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Kite Guitar Scales: Difference between revisions

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Created page with "Printable charts, one of scale degrees, the other of the three main heptatonic scales. In the latter, some scale degrees appear more than once. In general, use the one that ag..."
 
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Printable charts, one of scale degrees, the other of the three main heptatonic scales. In the latter, some scale degrees appear more than once. In general, use the one that agrees with the current chord.[[File:Scale chart.png|thumb|left]]
Printable charts for the downmajor tuning of the [[The Kite Guitar|Kite Guitar]]. One is of scale degrees, the other is of the three main heptatonic scales. In the latter, some scale degrees appear more than once. In general, use the one that agrees with the current chord. [[File:Scale chart.png|thumb|left]]
[[File:Scale chart 2.png|none|thumb]]  
[[File:Scale chart 2.png|none|thumb]]  


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== Pentatonic Scales ==
== Pentatonic Scales ==
Every pentatonic scale has 5 modes, but only those modes with a non-fuzzy 5th are listed.  
Every pentatonic scale has 5 modes, but only those modes with a non-fuzzy 5th are listed.  
=== Major and minor scales ===
{| class="wikitable left-9 center-all"
{| class="wikitable left-9 center-all"
|+
|+
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| style="text-align: left" |^6,(^)9 chord
| style="text-align: left" |^6,(^)9 chord
|}
|}
The harmonic and subharmonic scales are named after the triad implied by the 3rd and 5th, minus the up or down. Note that the harmonic ''major'' scale contains a ''minor'' 7th, and the harmonic ''minor'' scale contains a ''major'' 6th. Likewise with the subharmajor and subharminor scales. A harmonic diminished pentatonic scale would be P1 ^m3 d5 ^m6 ^m7 P8 = 5:6:7:8:9. But it's not very plausible, and would be heard as one of the other modes.
 
=== Harmonic and subharmonic scales ===
These are named after the triad implied by the 3rd and 5th, minus the up or down. Note that the harmonic ''major'' scale contains a ''minor'' 7th, and the harmonic ''minor'' scale contains a ''major'' 6th. Likewise with the subharmajor and subharminor scales. A harmonic diminished pentatonic scale would be P1 ^m3 d5 ^m6 ^m7 P8 = 5:6:7:8:9. But it's not very plausible, and would be heard as one of the other modes.
{| class="wikitable left-9 center-all"
{| class="wikitable left-9 center-all"
|+
|+
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== Heptatonic Scales ==
== Heptatonic Scales ==
Five of the seven ya modes are formed from this collection of notes:


(to do: add lattice)
=== Major and minor scales ===
As with chords, adding up or down to a scale name affects the 3rd, 6th and 7th. However, there are fuzzy notes not implied by the name. Without these fuzzy notes, downmajor and upminor would not be modes of each other.
{| class="wikitable center-all"
|+
!subgroup
!name
! colspan="8" |scale
! colspan="2" |step sizes
|-
! rowspan="2" |ya
(2.3.5)
!downmajor
|P1
|(v)M2
|vM3
|P4
|P5
|vM6
|vM7
|P8
| rowspan="2" |^m2, vM2, M2
| rowspan="2" |4 6 7
|-
!upminor
|P1
|M2
|^m3
|(^)4
|P5
|^m6
|^m7
|P8
|-
! rowspan="2" |za
(2.3.7)
!upmajor
|P1
|(^)M2
|^M3
|P4
|P5
|^M6
|^M7
|P8
| rowspan="2" |vm2, M2, ^M2
| rowspan="2" |2 7 8
|-
!downminor
|P1
|M2
|vm3
|(v)4
|P5
|vm6
|vm7
|P8
|}
 
=== Harmonic and subharmonic scales ===
These all have the same prime subgroup, yazalatha (2.3.5.7.11.13). Adding the 15th harmonic (the '''bolded''' note) makes an octotonic scale that uses harmonics 8-16. Again, the scales are named after the triad implied by the 3rd and 5th, minus the up or down. If there are two 3rds, the unbolded one is used. Each scale contains the similarly-named pentatonic scale, e.g. the harmajor scale contains the harmajor pentatonic scale.
{| class="wikitable left-11 center-all"
|+
!
! colspan="9" |scale
!as a chord
! colspan="2" |step sizes
|-
!harmonic major
|P1
|M2
|vM3
|~4
|P5
|~6
|vm7
|'''vM7'''
|P8
|8:9:10:11:12:13:14:'''15'''
| rowspan="2" |^m2, ~2, vM2, M2, ^M2
| rowspan="2" |4 5 6 7 8
|-
!harmonic minor
|P1
|~2
|vm3
|'''vM3'''
|P4
|P5
|vM6
|~7
|P8
| style="text-align: left" |12:13:14:'''15''':16:18:20:22
|-
!subharmonic major
|P1
|M2
|'''^m3'''
|^M3
|~4
|P5
|~6
|^m7
|P8
|18/(18:16:'''15''':14:13:12:11:10)
| rowspan="2" |^m2, ~2, vM2, M2, ^M2
| rowspan="2" |4 5 6 7 8
|-
!subharmonic minor
|P1
|~2
|^m3
|P4
|P5
|'''^m6'''
|^M6
|~7
|P8
| style="text-align: left" |24/(24:22:20:18:16:'''15''':14:13)
|}
One of the hallmarks of harmonic and subharmonic scales is that each step has a unique size. Unfortunately, in 41edo, these scales do not have unique step sizes. The heptatonic scales run 8 7 6 6 5 5 4. The octotonic step sizes are worse, 7 6 6 5 5 4 4 4. Only the pentatonic scales have unique step sizes.


=== The seven modes ===
Generalizing the 7 modes to 41edo is tricky. Five of the seven ya modes are formed from this collection of notes:
<tt>
  D ----- A ----- E ----- B
    \    / \    / \    / \
    \  /  \  /  \  /  \
      \ /    \ /    \ /    \
      F ----- C ----- G ----- D
</tt>
Five of the seven za modes are formed from this collection:
Five of the seven za modes are formed from this collection:
 
<tt>
(to do: add lattice)
    ------- ------- -------
 
    \    / \    / \    / \
The two dorian scales and the two locrian scales are not from these lattices, and are not actually modes of the other scales.  
    \  /  \  /  \  /  \
  F  \ /  C  \ /  G  \ /  D  \
      D ----- A ----- E ----- B
</tt>
In both cases, the D is fuzzy. But the two dorian scales and the two locrian scales are not from these lattices, and are not actually modes of the other scales.  


To be consistent, the two dorian scales should have a fuzzy tonic. To avoid this, and to provide all six triads, there are ''two'' fuzzy notes. Note that the 6th of the <u>up</u>dorian scale can be <u>down</u>ed.
To be consistent, the two dorian scales should have a fuzzy tonic. To avoid this, and to provide all six triads, there are ''two'' fuzzy notes. Note that the 6th of the <u>up</u>dorian scale can be <u>down</u>ed.
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|vm2, m2, vM2, M2, ^M2
|vm2, m2, vM2, M2, ^M2
|2 3 6 7 8
|2 3 6 7 8
|}The harmonic and subharmonic scales all have the same prime subgroup, yazalatha (2.3.5.7.11.13). Adding the 15th harmonic (the '''bolded''' note) makes an octotonic scale that uses harmonics 8-16. Again, the scales are named after the triad implied by the 3rd and 5th, minus the up or down. If there are two 3rds, the unbolded one is used. Each scale contains the similarly-named pentatonic scale, e.g. the harmajor scale contains the harmajor pentatonic scale.
{| class="wikitable left-11 center-all"
|+
!
! colspan="9" |scale
!as a chord
! colspan="2" |step sizes
|-
!harmonic major
|P1
|M2
|vM3
|~4
|P5
|~6
|vm7
|'''vM7'''
|P8
|8:9:10:11:12:13:14:'''15'''
| rowspan="2" |^m2, ~2, vM2, M2, ^M2
| rowspan="2" |4 5 6 7 8
|-
!harmonic minor
|P1
|~2
|vm3
|'''vM3'''
|P4
|P5
|vM6
|~7
|P8
| style="text-align: left" |12:13:14:'''15''':16:18:20:22
|-
!subharmonic major
|P1
|M2
|'''^m3'''
|^M3
|~4
|P5
|~6
|^m7
|P8
|18/(18:16:'''15''':14:13:12:11:10)
| rowspan="2" |^m2, ~2, vM2, M2, ^M2
| rowspan="2" |4 5 6 7 8
|-
!subharmonic minor
|P1
|~2
|^m3
|P4
|P5
|'''^m6'''
|^M6
|~7
|P8
| style="text-align: left" |24/(24:22:20:18:16:'''15''':14:13)
|}
|}
One of the hallmarks of harmonic and subharmonic scales is that each step has a unique size. Unfortunately, in 41edo, these scales do not have unique step sizes. The heptatonic scales run 8 7 6 6 5 5 4. The octotonic step sizes are worse, 7 6 6 5 5 4 4 4. Only the pentatonic scales have unique step sizes.
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