Kite Guitar: Difference between revisions

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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. Its homonym is the downadd7upflat5 chord Gbv,7(^b5) = Gb vBb ^Dbb Fb. The upflat five is enharmonically equivalent to an aug 4th = 10/7.
-Other innate-ruyoyo chords of odd-limit 15 are Cv,b5, C^m,b5 and Cvm,b5.
+All three of these chords can be voiced to contain the chord shape 4 1 1. This 3-note "nugget" is the essence of the Ruyoyo comma: 9/8 + 5/4 = 7/5. By itself, it's the v,7no5 chord in low-7 voicing. The v7(b5) chord also contains the octave inverse of this nugget, 4 4 1. By itself, this inverse nugget makes Cv(b5) (odd-limit 9). This inverse nugget is also found in Cv,b5 (odd-limit 15), which sounds best in a low-5 voicing. When the added b5 is voiced an 8ve higher, it becomes a v#11, and suggests the vM9,v#11 chord (odd-limit 15).
 {| class="wikitable"
 !chord type
 !downadd7no5
-!downmajor7sus4
+!downmaj7sus4
 !down7flat5
+!downb5
+!downaddb5
+!downmaj9down#11
 |-
 !example, with homonym
@@ Line 525: / Line 528: @@
 !CvM7(4) = F2,b5
 !Cv7(b5) = Gbv,7(^b5)
+!Cv(b5)
+!Cv,b5
+!CvM9,v#11
 |-
 !example notes
@@ Line 530: / Line 536: @@
 !C F G vB
 !C vE Gb vBb
+!C vE Gb
+!C vE Gb G
+!C vE G vB D vF#
 |-
 !ratio of the 3rd
 !vM3 = 5/4
 !P4 = 4/3
+!vM3 = 5/4
+!vM3 = 5/4
+!vM3 = 5/4
 !vM3 = 5/4
 |-
 !ratio of the 5th
-!none
+!----
 !P5 = 3/2
 !d5 = 7/5
+!d5 = 7/5
+!P5 = 3/2
+!P5 = 3/2
 |-
 !ratio of the 7th
@@ Line 545: / Line 560: @@
 !vM7 = 15/8
 !vm7 = 7/4
+!----
+!----
+!vM7 =15/8
+|-
+!other ratios
+!----
+!----
+!----
+!----
+!d5 = 7/5
+!v#11 = 14/5
 |-
 |'''<u>close voicing</u> R 3 5 7 (8)'''
+|
+|
+|
 |
 |
@@ Line 555: / Line 584: @@
 |4 6 3 3
 |4 4 1 1
+|4 4 1 (5)
+|4 4 1/3
+|4 4 3 3 2 2
 |-
 |suggested fingerings
@@ Line 560: / Line 592: @@
 |2 4 1 1
 |3 4 1 1
+|3 4 1
+3 1 (4)
+|3 4 1/2
+|3 4 2 2 1 1
 |-
-|'''<u>high-3 voicing</u> R 5 7 3'''
+|'''<u>high-3 voicing</u> R 5 7 (8) 3'''
+|
+|
+|
 |
 |
@@ Line 567: / Line 606: @@
 |-
 |frets
-|4 . 8 . 5
+|4 . 8 (5) 5
 |4 . 3 3 7
 |4 . 1 1 5
+|4 . 1 (5) 5
+|4 . 1/3 (5) 5
+|
 |-
 |suggested fingerings
 |1 . 4 . 2
+. 4 (1) 1
 |2 . 1 1 4
 |3 . 1 1 4
+|2 . 1 (3) 4
+|3 . 1/2 . 4
+. 1 (3) 4
+|
 |-
 |'''<u>low-5 voicing</u> 5 R 3 7'''
+|
+|
+|
 |
 |
@@ Line 585: / Line 635: @@
 |(difficult)
 |0 4 4 . 1
+|(difficult)
+|2 4 4 1
+|
 |-
 |suggested fingerings
@@ Line 590: / Line 643: @@
 |
 |1 3 4 . 2
+|
+|2 3 4 1
+|
+|-
+|'''<u>low-7 voicing</u> 7 R 3'''
+|
+|
+|
+|
+|
+|
+|-
+|frets
+|7 4 4
+|(N/A)
+|(N/A)
+|(N/A)
+|(N/A)
+|(N/A)
+|-
+|suggested fingerings
+|3 1 1
+|
+|
+|
+|
+|
 |}
-'''11th chords''' include the vM9,v#11 (frets 4 4 3 3 2 2), vM11 (4 4 3 3 2 0), v11 (4 4 3 1 2 0), and ^m11 (4 3 3 2 2 1). The first chord's v#11th is 45/16, which is equivalent to 14/5. Thus the chord's intervallic odd limit is only 15. All the other chords contain a wolf 11th. Rather than 8/3, the vM11 and v11 chords have 21/8, and the ^m11 chord has 27/10.
+Other 11th chords include vM11 (4 4 3 3 2 0), v11 (4 4 3 1 2 0), and ^m11 (4 3 3 2 2 1). All these chords contain a wolf 11th. Rather than 8/3, the vM11 and v11 chords have 21/8, and the ^m11 chord has 27/10. The mid-11th, ratio 11/4, is also available.
 === Sixth chords ===