Kite Guitar: Difference between revisions

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v8  P8  
v8  P8  
The most dissonant intervals are the off-perfect ones ^1, v4, ^4, v5, ^5 and v8.


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.
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.
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But anyway, the two designs can coexist on the same fretboard by simply inserting an extra fret between the 1st and 2nd instead of moving the 2nd fret lower as I have done, and by varying the tuning of the open strings as you please. It's a fantastic way to access the resources of 41edo on a guitar, without having an absurd number of very closely-spaced frets!"
But anyway, the two designs can coexist on the same fretboard by simply inserting an extra fret between the 1st and 2nd instead of moving the 2nd fret lower as I have done, and by varying the tuning of the open strings as you please. It's a fantastic way to access the resources of 41edo on a guitar, without having an absurd number of very closely-spaced frets!"


Possible method for implementing the half-fret capo trick: An extra fret slot is cut to allow insertion of a temporary fret in between the 1st and 2nd (permanent) frets. The slot stops short of the treble side of the fretboard. So gravity holds it in place, plus of course the capo. The temporary fret has the barbs on the side of the tang filed off. The extra slot is a bit wider, so the fret can be pulled out easily. It goes in from the side, under the strings, so the strings don't need to be loosened. Should be able to insert it and remove it on stage between songs. The fret is a bit longer, sticks out about 1/2 inch, so that you can pull it out easily. There is a hole or something in the sticking-out part, to attach a wire or something, so that the fret can be attached to the capo. Keeps one from losing it.
How to implement the half-fret capo trick: An extra fret slot is cut to allow insertion of a temporary fret in between the 1st and 2nd (permanent) frets. The slot stops short of the treble side of the fretboard. So gravity holds it in place, plus of course the capo. The temporary fret has the barbs on the side of the tang filed off. The extra slot is a bit wider, so the fret can be pulled out easily. It goes in from the side, under the strings, so the strings don't need to be loosened. It can be inserted and removed on stage between songs. The fret is a bit longer, sticks out about 1/2 inch, so that you can pull it out easily.  


== Fretboard Charts (downmajor tuning) ==
== Fretboard Charts (downmajor tuning) ==
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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.
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|1000x1000px]]
[[File:The Kite Tuning 2.png|none|thumb|1000x1000px]]
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. The open strings tend to be in a wolf zone, unless the tonic is fairly close to the nut, or else up around the 14th fret. [[File:The Kite Tuning 3.png|none|thumb|1113x1113px]]
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 14th fret. [[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. 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. A 6-string is usually tuned to the middle 6 strings of an 8-string. 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.   
[[File:The Kite Tuning 4.png|none|thumb|1036x1036px]]
[[File:The Kite Tuning 4.png|none|thumb|1036x1036px]]
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1 . 4 (2) 3 1
1 . 4 (2) 3 1
|1 . 4 (2) 1 1
|1 . 4 (2) 1 1
|
|???
|}
|}


=== Innate-comma chords ===
=== Innate-comma chords ===
The chords covered so far include every chords that map to a JI chord of intervallic odd-limit 9. However there are some Kite guitar chords that don't, although their individual intervals do. These chords are called [[Dyadic chord|innate-comma chords aka essentially tempered chords]]. Almost every easily reachable interval on the fretboard is odd-limit 9. The only exceptions are ~4, ~5, vM7, ^M7, vm9 and ^m9. Thus the majority of Kite guitar chord shapes are intervallic odd-limit 9.  
The chords covered so far include every chord that map to a JI chord of intervallic odd-limit 9. However there are many Kite guitar chords that don't, although their individual intervals do. These chords are called [[Dyadic chord|innate-comma chords aka essentially tempered chords]]. Almost every easily reachable interval on the fretboard is odd-limit 9. The only exceptions are ~4, ~5, vM7, ^M7, vm9 and ^m9. Thus the majority of Kite guitar chord shapes are intervallic odd-limit 9.  


For example, the downadd7no5 chord has 5/4 and 16/9. The interval from 5/4 up to 16/9 is 64/45. But because 41edo tempers out the [[225/224|Ruyoyo]] comma of only 8¢, 64/45 is equivalent to 10/7. The high-3 voicing inverts this into an even smoother 7/5. This dom7 chord is often appropriate for translating 12-edos V7 -- I cadence: relaxed but not too relaxed. Note that adding the 5th would increase the odd-limit to 27. In chord names, alterations are enclosed in parentheses, and additions are set off with a comma (the punctuation mark, not the interval!) In general, the comma is spoken as "add". Thus C-down add-seven is Cv,7 = C vE G Bb. Compare with C down-seven = Cv7 = C vE G vBb.
For example, the downadd7no5 chord has 5/4 and 16/9. The interval from 5/4 up to 16/9 is 64/45. But because 41edo tempers out the [[225/224|Ruyoyo]] comma of only 8¢, 64/45 is equivalent to 10/7. The high-3 voicing inverts this into an even smoother 7/5. This dom7 chord is often appropriate for translating 12-edos V7 -- I cadence: relaxed but not too relaxed. Note that adding the 5th would increase the odd-limit to 27. In chord names, alterations are enclosed in parentheses, and additions are set off with a comma (the punctuation mark, not the interval!) In general, the comma is spoken as "add". Thus C-down add-seven is Cv,7 = C vE G Bb. Compare with C down-seven = Cv7 = C vE G vBb.
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The down7flat5 chord (odd-limit 9) is also innate-ruyoyo. The interval from 5/4 up to 7/5 is 28/25, equivalent to 9/8. The homonym of Cv7(b5) is the Gb downadd7upflat5 chord Gbv,7(^b5) = Gb vBb ^Dbb Fb. Enharmonic equivalences: ^Dbb = C, Fb = vE, and upflat 5th = aug 4th = 10/7.
The down7flat5 chord (odd-limit 9) is also innate-ruyoyo. The interval from 5/4 up to 7/5 is 28/25, equivalent to 9/8. The homonym of Cv7(b5) is the Gb downadd7upflat5 chord Gbv,7(^b5) = Gb vBb ^Dbb Fb. Enharmonic equivalences: ^Dbb = C, Fb = vE, and upflat 5th = aug 4th = 10/7.


All three of these chords contain the chord shape 4 1 1. This 3-note "nugget" implies the Ruyoyo comma: 9/8 plus 5/4 equals 7/5. By itself, it's the v,7no5 chord in low-7 voicing. The v7(b5) chord in close voicing (4 4 1 1) also contains the octave inverse of this nugget, 4 4 1. By itself, this inverse nugget makes Cv(b5) = C vE Gb (odd-limit 9). It's possible to confuse "C-down flat-5" = Cv(b5) with "C downflat-5" = C(vb5) = C E vGb = C E ^^F. However, the latter chord is very unlikely.
All three of these chords contain the chord shape 4 1 1. This 3-note "nugget" implies the Ruyoyo comma: 9/8 plus 5/4 equals 7/5. By itself, it's the v,7no5 chord in low-7 voicing. The v7(b5) chord in close voicing (4 4 1 1) also contains the octave inverse of this nugget, 4 4 1. By itself, this inverse nugget makes Cv(b5) = C vE Gb (odd-limit 9). Beware, "C-down flat-5" = Cv(b5) sounds much like "C downflat-5" = C(vb5) = C E vGb = C E ^^F. Fortunately, the latter chord is very unlikely.


The downaddflat5 chord Cv,b5 (odd-limit 15) has both a perfect and a diminished 5th. This chord is best voiced low-5. In other voicings, the two 5ths are on the same string, and one must play a riff that alternates between the two (indicated as 1/3 in the tab, 1st and 3rd fret).  
The downaddflat5 chord Cv,b5 (odd-limit 15) has both a perfect and a diminished 5th. This chord is best voiced low-5. In other voicings, the two 5ths are on the same string, and one must play a riff that alternates between the two (indicated as 1/3 in the tab, 1st and 3rd fret).  
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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. Quite often the translated version sounds better, 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. Quite often the translated version sounds better, because it's so well tuned.


One way to translate a conventional song is to first translate it to 7-limit JI, perhaps visualizing it on a lattice, keeping in mind that 41-edo tempers out the [[32805/32768|Layo]], [[225/224|Ruyoyo]] and [[5120/5103|Saruyo]] minicommas. Then translate the JI to 41edo. Another way is to use the spiral charts in the previous section.
One way to translate a conventional song is to first translate it to 7-limit JI, perhaps visualizing it on a lattice, keeping in mind that 41-edo tempers out the [[32805/32768|Layo]], [[225/224|Ruyoyo]] and [[5120/5103|Saruyo]] minicommas. Then translate the JI to 41edo. Another way is to use the spiral charts in the "About 41-edo" section.


Often there is only one obvious way to translate a song. I - V - VIm - IV becomes Iv - Vv - vVI^m - IVv. Sometimes there are multiple obvious translations. For example, the first 3 chords of "When I Was Your Man" are II7 - IIm7 - I. That could become vII^7 - vII^m7 - Iv, or it could become ^IIv7 - ^IIvm7 - Iv.
Often there is only one obvious way to translate a song. I - V - VIm - IV becomes Iv - Vv - vVI^m - IVv. Sometimes there are multiple obvious translations. For example, the first 3 chords of "When I Was Your Man" are II7 - IIm7 - I. That could become vII^7 - vII^m7 - Iv, or it could become ^IIv7 - ^IIvm7 - Iv.


In general, upperfect and downperfect intervals within chords are to be avoided. Downmajor is preferred over upmajor. Upminor is preferred for most folk, but downminor is preferred for most blues. Avoid plain major and minor 3rds and 6ths.  
In general, chords shouldn't use offperfect intervals (^4, v4, ^5 or v5). Downmajor is preferred over upmajor. Upminor is preferred for most folk, but downminor is preferred for most blues. Avoid plain major and minor 3rds and 6ths.  


Comma pumps, other than the aforementioned minicommas, cause pitch shifts, or occasionally, a tonic drift. The two most common commas that cause issues are the [[81/80|Gu]] and [[64/63|Ru]] commas. The choice of which two chords in the pump contain the pitch shift can be tricky. Generally, a root movement by an ^4, v4, ^5 or v5 is avoided. This usually necessitates a root movement by a plain major or minor interval.  
Comma pumps, other than the aforementioned minicommas, cause pitch shifts, or occasionally, a tonic drift. The two most common commas that cause issues are the [[81/80|Gu]] and [[64/63|Ru]] commas. The choice of which two chords in the pump contain the pitch shift can be tricky. Generally, root movement by an offperfect interval is avoided. This usually necessitates a root movement by a plain major or minor interval.


For example, I - VIm - IIm - V7 - I is a Gu pump. Without the pump, I - VIm would be translated as Iv - vVI^m, to avoid shifts. The roots would move by a vM6. With the pump, this might translate to Iv - VI^m - II^m - Vv7 - Iv. The first root movement is by a M6. The tonic and the major 3rd both shift between the I chord and the VI chord. Sometimes an up- or down-perfect root movement is better, see the "I Will" translation.
For example, I - VIm - IIm - V7 - I is a Gu pump. Without the pump, I - VIm would be translated as Iv - vVI^m, to avoid shifts. The roots would move by a vM6. With the pump, this might translate to Iv - VI^m - II^m - Vv7 - Iv. The first root movement is by a M6. The tonic and the major 3rd both shift between the I chord and the VI chord.


Likewise, I7 - IV7 - V7 - I7 is a Ru pump. The usual translation is Iv7 - IVv7 - Vv7 - Iv7, with the 4th shifting between the IV and V chords. Another example is Im7 - bIIIm6 - bVII7 - IV7 - I7. The root movements are m3, P5, P5, P5. Without the pump, the m3 movement would be translated to vm3. With the pump, to avoid an ^5 movement, the translation is Iv7 - bIII^m6 - bVIIv7 - IVv7 - I.
Likewise, I7 - IV7 - V7 - I7 is a Ru pump. The usual translation is Iv7 - IVv7 - Vv7 - Iv7, with the 4th shifting between the IV and V chords. Another example is Im7 - bIIIm6 - bVII7 - IV7 - I7. The root movements are m3, P5, P5, P5. Without the pump, the m3 movement would be translated to vm3. With the pump, to avoid an ^5 movement, the translation is Iv7 - bIII^m6 - bVIIv7 - IVv7 - I.
For rapid comma pumps of only two measures, a shift halfway through the pump is often best. See Kite's translation of "I Will".


One way to hide pitch shifts is to voice the two occurrences of the pitch in different octaves. Another way is to omit the 5th in one of the chords. Thus in the Gu example, the 2nd chord might be VI^mno5.  
One way to hide pitch shifts is to voice the two occurrences of the pitch in different octaves. Another way is to omit the 5th in one of the chords. Thus in the Gu example, the 2nd chord might be VI^mno5.  
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=== [[Song_Translations_by_Kite_Giedraitis_to_The_Kite_Guitar|Kite Giedraitis's Translations to the Kite Guitar]] ===
=== [[Song_Translations_by_Kite_Giedraitis_to_The_Kite_Guitar|Kite Giedraitis's Translations to the Kite Guitar]] ===
Stormy Monday (T-Bone Walker, Bobby Bland, Allman Brothers)
* Stormy Monday (T-Bone Walker, Bobby Bland, Allman Brothers)
 
* I Will Survive (Gloria Gaynor)
I Will Survive (Gloria Gaynor)
* Manhattan Island Serenade (Leon Russell)
 
* Girl From Ipanema (Antônio Carlos Jobim)
Manhattan Island Serenade (Leon Russell)
* I Will (The Beatles)
 
* And I Love Her (The Beatles)
Girl From Ipanema (Antônio Carlos Jobim)
* Fast Car (Tracy Chapman)
 
* Every Breath You Take (The Police)
I Will (The Beatles)
* Kusuva Musha (Zimbabwean mbira)
 
* My old Kentucky Home (barbershop tag)
And I Love Her (The Beatles)
* I Hear Numbers (Tall Kite)
 
* Hotel California (The Eagles)
Fast Car (Tracy Chapman)
* Stairway To Heaven intro (Led Zeppelin)
 
* Greensleeves (traditional)
Every Breath You Take (The Police)
* Mizarian Porcupine Overture (Herman Miller, microtonal)
 
Kusuva Musha (mbira)
 
My old Kentucky Home (barbershop tag)
 
I Hear Numbers (Tall Kite)
 
Hotel California (The Eagles)
 
Stairway To Heaven intro (Led Zeppelin)
 
Greensleeves (traditional)


== Original Compositions ==
== Original Compositions ==
[[Originals by Kite Giedraitis for The Kite Guitar]]
[[Originals by Kite Giedraitis for The Kite Guitar]]