • Play a simple melody and sing along with the guitar.
  • Play and sing this melody again, but sing each note first and play it afterwards, to check yourself.
  • Play a chord and sing it as an arpeggio.
  • Play this chord again, but omit one note, and sing the missing note. Play the note to check yourself.
  • Make up your own exercises!

Advanced exercises:

  • Play and sing a chromatic melody (steps of one fret).
  • Play and sing a microtonal melody (steps of a half-fret).
  • Play and sing a melody that uses the mid 2nd and/or the mid 3rd.
  • Play and sing a zigzag chromatic melody: P1 vm2 P1 ^m2 P1 vM2 P1 ^M2 P1.
  • Play and sing a zigzag microtonal melody: P1 ^1 P1 vm2 P1 m2 P1 ^m2 P1 ~2 P1 vM2 P1 M2 P1.

As before, start by singing along with the guitar, then try singing first and checking yourself later with the guitar.

Parallel Thirds

For all your favorite scales, play ascending and descending lines harmonized in 3rds. If the two notes lie on the same string, use the scale's innate fuzziness to move one of the notes a half-fret up or down. The fuzzy notes are bolded:

downmajor scale in descending 3rds
high voice vE D C vB vA G F vE
low voice C vB vA G F vE vD C

Upminor with a raised 7th at the end, a sort of "macro-fuzziness":

upminor scale in descending 3rds
high voice ^Eb D C ^Bb ^Ab G ^F ^Eb D vB C
low voice C ^Bb ^Ab G F ^Eb D C vB G G

Equi-minor is reminiscent of Maqam Bayati:

equi-minor scale in descending 3rds
high voice ^Eb ^^Db C ^Bb ^^Ab G ^F ^Eb
low voice C ^Bb ^Ab G ^F ^Eb ^^Db C

For pentatonic scales, play parallel "penta-3rds", which span 3 notes of the pentatonic scale. For downmajor, these are mostly 4ths.

dscending downmajor penta-3rds
high voice vE vD C vA G vE vD C
low voice C vA G vE D C vA G

Downminor penta-4ths are mostly 5ths:

descending downminor penta-4ths
high voice vEb C vBb G vF vEb C
low voice G F vEb C vBb G G

The harmonic and subharmonic pentatonic scales aren't fuzzy. They have a pleasing variety of intervals.

descending harmajor penta-3rds
high voice vE D C vBb G vE D C
low voice C vBb G vE D C vBb G

Major and minor modes of the subharmonic pentatonic scale:

descending subharmajor penta-3rds
high voice ^E D C ^Bb G ^E D C
low voice C ^Bb G ^E D C ^Bb G
descending subharminor penta-3rds
high voice ^Eb C ^A G F ^Eb C
low voice ^A G F ^Eb C ^A G

This decatonic scale has deca-4ths that are mostly downmajor 3rds.

twin downminor scale in descending deca-4ths
high voice vE vEb vvD C vB vBb ^Ab G Gb vF vE vEb vvD C
low voice C vB vBb ^Ab G Gb F vE vEb vvD C vB vBb G

Half-fret Bends

The fact that each 41-edo note only occurs on every other string makes certain scales awkward to play, for example scales with pythagorean or neutral 3rds. But for 5-limit or 7-limit scales of low odd-limit, it usually works out that you're forced to move to the next string just about when you would want to anyway. For example, the downmajor scale is P1 -- M2 - vM3 - P4 -- P5 - vM6 -- vM7 - P8. The double dashes indicate where you have to move up a string.

There are however two problematic scenarios:

  • You're playing the 4th of the scale and you want to hammer on or slide up to the 5th.
  • You run out of strings. You're playing the 4th on the top string, and you want to go up to the 5th (but see also unison leaps below)

The solution to both is to move 3 frets up from the 4th to the down-5th and do a half-fret bend. It's a good idea to practice doing accurate half-fret bends. Here are some exercises that involve playing an off-perfect interval and bending it into tune. No need to practice them all, just find one or two you like.

1) Play a note on the 6th fret and simultaneously play the next highest string open. This is an up-unison. Bend the 6th fret note up a half-fret to make it a unison.

2) Same as #1, but played up the neck. Put your 4th finger up the neck far enough that 6 frets is not too big a stretch. Put your 1st finger 1 string higher and 6 frets back. Bend the lower (4th finger) note up.

3) Same as #2, but your 1st finger is 7 frets back. Bend the higher (1st finger) note up.

4) Put your 1st finger on any fret. Put your 4th finger 5 frets higher on the next string up. Play as an interval, this is a down-5th. Now bend the higher (4th finger) note up half a fret to make a good 3/2.

5) Put your 4th finger on any fret. Put your 1st finger 2 strings higher and 5 frets lower. This is a down-4th, so bend the higher (1st finger) note up half a fret.

6) Same as #3, but your 1st finger is only 4 frets lower to make an up-4th. Now bend the lower (4th finger) note up.

In relative tab, these exercises are unison = (+1,-6.5), 5th = (+1,+5.5) and 4th = (+2,-4.5).

Exactly how far you have to push the string sideways depends on your location on the neck. The most amount of travel is needed halfway up the neck, around the 5th dot. Closer to the nut or the bridge, you'll need less travel.

The Circle of 5ths

The most common intervals for root movements are 4ths and 5ths, so it's good to practice moving by these intervals. This exercise walks you through the entire circle of 41 frets.

First play the circle as a bass line:

  • Play a low Ab, 6th string 1st dot.
  • Move up a 4th to Db. In relative tab, the move is (+1,+2). This puts you on the 5th string.
  • Move up a 4th the same way to Gb. This puts you on the 4th string.
  • Move down a 5th by (-2,+1) to return to the 6th string.
  • Continue cycling through the lowest 3 strings, 6th --> 5th --> 4th --> 6th, until you reach the 4th dot.
  • Move down a 5th by leaping down 3 dots, which is (0,-12) or (0,-3+0).
  • Continue as before, cycling through the lowest 3 strings and steadily moving up.
  • Whenever you reach the 4th dot (or overshoot it by 1 fret), leap down as before.

After 5 leaps, you should return to where you started.

To sum up, there are three valid moves: (+1,+2), (-2,+1) and (0,-3+0). This exercise moves up by 4ths and down by 5ths, i.e. fourthward in the circle. There is a complimentary exercise that moves fifthwards. Starting at Ab, leap up 3 dots to Eb. Then slowly walk down, cycling through the strings 6th --> 4th --> 5th --> 6th. Once you reach the 1st dot, leap up again. The moves are (-1,-2), (+2,-1) and (0,+3+0).

Once you get the general idea, test yourself by counting the notes out loud as you go. If you say (or sing) "one" for Ab, "two" for the next note, etc., you should return to Ab just as you say "42", which is after all The Answer to the Ultimate Question of Life, the Universe, and Everything!

Get to the point where you can play this 42-note bass line in under 15 seconds. The final step is to play an actual chord over each of these bass notes. It can be a v7 chord or an ^m7 chord, or really any chord you want to practice. Use an open voicing for root-6 chords, a close voicing for root-4 chords, and either for root-5 chords.

If you're really obsessed with music theory, rather than counting to 42, say the actual note names:

Fourthwards:

  • Ab Db Gb=vF#
  • vB vE vA vD vG vC vF vBb=^^A
  • ^^D ^^G ^^C ^^F ^^Bb=vvB
  • vvE vvA vvD vvG vvC=^B
  • ^E ^A ^D ^G ^C ^F ^Bb ^Eb=D#
  • G# C# F# B E A D G C F Bb Eb Ab

Fifthwards:

  • Ab Eb Bb F C G D A E B F# C# G# D#=^Eb
  • ^Bb ^F ^C ^G ^D ^A ^E ^B=vvC
  • vvG vvD vvA vvE vvB=^^Bb
  • ^^F ^^C ^^G ^^D ^^A=vBb
  • vF vC vG vD vA vE vB vF#=Gb
  • Db Ab

Because 41 is a prime number, any one of 41edo's intervals will generate a similar circle (except the octave of course).

Leaping by 5ths, 8ves and Unisons

Being able to leap up or down by 3 dots can be useful when chording (see the "I Will Survive" translation). Again, start with a bass line, and add chords over them later.

  • Play a low Ab (6th string 1st dot), leap up 3 dots to Eb, and leap back down.
  • Move up one fret to vvA, leap up to vvE and back down.
  • Move up to A, leap up and down, move up to ^^A, leap, etc.

Try to get a steady rhythm going. Keep going up fret by fret until you run out of room, then move down fret by fret. A complimentary exercise starts at Eb on the 4th dot, leaps down to Ab and back up. Then go up one fret and continue.

Leaping up an octave is useful when switching from chording to soloing. Start at the low Ab, leap up (+1,+3+2) to Ab and back down. Go up 1 fret and continue. A complimentary exercise starts high, leaps down and leaps back up. Then go up 1 fret and continue.

Leaping up to the unison is useful when you are soloing and you run out of strings. For example, you're playing the 4th of the scale on the top string and not too far up the neck, and you want to go up to the 5th. Start on Eb (1st string 1st dot), leap up to the same Eb on the 3rd string, and leap back down. The leap is (-2,+3+1). Move up a fret and repeat. Keep moving up a fret until you run out of frets.

A complimentary exercise is for when you are on the lowest string and high up the neck, and you want to go further down. Start at the highest fret of the 6th string, leap down by (+2,-3-1), and leap back up. Move down a fret and repeat.

Combination Exercises

These are not for the faint of heart!

If you have enough frets, you can combine any leaping exercise with the circle of 5ths exercise. For example, start at Ab, leap up a 5th or an 8ve, leap back, move up a 4th to Db, leap up and down, move on to Gb, etc. Or start on Ab, leap up an 8ve, move up a 4th to Db, leap down, move up a 4th to Gb, etc.

You can leap up an octave using a half-fret bend by a move of (+2,+7.5). Finally, you can combine this with the circle of 5ths exercise by repeatedly leaping up, leaping down, and moving up a 4th.

You can add a vocal exercise to all this by singing what you play.

Quarter-fret Bends, Sixth-fret Bends, etc.

When soloing over an ^m7 chord, a sustained 4th creates an innate-comma pentad. The effect is subtle but noticeable, and once you hear it, it's hard to unhear. The comma can be tamed by splitting the difference. Play the plain 4th, then bend it up a quarter-fret to a half-up 4th. The bend needn't be exact. Unlike bending the down-5th a half-fret up to the 5th, the end result isn't to lock into a specific ratio. In fact, rather than play a static half-up 4th, a moving bend that starts at the plain 4th and goes up past the half-up 4th and then back down sounds better. This is called a fuzzy 4th, specifically an upfuzzy 4th. But over a vm7 chord, we want a downfuzzy 4th. Either play the down 4th and bend it up, or play the plain 4th and bend it down (harder, see below).

Any chord that has two notes an upmajor or downmajor 2nd apart will create a fuzzy note:

if the chord has both... what to bend example chords
plain upped or downed
root minor 7th the perfect 4th ^7 v7 ^m7 vm7 ^d^7 vdv7
4th minor 3rd the minor 7th ^m,4 vm,4
5th major 6th the major 2nd ^6 v6 ^m6 vm6
9th major 3rd the major 6th ^,9 v,9 ^M9 vM9

Both the top and bottom rows of the table apply to the dominant 9th chord, thus it has two fuzzy notes.

The next use of quarter-fret bends is less essential. One can hide pitch shifts by sharpening an entire chord by some fraction of an edostep. Obviously it won't work if a chord uses open strings. Play a progression with a pitch shift, e.g. Iv - vVI^m - vII^m - Vv7 - Iv. The 3rd chord has vD and the 4th chord has D. Bend the entire 3rd chord up a quarter-fret by ear, so that its vD becomes a half-down D. This creates another pitch shift, because the chord now has a half-down A which differs from the previous chord's vA. However, two small 15¢ shifts are better than one large 30¢ one. Alternatively, bend the 2nd chord up a sixth-fret and the 3rd chord up a third-fret, to create three pitch shifts of 10¢ each.

To practice such bends, do one of the half-fret bend exercises in two or three stages.

In 41-edo, 5-over intervals like 5/4 and 5/3 are about 6¢ flat. This issue is even more subtle than the innate-comma pentad, but still noticeable. One can correct this by applying a tenth-fret bend to certain notes of the chord. This sounds hard, but fortunately there are only a few chord shapes to apply this to. One quickly gets in the habit of "leaning on" certain notes in these shapes.

For example, in a downmajor chord in R-5-3 voicing, bend the 3rd up slightly with your pinkie. Listen closely for interference beats that slow down as you bend up. It may help to play the actual coinciding harmonics first. If your chord is 4 x 3 x 5, play matching harmonics at 11 x x x 26, and also at x x 10 x 17. Except for the last one at fret 17, touch the string just behind the fret. IOW fret 11 is really fret 10.5. For a 4 x 3 5 5 voicing, to bend the 3rd up, you'll need to pull your pinkie down towards the treble side of the fretboard. For a 1st inversion x 4 3 5 x voicing, push your finger up towards the bass side. It's rather difficult to bend the 3rd in a close 4 4 3 5 voicing.

It's also possible to correct the 6¢ sharpness of 5-under intervals by bending a note slightly down. Press the string firmly against the fingerboard and push it towards the bridge. This is harder to do by the nut, because bending down stretches the string behind the fret, and there's very little to stretch there.

Exercises for Composers and Arrangers

These are not playing exercises for your fingers, but musical exercises for your mind.

Interesting Root Movements

Given a chord, what chord can you move to that has at least 2 notes in common? Root movement intervals tend to be not plain. Harmonic chords tend to be followed by subharmonic chords and vice versa. The ^9 chord can often have its root omitted, becoming a vdv7 or ^m6 chord. These tables list only some of the possibilities.

from the down7 chord
common tones progression guitar tab notes
root (of I chord) Iv7 -- IVv7 4 - 3 1 5 - 6 6 5 3 only 1 note in common, but too basic to leave out
5th Iv7 -- Vv7 - 6 6 5 3 4 - 3 1 5 ditto
Iv7 -- V^9 - 6 6 5 3 4 5 3 2 2 ditto, two nice 1-fret voice movements
root & 5th Iv7 -- IVv9 4 - - 1 5 4 - 6 6 5 3 4
Iv7 -- IV^9 4 - - 1 5 4 - 6 7 5 4 4 one tiny half-fret voice movement
Iv7 -- I^9 4 - 3 1 5 4 5 3 2 2 less satisfying because the root doesn't change
Iv7 -- vVI^d^7 - 4 4 3 1 5 - 2 3 5 vVI chord can "flip" to a IVv9noR chord
root & 3rd Iv7 -- vII^9 or #IVvdv7 4 - 3 1 5 (7) 8 6 5 5 leads nicely into the IVv7 chord
3rd & 5th Iv7 -- vVI^9 or #Ivdv7 - 4 4 3 1 (5) 6 4 3 3 #Ivdv7 leads nicely into the vVI^m7 chord
root & 7th Iv7 -- vbVI^9 or

Iv7 -- vbIII^m6

- 4 4 3 1 3 4 2 1 1 vbVI^9 leads nicely into the Vv7 chord
4 - - 1 5 4 - - 2 - 5 3 2 2 vbIII^m6 leads nicely into the IVv7 chord
5th & 7th Iv7 -- vbIII^9 or vbVII^m6 4 - - 1 5 4 0 (2) 3 1 0 0 leads nicely into the Vv7 chord
3rd & 7th Iv7 -- ^VII^9 or vIIIvdv7 4 - 3 1 5 (3) 4 2 1 1 a weird one
from the upminor7 chord
common tones progression guitar tab notes
5th I^m7 -- Vv7 - 6 5 5 4 4 - 3 1 5 only 1 note in common, but too basic to leave out
root & 5th I^m7 -- ^VIvm7 - 4 3 3 2 6 4 5 3 weird but cool
root & 3rd I^m7 -- IV^m7 4 - 3 2 4 - 6 5 5 4
I^m7 -- ^bVIv7 - 4 3 3 2 4 - 3 1 5 nice
3rd & 7th I^m7 -- ^bIIIvm7 4 - 3 2 4 - 3 1 2 0 weird but cool
5th & 7th I^m7 -- V^m7 - 4 3 3 2 2 - 1 0 2
root, 3rd & 5th I^m7 -- IV^9 4 - 3 2 4 4 - 6 7 5 4 4 one of my favorites, even though 3 common tones

Harmonizing Chromatic Melodies

Write a melody with steps of vm2 (one fret), with perhaps an occasional m2 for string-hopping. Write chords under it. See if you can improve on my attempt:

x 2 4 4 3 x -- ^^Ebv

3 x 2 4 4 x -- ^Gv7

x 4 6 6 5 x -- vFv

x 5 4 4 6 x -- ^C^m

x 2 4 4 x 1 -- ^^Ebv7

5 x 4 2 6 x -- ^^Abv7

x 0 2 3 5 x -- ^D^6

3 x 2 4 4 x -- ^Gv

Rotations aka Inversions

In music theory, the word inversion has distinct, but related, meanings when applied to intervals, chords, voices (in counterpoint), and melodies. These exercises cover melodic-style inversions, i.e. flipping things upside down. To avoid confusion, we'll call them rotations, for reasons that will become obvious.

Motivating Example

Take the classic V7 - I chord progression and tune it 7-limit:

x x 4 4 3 1

x x 4 6 6 5

We can derive an entirely different, yet vaguely similar chord progression from this one via rotation:

x x 8 6 5 5

x x 4 3 3 5

I took something nice, but a bit of a cliche, rotated it, and found something else nice, but fresh and new! And I didn't need any music theory to do that. I found it purely mechanically, without thinking about intervals or chords at all. I just looked at my fingers and did some "spatial math".

If we want, we can apply music theory after the fact. The chords are IV^m6 - I^m, or equivalently ^IIvdv7 - I^m. The original chord progression has a diminished 5th resolving inward to a downmajor 3rd, giving a feeling of tension and resolution. The new one does too. The original chord progression has 3 voices moving by 2nds in parallel motion. The new one does too. In both progressions, one voice stays still, providing oblique motion. Different, yet similar.

Rotating an Interval

Let's start with an easy exercise. Play any interval smaller than an octave. Now move the lower note up an octave for a new interval, the octave inverse.

interval tab ---> tab interval
vM3 x x 5 5 x x x x x 5 x 6 ^m6

Notice how major intervals become minor and vice versa. Augmented becomes diminished and up becomes down. But not everything changes. Perfect stays perfect. 3-limit remains 3-limit, 5-limit remains 5-limit, 7-limit remains 7-limit, and 11-limit remains 11-limit. A highly consonant interval remains at least fairly consonant. A highly dissonant interval won't improve much.

This is not about chord inversions in the sense of putting the 3rd or 5th in the bass. Rather it is about flipping all the notes upside-down.

Rotating a Melody

Play a short stepwise melody. Next, play it reversing the direction of each step. Ascending becomes descending and vice versa.

note tab ---> tab note
A x x x 7 x x x x x 7 x x A
B x x x x 4 x x x 10 x x x G
vC# x x x x 7 x x x 7 x x x ^F
B x x x x 4 x x x 10 x x x G
A x x x 7 x x x x x 7 x x A

Look at the shape the first melody traces out on the fretboard. It's a long skinny triangle. We move along each of the two long sides, then retrace our steps.

Now look at the new melody. The long skinny triangle has been rotated 180 degrees. We take the same path along this new triangle.

Play any scale, going from the tonic up to the octave. Next, start at the fifth of the scale and go downward to the low fifth. The C major scale becomes C minor, C dorian becomes C mixolydian, and C lydian becomes C phrygian. C locrian rotates to itself! Up becomes down: C upminor becomes C downmajor. Again, the prime limit doesn't change.

In general, when rotating, the old tonic becomes the new fifth, and the old fifth becomes the new tonic. This tends to preserve the original key.

Play an actual melody from a song you know. Consider the interval from the tonic up to the starting note. From the fifth, go down by this interval. Wherever you land is the starting note for the rotated melody. For example, Mary Had A Little Lamb goes vM3 M2 P1 M2 vM3 vM3 vM3. The first note is vM3. P5 minus vM3 is ^m3. So start at ^m3 to get ^m3 P4 P5 P4 ^m3 ^m3 ^m3. Note that a pentatonic melody is still pentatonic after rotation.

Rotating a Chord

Play any chord in root position and close voicing as an ascending arpeggio. Think of this arpeggio as a melody. Starting on the highest note, rotate the melody to get a descending arpeggio. You should end up on the lowest note of the original chord. This new arpeggio is your rotated chord. Example: a v7 chord 4 4 3 1 rotates to 4 2 1 1. Again, look at the fretboard shapes. Everything got rotated 180 degrees.

Try this with other chords. Some chords rotate to themselves!

What about triads?

chord voicing tab tab chord voicing
Dv close x 8 8 7 x x ---> x 8 7 7 x x D^m close
Dv add-8 x 8 8 7 9 x ---> x 8 10 9 9 x A^m low-5 add-5

It matters whether we include the octave or not. We get the same chord type, upminor, but different roots and different voicings. To keep the same root, follow our rule: the root becomes the 5th and vice versa. x 8 8 7 9 x becomes 6 8 7 7 x x, and Dv becomes D^m. The old voicing was close, going up from the root. The new voicing is also close, but now it goes down from the 5th.

What about open voicings?

chord voicing tab tab chord voicing
Dvm hi-3 add-8 x 8 x 7 9 7 ---> x 8 6 8 x 7 vBb^ low-3,5 add-5

What a mess! An unrelated root, and not a very nice voicing. So for now, don't worry about the new voicing or the new root. Just focus on the new chord type.

  • major rotates to minor
  • up rotates to down
  • harmonic chords rotate to subharmonic chords
  • stacked chords rotate to stacked chords
  • the prime limit doesn't change

7th chords rotate to 6th chords, but every 6th chord has a 7th chord homonym. So 7th chords can rotate to 7th chords, as in out first example 4 4 3 1 --> 4 2 1 1. You can think of this as Cv7 becomes vEb^m6, or as Cv7 becomes Cvdv7.

Rotating a Chord Progression

First rotate each individual chord type. Next, play the roots of each chord as a bass line. Voice each root in whatever octave you want. Rotate the bass line like you would rotate any melody. Don't change the starting note, except perhaps by an octave. Finally, play the rotated chords using the rotated bass line.

chord progression bass line of roots new bass line new roots
Iv - vVI^m - IVv - Vv P8 - vM6 - P4 - P5 ---> P1 - ^m3 - P5 - P4 I - ^bIII - V - IV

Since downmajor rotates to upminor and vice versa, we get I^m - ^bIIIv - V^m - IV^m.

Rotating an Entire Song

(to do)

All these exercise apply to 12-edo, or any tuning system, but unless your guitar is isomorphic, the fretboard shapes won't simply rotate.