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Kite's ups and downs notation: Difference between revisions

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==Examples: EDOs 12-24==
==Examples: EDOs 12-24==


See a specific edo's  [[EDO]] page for its up/down notation.  
See a specific EDO's  [[EDO]] page for its up/down notation. If 7 fifths equals X edosteps, the EDO is sharp-X. If X is negative, the EDO is flat-Y, where Y = |X|. Sharp-1 and flat-1 EDOs are the only EDOs that don't need ups and downs.  
{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
| rowspan="2" |[[12-edo]]
| rowspan="2" |[[12-edo|'''12-edo''']]
sharp-1
sharp-1
|'''D'''
|'''D'''
Line 101: Line 101:
| rowspan="4" |'''[[13-edo|13b-edo]]'''
| rowspan="4" |'''[[13-edo|13b-edo]]'''
flat-3
flat-3
| rowspan="2" |with sharp lowering the pitch,
| rowspan="2" |sharp lowers the pitch,
major narrower than minor  
major narrower than minor  
|'''D'''
|'''D'''
Line 133: Line 133:
|P8
|P8
|-
|-
| rowspan="2" |with sharp raising the pitch,
| rowspan="2" |sharp raises the pitch,
and major wider than minor  
and major wider than minor  
|'''D'''   
|'''D'''   
Line 244: Line 244:
| rowspan="4" |'''[[16-edo]]'''
| rowspan="4" |'''[[16-edo]]'''
flat-1
flat-1
| rowspan="2" |with sharp lowers,
| rowspan="2" |sharp lowers,
major narrower than minor
major narrower than minor
|'''D'''   
|'''D'''   
Line 282: Line 282:
|  P8
|  P8
|-
|-
| rowspan="2" | with sharp raises,
| rowspan="2" | sharp raises,
major wider than minor
major wider than minor
|'''D'''  
|'''D'''  
Line 364: Line 364:


{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
|'''[[18-edo|18b-edo]]'''
| rowspan="4" |'''[[18-edo|18b-edo]]'''
|with sharp lowering the pitch, and major/aug narrower than minor/dim
flat-2
|D  
| rowspan="2" |sharp lowers,
major is narrower
|'''D'''
|  ^D/vE  
|  ^D/vE  
|  E  
|  '''E'''
|  ^E  
|  ^E  
|  Eb/F#  
|  Eb/F#  
|  vF   
|  vF   
| F   
| '''F'''  
| ^F/vG  
| ^F/vG  
|  G   
|  '''G'''  
| ^G/vA  
| ^G/vA  
|  A  
|  '''A'''
|  ^A/vB  
|  ^A/vB  
|  B  
|  '''B'''
|  ^B  
|  ^B  
|  Bb/C#  
|  Bb/C#  
|  vC   
|  vC   
| C   
| '''C'''  
| ^C/vD  
| ^C/vD  
|  D
|  '''D'''
|-
|-
|
|
|P1  
|P1  
|  ^P1/vM2  
|  ^P1/vM2  
Line 408: Line 408:
|  P8
|  P8
|-
|-
|
| rowspan="2" | sharp raises,
| with sharp raising the pitch, and major/aug wider than minor/dim
major is wider
|D  
|'''D'''
|  ^D/vE  
|  ^D/vE  
|  E   
|  '''E'''    
|^E   
|^E   
| E#/Fb  
| E#/Fb  
|  vF  
|  vF  
|  F   
|  '''F'''  
| ^F/vG  
| ^F/vG  
|  G   
|  '''G'''  
| ^G/vA  
| ^G/vA  
|  A   
|  '''A'''  
| ^A/vB  
| ^A/vB  
|  B  
|  '''B'''
|  ^B  
|  ^B  
|  B#/Cb  
|  B#/Cb  
|  vC  
|  vC  
|  C   
|  '''C'''  
| ^C/vD  
| ^C/vD  
|  D
|  '''D'''
|-
|-
|
|
|P1  
|P1  
|  ^P1/vm2  
|  ^P1/vm2  
Line 454: Line 452:


{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
|'''[[19-edo]]'''
| rowspan="2" |'''[[19-edo]]'''
|D  
sharp-1
|'''D'''
|  D#  
|  D#  
|  Eb   
|  Eb   
| E   
| '''E'''  
| E#/Fb  
| E#/Fb  
|  F  
|  '''F'''
|  F#  
|  F#  
|  Gb  
|  Gb  
|  G   
|  '''G'''  
| G#  
| G#  
|  Ab   
|  Ab   
| A   
| '''A'''  
| A#   
| A#   
| Bb   
| Bb   
| B   
| '''B'''  
| B#/Cb  
| B#/Cb  
|  C   
|  '''C'''  
| C#  
| C#  
|  Db  
|  Db  
|  D
|  '''D'''
|-
|-
|
|P1  
|P1  
|  d2  
|  d2  
Line 500: Line 498:


{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
|'''[[20-edo]]''' sharp-4
| rowspan="2" |'''[[20-edo]]'''
|D  
sharp-4
|'''D'''
|  ^D  
|  ^D  
|  ^^D/vvE  
|  ^^D/vvE  
|  vE  
|  vE  
|  E/F  
|  '''E/F'''
|  ^F   
|  ^F   
| ^^F/vvG  
| ^^F/vvG  
|  vG  
|  vG  
|  G   
|  '''G'''  
| ^G   
| ^G   
| ^^G/vvA  
| ^^G/vvA  
|  vA  
|  vA  
|  A   
|  '''A'''  
| ^A   
| ^A   
| ^^A/vvB  
| ^^A/vvB  
|  vB   
|  vB   
| B/C  
| '''B/C'''
|  ^C  
|  ^C  
|  ^^C/vvD  
|  ^^C/vvD  
|  vD   
|  vD   
| D
| '''D'''
|-
|-
|
|P1/m2  
|P1/m2  
|  ^m2  
|  ^m2  
Line 548: Line 546:


{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
|'''[[21-edo]]''' sharp-0
| rowspan="2" |'''[[21-edo]]'''
|D   
sharp-0
|'''D'''  
| ^D   
| ^D   
| vE   
| vE   
| E   
| '''E'''  
| ^E  
| ^E  
|  vF  
|  vF  
|  F   
|  '''F'''  
| ^F  
| ^F  
|  vG  
|  vG  
|  G   
|  '''G'''  
| ^G   
| ^G   
| vA  
| vA  
|  A  
|  '''A'''
|  ^A  
|  ^A  
|  vB  
|  vB  
|  B   
|  '''B'''  
| ^B  
| ^B  
|  vC  
|  vC  
|  C   
|  '''C'''  
| ^C   
| ^C   
| vD   
| vD   
| D
| '''D'''
|-
|-
|
|1   
|1   
| ^1  
| ^1  
Line 598: Line 596:


{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
|'''[[22-edo]]''' sharp-3
| rowspan="2" |'''[[22-edo]]'''
|D   
sharp-3
|'''D'''  
| ^D/Eb  
| ^D/Eb  
|  vD#/^Eb  
|  vD#/^Eb  
|  D#/vE  
|  D#/vE  
|  E   
|  '''E'''  
| F   
| '''F'''  
| ^F/Gb  
| ^F/Gb  
|  vF#/^Gb  
|  vF#/^Gb  
|  F#/vG   
|  F#/vG   
| G   
| '''G'''  
| ^G/Ab  
| ^G/Ab  
|  vG#/^Ab  
|  vG#/^Ab  
|  G#/vA   
|  G#/vA   
| A  
| '''A'''
|  etc.
|  etc.
|-
|-
|
|P1  
|P1  
|  ^1/m2  
|  ^1/m2  
Line 634: Line 632:


{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
|'''[[23-edo]]''' flat-1
| rowspan="4" |'''[[23-edo]]'''
|with sharp lowering the pitch, and major/aug narrower than minor/dim
flat-1
| D  
| rowspan="2" |sharp lowers,
major is narrower
| '''D'''
|  Db  
|  Db  
|  E#  
|  E#  
|  E  
|  '''E'''
|  Eb  
|  Eb  
|  Ebb/Fx  
|  Ebb/Fx  
|  F#   
|  F#   
| F   
| '''F'''  
| Fb   
| Fb   
| G#   
| G#   
| G   
| '''G'''  
| Gb   
| Gb   
| A#   
| A#   
| A   
| '''A'''  
| Ab  
| Ab  
|  B#  
|  B#  
|  B   
|  '''B'''  
| Bb   
| Bb   
| Bbb/Cx   
| Bbb/Cx   
| C#   
| C#   
| C   
| '''C'''  
| Cb   
| Cb   
| D#   
| D#   
| D
| '''D'''
|-
|-
|
|
| P1  
| P1  
|  d1  
|  d1  
Line 688: Line 686:
| P8
| P8
|-
|-
|
| rowspan="2" | sharp raises,
| with sharp raising the pitch, and major/aug wider than minor/dim
major is wider
|  D  
|  '''D'''
|  D#  
|  D#  
|  Eb   
|  Eb   
| E   
| '''E'''  
| E#   
| E#   
| Ex/Fbb  
| Ex/Fbb  
|  Fb   
|  Fb   
| F  
| '''F'''
|  F#  
|  F#  
|  Gb   
|  Gb   
| G   
| '''G'''  
| G#  
| G#  
|  Ab  
|  Ab  
|  A   
|  '''A'''  
| A#  
| A#  
|  Bb  
|  Bb  
|  B   
|  '''B'''  
| B#   
| B#   
| Bx/Cbb  
| Bx/Cbb  
|  Cb  
|  Cb  
|  C   
|  '''C'''  
| C#   
| C#   
| Db  
| Db  
|  D
|  '''D'''
|-
|-
|
|
|  P1  
|  P1  
|  A1   
|  A1   
Line 744: Line 740:


{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
| '''[[24-edo]]''' sharp-2
| rowspan="2" | '''[[24-edo]]'''
|  D   
sharp-2
|  '''D'''  
| ^D/vEb  
| ^D/vEb  
|  D#/Eb   
|  D#/Eb   
| ^D#/vE   
| ^D#/vE   
| E   
| '''E'''  
| ^E/vF  
| ^E/vF  
|  F   
|  '''F'''  
| ^F   
| ^F   
| F#/Gb  
| F#/Gb  
|  vG  
|  vG  
|  G   
|  '''G'''  
| ^G/vAb  
| ^G/vAb  
|  G#/Ab  
|  G#/Ab  
|  ^G#/vA  
|  ^G#/vA  
|  A   
|  '''A'''  
|  etc.
|  etc.
|-
|-
|
|P1  
|P1  
|  ^1/vm2  
|  ^1/vm2  
Line 780: Line 776:
|  etc.
|  etc.
|}
|}


==Chords and Chord Progressions==
==Chords and Chord Progressions==
Line 889: Line 884:
C vE G vBb = Cv7 = "C down seven"
C vE G vBb = Cv7 = "C down seven"


All 7th chords follow this same pattern. Likewise, if a 6th is not a P4 or A4 above the 3rd, it's an "add-6" chord. Permitting add-7 chords has the added benefit that the wordy "minor-7 flat-5" can be replaced with the more concise "dim add-7", written Co,7. "Half-dim" could be used, e.g. C uphalf-dim is C ^Eb Gb ^Bb. But half-dim is problematic because the slash-circle abbreviation for half-dim is hard to type. Also, in many edos "half-diminished" can refer to lowering by half a sharp.  
All 7th chords follow this same pattern. Likewise, if a 6th is not a P4 or A4 above the 3rd, it's an "add-6" chord. Permitting add-7 chords has the added benefit that the wordy "minor-7 flat-5" can be replaced with the more concise "dim add-7", written Co,7. "Half-dim" could be used, e.g. C uphalf-dim is C ^Eb Gb ^Bb. But half-dim is problematic because the slash-circle abbreviation for half-dim is hard to type. Also, in many EDOs "half-diminished" can refer to lowering by half a sharp.  


In the table below, if a chord is '''bolded''', the comma must be spoken as "add". In non-bolded names, the comma can be omitted when writing the chord, although that might make the chord name less readable.   
In the table below, if a chord is '''bolded''', the comma must be spoken as "add". In non-bolded names, the comma can be omitted when writing the chord, although that might make the chord name less readable.   
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