Kite Guitar: Difference between revisions

* v8  P8  

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

![[cents]]

!degree

|0

|0¢

|P1

|Da

|-

|1

|29

|^1

|^C

|2

|59

|vm2

|vDb

|3

|88

|m2

|Db

|-

|4

|upminor 2nd

|^m2

|5

|146

|~2

|vvD

|6

|176

|vM2

|vD

|7

|205

|M2

|D

|9

|263

|vm3

|vEb

|10

|293

|m3

|Eb

|12

|351

|~3

|vvE

|14

|410

|M3

|E

|15

|439

|^M3

|Mu

|-

|16

|468

|v4

|vF

|17

|498

|P4

|F

|^4

|^F

|-

|19

|556

|-

|20

|585

|-

|21

|615

|-

|22

|644

|-

|23

|673

|v5

|vG

|24

|702

|P5

|G

|26

|761

|vm6

|vAb

|27

|790

|m6

|Ab

|29

|849

|vvA

|Li

|-

|30

|downmajor 6th

|vM6

|31

|907

|M6

|La

|-

|33

|966

|vm7

|vBb

|34

|995

|m7

|Bb

|Thu

|-

|1054

|~7

|vvB

|Ti

|-

|1083

|downmajor 7th

|-

|38

|M7

|Ta

|-

|upmajor 7th

|^M7

|-

|40

|vC

|Do

|41

|1200

|P8

|C

|Da

|}

[[File:12-edo circle of 5ths.png|left|thumb|400x400px]]

[[File:12-edo circle with notes.png|center|thumb|400x400px]]  

These charts show 41-equal in terms of 12-equal. The circle of fifths becomes a spiral. "-ish" means ±1 edostep (one 41st of an octave). The 12 categories circled in red correspond to the notes of 12-equal. The two innermost and two outermost intervals are duplicates. [[File:41-edo_spiral.png|left|thumb|400x400px]] [[File:41-edo_spiral_with_notes.png|center|thumb|400x400px]]

==Tunings==

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.

This chart is in relative not absolute notation, meaning it shows intervals not notes. 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]]

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

''Main article:'' '''[[Kite Guitar Chord Shapes (downmajor tuning)]].'''  

''Main article:'' [[Kite Guitar Scales|'''Kite Guitar Scales''']] (practical guide)

[[File:Scale chart.png|thumb|left]]

[[File:Scale chart 2.png|none|thumb]]

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).  

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.

The Kite guitar in downmajor tuning can be tuned by ear using the octaves at (+1,+3+2) (see the explanation of relative tab above). 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"

!unisons

|-

|(6th, 3rd & 1) = (4th, 0)

|-

|(5th, 3rd & 1) = (3rd, 0)

|-

|-

|(3rd, 3rd & 1) = (1st, 0)

|-

|(6th, 0) harmonic at 3rd dot = (1st, 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 a compatible tuner. The following options fully support 41-equal with appropriate names and tuning calibration:

[http://lingot.nongnu.org/ '''LINGOT'''] is a free tuner for GNU/Linux which supports any tuning system and imports scala files. To set it to 41-equal, download and import this [https://gitlab.com/41edo/kite-guitar-method/-/raw/master/Tools/41-edo.scl 41-edo.scl] file. Then, set the frequency of pitch "1" to D by replacing the "mid-C" text with the frequency number "587.33".

''Main article:'' [[Kite Guitar translations|'''Kite Guitar translations''']]

The Bohlen-Pierce 13-EDT scale is a subset of 41-equal, so a direct translation is possible, but usually awkward to play. Another possibility is translating to one of the [[Kite Guitar Scales#Octotonic (3L 3m 2s)|Octotonic (3L 3m 2s)]] scales, which have unequal steps, but avoid the 3 wolves of B-P (^5, v8 and M10).  

''Main article:'' [[Kite Guitar originals|'''Kite Guitar originals''']]