Xenharmonic Wiki

Kite Guitar Scales: Difference between revisions

← Older editNewer edit →
VisualWikitext
TallKite (talk | contribs)
autopatrolled, Sysops
4,192 edits
TallKite (talk | contribs)
autopatrolled, Sysops
4,192 edits
→5L3s scales: completed the table
Line 2,145: Line 2,145:
41edo contains an exact [[5L 3s]] scale with steps 77277272, but it's very awkward to play. 41edo can approximate 5L3s with L = 6\41 or 8\41 and s = 3\41. This gives rise to five patterns, each of which has 8 modes. The LLsLLsLs mode of each pattern:
41edo contains an exact [[5L 3s]] scale with steps 77277272, but it's very awkward to play. 41edo can approximate 5L3s with L = 6\41 or 8\41 and s = 3\41. This gives rise to five patterns, each of which has 8 modes. The LLsLLsLs mode of each pattern:


* ??? pattern: 6 6 3 8 6 3 6 3
* upper pattern: 8 6 3 6 6 3 6 3
* ??? pattern: 6 6 3 6 8 3 6 3
* up pattern: 6 8 3 6 6 3 6 3
* down pattern: 6 6 3 8 6 3 6 3
* downer pattern: 6 6 3 6 8 3 6 3
* sym pattern: 6 6 3 6 6 3 8 3 (sym = [[wikipedia:Inversion_(music)#Inversional_equivalency|inversionally symmetric]])  
* sym pattern: 6 6 3 6 6 3 8 3 (sym = [[wikipedia:Inversion_(music)#Inversional_equivalency|inversionally symmetric]])  
* ??? pattern: 8 6 3 6 6 3 6 3
* ??? pattern: 6 8 3 6 6 3 6 3
(TO DO: name the other 4 patterns)
Each pattern contains three P5's except the sym pattern which has only two. Modes that contain a P5 from the tonic are '''bolded'''.
Each pattern contains three P5's except the sym pattern which has only two. Modes that contain a P5 from the tonic are '''bolded'''.
{| class="wikitable"
{| class="wikitable"
|+'''modes of 41edo's pseudo-5L3s (Kite guitar moves are +3, +4, -5)'''
|+'''modes of 41edo's pseudo-5L3s (Kite guitar moves are +3, +4, -5)'''
!
!
!
!upper
!
!up
!down
!downer
!sym
!sym
!
!
|-
|-
!#1
!#1
|8 6 3 6 6 3 6 3
|6 8 3 6 6 3 6 3
|6 6 3 8 6 3 6 3
|6 6 3 8 6 3 6 3
|6 6 3 6 8 3 6 3
|6 6 3 6 8 3 6 3
|6 6 3 6 6 3 8 3
|6 6 3 6 6 3 8 3
|8 6 3 6 6 3 6 3
|6 8 3 6 6 3 6 3
|-
|-
!#2
!#2
|'''6 6 3 6 3 8 6 3'''
|'''6 6 3 6 3 6 8 3'''
|8 6 3 6 3 6 6 3
|8 6 3 6 3 6 6 3
|6 8 3 6 3 6 6 3
|6 8 3 6 3 6 6 3
|6 6 3 8 3 6 6 3
|6 6 3 8 3 6 6 3
|'''6 6 3 6 3 8 6 3'''
|'''6 6 3 6 3 6 8 3'''
|-
|-
!#3
!#3
|6 3 8 6 3 6 6 3
|6 3 6 8 3 6 6 3
|'''6 3 6 6 3 8 6 3'''
|'''6 3 6 6 3 8 6 3'''
|'''6 3 6 6 3 6 8 3'''
|'''6 3 6 6 3 6 8 3'''
|8 3 6 6 3 6 6 3
|8 3 6 6 3 6 6 3
|6 3 8 6 3 6 6 3
|6 3 6 8 3 6 6 3
|-
|-
!#4
!#4
|'''6 3 6 6 3 6 3 8'''
|8 3 6 6 3 6 3 6
|6 3 8 6 3 6 3 6
|6 3 8 6 3 6 3 6
|6 3 6 8 3 6 3 6
|6 3 6 8 3 6 3 6
|'''6 3 6 6 3 8 3 6'''
|'''6 3 6 6 3 8 3 6'''
|'''6 3 6 6 3 6 3 8'''
|8 3 6 6 3 6 3 6
|-
|-
!#5
!#5
|6 3 6 3 8 6 3 6
|'''6 3 6 3 6 8 3 6'''
|'''6 3 6 3 6 6 3 8'''
|'''6 3 6 3 6 6 3 8'''
|8 3 6 3 6 6 3 6
|8 3 6 3 6 6 3 6
|6 3 8 3 6 6 3 6
|6 3 8 3 6 6 3 6
|6 3 6 3 8 6 3 6
|'''6 3 6 3 6 8 3 6'''
|-
|-
!#6
!#6
|3 8 6 3 6 6 3 6
|3 6 8 3 6 6 3 6
|3 6 6 3 8 6 3 6
|3 6 6 3 8 6 3 6
|'''3 6 6 3 6 8 3 6'''
|'''3 6 6 3 6 8 3 6'''
|'''3 6 6 3 6 6 3 8'''
|'''3 6 6 3 6 6 3 8'''
|3 8 6 3 6 6 3 6
|3 6 8 3 6 6 3 6
|-
|-
!#7
!#7
|'''3 6 6 3 6 3 8 6'''
|'''3 6 6 3 6 3 6 8'''
|3 8 6 3 6 3 6 6
|3 8 6 3 6 3 6 6
|3 6 8 3 6 3 6 6
|3 6 8 3 6 3 6 6
|3 6 6 3 8 3 6 6
|3 6 6 3 8 3 6 6
|'''3 6 6 3 6 3 8 6'''
|'''3 6 6 3 6 3 6 8'''
|-
|-
!#8
!#8
|3 6 3 8 6 3 6 6
|3 6 3 6 8 3 6 6
|'''3 6 3 6 6 3 8 6'''
|'''3 6 3 6 6 3 8 6'''
|'''3 6 3 6 6 3 6 8'''
|'''3 6 3 6 6 3 6 8'''
|3 8 3 6 6 3 6 6
|3 8 3 6 6 3 6 6
|3 6 3 8 6 3 6 6
|3 6 3 6 8 3 6 6
|}
|}
Alternatively, one of the small steps can be 4-arrow (^m2 or A1). There are only four patterns that avoid adjacent odd numbers, which would make three consecutive notes on different strings:
Alternatively, one of the small steps can be 4-arrow (^m2 or A1). There are only four patterns that avoid adjacent odd numbers, which would make three consecutive notes on different strings:
Line 2,222: Line 2,220:
* up pattern: 7 6 3 6 6 3 6 4
* up pattern: 7 6 3 6 6 3 6 4
* down pattern: 6 6 3 6 7 4 6 3
* down pattern: 6 6 3 6 7 4 6 3
* ??? pattern: 6 7 4 6 6 3 6 3
* up2 pattern: 6 7 4 6 6 3 6 3
* ??? pattern: 6 6 4 7 6 3 6 3
* down2 pattern: 6 6 4 7 6 3 6 3
The last two patterns have 4 notes on just one string.
The last two patterns have 4 notes on just one string, awkwardly spanning 8 frets. Again, modes with a P5 from the tonic are '''bolded'''. The upper tetrachord of these modes is often a familiar diatonic one like 6 7 4 or 7 4 6 or 4 7 6.
 
(TO DO: complete the table, name the other 2 patterns)
{| class="wikitable"
{| class="wikitable"
|+'''modes of 41edo's pseudo-5L3s (Kite guitar moves +3, -3, -5, +2)'''
|+'''modes of 41edo's pseudo-5L3s (Kite guitar moves +3, -3, -5, +2)'''
Line 2,232: Line 2,228:
!up
!up
!down
!down
!
!up2
!
!down2
|-
|-
!#1
!#1
|7 6 3 6 6 3 6 4
|7 6 3 6 6 3 6 4
|6 6 3 6 7 4 6 3
|6 6 3 6 7 4 6 3
|7 6 4 6 6 3 6 3
|6 7 4 6 6 3 6 3
|6 6 4 7 6 3 6 3
|6 6 4 7 6 3 6 3
|-
|-
!#2
!#2
|
|6 6 3 6 4 7 6 3
|
|6 7 4 6 3 6 6 3
|
|'''6 6 3 6 3 6 7 4'''
|
|7 6 3 6 3 6 6 4
|-
|-
!#3
!#3
|
|6 4 7 6 3 6 6 3
|
|'''6 3 6 6 3 6 7 4'''
|
|6 3 6 7 4 6 6 3
|
|6 3 6 6 4 7 6 3
|-
|-
!#4
!#4
|
|'''6 3 6 6 3 6 4 7'''
|
|6 3 6 7 4 6 3 6
|
|7 4 6 6 3 6 3 6
|
|6 4 7 6 3 6 3 6
|-
|-
!#5
!#5
|
|6 3 6 4 7 6 3 6
|
|7 4 6 3 6 6 3 6
|
|'''6 3 6 3 6 7 4 6'''
|
|'''6 3 6 3 6 6 4 7'''
|-
|-
!#6
!#6
|
|4 7 6 3 6 6 3 6
|
|'''3 6 6 3 6 7 4 6'''
|
|3 6 7 4 6 6 3 6
|
|3 6 6 4 7 6 3 6
|-
|-
!#7
!#7
|
|'''3 6 6 3 6 4 7 6'''
|
|3 6 7 4 6 3 6 6
|
|4 6 6 3 6 3 6 7
|
|4 7 6 3 6 3 6 6
|-
|-
!#8
!#8
|
|3 6 4 7 6 3 6 6
|
|4 6 3 6 6 3 6 7
|
|3 6 3 6 7 4 6 6
|
|'''3 6 3 6 6 4 7 6'''
|}
|}


[[Category:Kite Guitar]]
[[Category:Kite Guitar]]
Retrieved from "https://en.xen.wiki/w/Kite_Guitar_Scales"