From: denio@beno.CSS.GOV (Dennis O'Neill)
Newsgroups: rec.music.makers
Subject: Re: hip chord voicings
Date: 7 Apr 92 13:21:48 GMT

-- long posting follows --

Part two of a three-part posting.  Chord stacks in C and three varieties
of Am.  These are used to build the tables shown in part 3.



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          Table 2a.  Triad chord stacks, key of C major

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 1        2        3        4        5        6        7       Degree
                                                                 Chord tone
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 G        A        B        C        D        E        F         fifth
    m3       M3       M3       m3       m3       M3       m3
 E        F        G        A        B        C        D         third
    M3       m3       m3       M3       M3       m3       m3
 C        D        E        F        G        A        B         root
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    I        ii       iii      IV       V        vi       vii    symbol
_____________________________________________________________________________





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          Table 2b.  Triad chord stacks, key of A natural minor

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 1        2        3        4        5        6        7       Degree
                                                                 Chord tone
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 E        F        G        A        B        C        D         fifth
    M3       m3       m3       M3       M3       m3       m3
 C        D        E        F        G        A        B         third
    m3       m3       M3       m3       m3       M3       M3
 A        B        C        D        E        F        G         root
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    I        ii       iii      IV       V        vi       vii    symbol
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          Table 2c.  Triad chord stacks, key of A melodic minor

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 1        2        3        4        5        6        7       Degree
                                                                 Chord tone
_____________________________________________________________________________

 E        F        G#       A        B        C        D         fifth
    M3       m3       M3       M3       m3       m3       m3
 C        D        E        F        G#       A        B         third
    m3       m3       M3       m3       M3       M3       m3
 A        B        C        D        E        F        G#        root
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    I        ii       iii      IV       V        vi       vii    symbol
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          Table 2d.  Triad chord stacks, key of A harmonic minor

_____________________________________________________________________________
 1        2        3        4        5        6        7       Degree
                                                                 Chord tone
_____________________________________________________________________________

 E        F#       G#       A        B        C         D        fifth
    M3       M3       M3       m3       m3       m3        m3
 C        D        E        F#       G#       A         B        third
    m3       m3       M3       M3       M3       m3        m3
 A        B        C        D        E        F#        G#       root
_____________________________________________________________________________
    I        ii       iii      IV       V        vi       vii    symbol
_____________________________________________________________________________






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          Table 3a.  Seventh chord stacks, key of C major

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 1        2        3        4        5        6        7       Degree
                                                                 Chord tone
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 B        C        D        E        F        G        A         seventh
    M3       m3       m3       M3       m3       m3       M3
 G        A        B        C        D        E        F         fifth
    m3       M3       M3       m3       m3       M3       m3
 E        F        G        A        B        C        D         third
    M3       m3       m3       M3       M3       m3       m3
 C        D        E        F        G        A        B         root
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    I        ii       iii      IV       V        vi       vii    symbol
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          Table 3b.  Seventh chord stacks, key of A natural minor

_____________________________________________________________________________
 1        2        3        4        5        6        7       Degree
                                                                 Chord tone
_____________________________________________________________________________

 G        A        B        C        D        E        F         seventh
    m3       M3       M3       m3       m3       M3       m3
 E        F        G        A        B        C        D         fifth
    M3       m3       m3       M3       M3       m3       m3
 C        D        E        F        G        A        B         third
    m3       m3       M3       m3       m3       M3       M3
 A        B        C        D        E        F        G         root
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    I        ii       iii      IV       V        vi       vii    symbol
_____________________________________________________________________________





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          Table 3c.  Seventh chord stacks, key of A melodic minor

_____________________________________________________________________________
 1        2        3        4        5        6        7       Degree
                                                                 Chord tone
_____________________________________________________________________________

 G#       A        B        C        D        E        F         seventh
    M3       M3       m3       m3       m3       M3       m3
 E        F        G#       A        B        C        D         fifth
    M3       m3       M3       M3       m3       m3       m3
 C        D        E        F        G#       A        B         third
    m3       m3       M3       m3       M3       M3       m3
 A        B        C        D        E        F        G#        root
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    I        ii       iii      IV       V        vi       vii    symbol
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          Table 3d.  Seventh chord stacks, key of A harmonic minor

_____________________________________________________________________________
 1        2        3        4        5        6        7       Degree
                                                                 Chord tone
_____________________________________________________________________________

 G#       A        B        C        D        E        F#        seventh
    M3       m3       m3       m3       m3       M3        M3
 E        F#       G#       A        B        C         D        fifth
    M3       M3       M3       m3       m3       m3        m3
 C        D        E        F#       G#       A         B        third
    m3       m3       M3       M3       M3       m3        m3
 A        B        C        D        E        F#        G#       root
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    I        ii       iii      IV       V        vi       vii    symbol
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          Table 4a.  Ninth chord stacks, key of C major

_____________________________________________________________________________
 1        2        3        4        5        6        7       Degree
                                                                 Chord tone
_____________________________________________________________________________

 D        E        F        G        A        B        C         ninth
    m3       M3       m3       m3       M3       M3       m3
 B        C        D        E        F        G        A         seventh
    M3       m3       m3       M3       m3       m3       M3
 G        A        B        C        D        E        F         fifth
    m3       M3       M3       m3       m3       M3       m3
 E        F        G        A        B        C        D         third
    M3       m3       m3       M3       M3       m3       m3
 C        D        E        F        G        A        B         root
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    I        ii       iii      IV       V        vi       vii    symbol
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          Table 4b.  Ninth chord stacks, key of A natural minor

_____________________________________________________________________________
 1        2        3        4        5        6        7       Degree
                                                                 Chord tone
_____________________________________________________________________________


 B        C        D        E        F        G        A         ninth
    M3       m3       m3       M3       m3       m3       M3
 G        A        B        C        D        E        F         seventh
    m3       M3       M3       m3       m3       M3       m3
 E        F        G        A        B        C        D         fifth
    M3       m3       m3       M3       M3       m3       m3
 C        D        E        F        G        A        B         third
    m3       m3       M3       m3       m3       M3       M3
 A        B        C        D        E        F        G         root
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    I        ii       iii      IV       V        vi       vii    symbol
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          Table 4c.  Ninth chord stacks, key of A melodic minor

_____________________________________________________________________________
 1        2        3        4        5        6        7       Degree
                                                                 Chord tone
_____________________________________________________________________________

 B        C        D        E        F        G#       A         ninth
    m3       m3       m3       M3       m3       M3       M3
 G#       A        B        C        D        E        F         seventh
    M3       M3       m3       m3       m3       M3       m3
 E        F        G#       A        B        C        D         fifth
    M3       m3       M3       M3       m3       m3       m3
 C        D        E        F        G#       A        B         third
    m3       m3       M3       m3       M3       M3       m3
 A        B        C        D        E        F        G#        root
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    I        ii       iii      IV       V        vi       vii    symbol
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          Table 4d.  Ninth chord stacks, key of A harmonic minor

_____________________________________________________________________________
 1        2        3        4        5        6        7       Degree
                                                                 Chord tone
_____________________________________________________________________________

 B        C        D        E        F#       G#       A         ninth
    m3       m3       m3       M3       M3       M3        m3
 G#       A        B        C        D        E        F#        seventh
    M3       m3       m3       m3       m3       M3        M3
 E        F#       G#       A        B        C         D        fifth
    M3       M3       M3       m3       m3       m3        m3
 C        D        E        F#       G#       A         B        third

    m3       m3       M3       M3       M3       m3        m3
 A        B        C        D        E        F#        G#       root
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    I        ii       iii      IV       V        vi       vii    symbol
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          Table 5a.  Eleventh chord stacks, key of C major

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 1        2        3        4        5        6        7       Degree
                                                                 Chord tone
_____________________________________________________________________________

 F        G        A        B        C        D        E         eleventh
    m3       m3       M3       M3       m3       m3       M3
 D        E        F        G        A        B        C         ninth
    m3       M3       m3       m3       M3       M3       m3
 B        C        D        E        F        G        A         seventh
    M3       m3       m3       M3       m3       m3       M3
 G        A        B        C        D        E        F         fifth
    m3       M3       M3       m3       m3       M3       m3
 E        F        G        A        B        C        D         third
    M3       m3       m3       M3       M3       m3       m3
 C        D        E        F        G        A        B         root
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    I        ii       iii      IV       V        vi       vii    symbol
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          Table 5b.  Eleventh chord stacks, key of A natural minor

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 1        2        3        4        5        6        7       Degree
                                                                 Chord tone
_____________________________________________________________________________


 D        E        F        G        A        B        C         eleventh
    m3       M3       m3       m3       M3       M3       m3
 B        C        D        E        F        G        A         ninth
    M3       m3       m3       M3       m3       m3       M3
 G        A        B        C        D        E        F         seventh
    m3       M3       M3       m3       m3       M3       m3
 E        F        G        A        B        C        D         fifth
    M3       m3       m3       M3       M3       m3       m3
 C        D        E        F        G        A        B         third
    m3       m3       M3       m3       m3       M3       M3
 A        B        C        D        E        F        G         root

_____________________________________________________________________________
    I        ii       iii      IV       V        vi       vii    symbol
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_____________________________________________________________________________

          Table 5c.  Eleventh chord stacks, key of A melodic minor

_____________________________________________________________________________
 1        2        3        4        5        6        7       Degree
                                                                 Chord tone
_____________________________________________________________________________

 D        E        F        G#       A        B        C         eleventh
    m3       M3       m3       M3       M3       m3       m3
 B        C        D        E        F        G#       A         ninth
    m3       m3       m3       M3       m3       M3       M3
 G#       A        B        C        D        E        F         seventh
    M3       M3       m3       m3       m3       M3       m3
 E        F        G#       A        B        C        D         fifth
    M3       m3       M3       M3       m3       m3       m3
 C        D        E        F        G#       A        B         third
    m3       m3       M3       m3       M3       M3       m3
 A        B        C        D        E        F        G#        root
_____________________________________________________________________________
    I        ii       iii      IV       V        vi       vii    symbol
_____________________________________________________________________________





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          Table 5d.  Eleventh chord stacks, key of A harmonic minor

_____________________________________________________________________________
 1        2        3        4        5        6        7       Degree
                                                                 Chord tone
_____________________________________________________________________________

 D        E        F#       G#       A        B        C         eleventh
    m3       M3       M3       M3       m3       m3        m3
 B        C        D        E        F#       G#       A         ninth
    m3       m3       m3       M3       M3       M3        m3
 G#       A        B        C        D        E        F#        seventh
    M3       m3       m3       m3       m3       M3        M3
 E        F#       G#       A        B        C         D        fifth
    M3       M3       M3       m3       m3       m3        m3
 C        D        E        F#       G#       A         B        third
    m3       m3       M3       M3       M3       m3        m3
 A        B        C        D        E        F#        G#       root
_____________________________________________________________________________
    I        ii       iii      IV       V        vi       vii    symbol
_____________________________________________________________________________



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          Table 6a.  Thirteenth chord stacks, key of C major

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 1        2        3        4        5        6        7       Degree
                                                                 Chord tone
_____________________________________________________________________________

 A        B        C        D        E        F        G         thirteenth
    M3       M3       m3       m3       M3       m3       m3
 F        G        A        B        C        D        E         eleventh
    m3       m3       M3       M3       m3       m3       M3
 D        E        F        G        A        B        C         ninth
    m3       M3       m3       m3       M3       M3       m3
 B        C        D        E        F        G        A         seventh
    M3       m3       m3       M3       m3       m3       M3
 G        A        B        C        D        E        F         fifth
    m3       M3       M3       m3       m3       M3       m3
 E        F        G        A        B        C        D         third
    M3       m3       m3       M3       M3       m3       m3
 C        D        E        F        G        A        B         root
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    I        ii       iii      IV       V        vi       vii    symbol
_____________________________________________________________________________





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          Table 6b.  Thirteenth chord stacks, key of A natural minor

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 1        2        3        4        5        6        7       Degree
                                                                 Chord tone
_____________________________________________________________________________

 F        G        A        B        C        D        E         thirteenth
    m3       m3       M3       M3       m3       m3       M3
 D        E        F        G        A        B        C         eleventh
    m3       M3       m3       m3       M3       M3       m3
 B        C        D        E        F        G        A         ninth
    M3       m3       m3       M3       m3       m3       M3
 G        A        B        C        D        E        F         seventh
    m3       M3       M3       m3       m3       M3       m3
 E        F        G        A        B        C        D         fifth
    M3       m3       m3       M3       M3       m3       m3
 C        D        E        F        G        A        B         third
    m3       m3       M3       m3       m3       M3       M3
 A        B        C        D        E        F        G         root
_____________________________________________________________________________
    I        ii       iii      IV       V        vi       vii    symbol






_____________________________________________________________________________

          Table 6c.  Thirteenth chord stacks, key of A melodic minor

_____________________________________________________________________________
 1        2        3        4        5        6        7       Degree
                                                                 Chord tone
_____________________________________________________________________________

 F        G#       A        B        C        D        E         thirteenth
    m3       M3       M3       m3       m3       m3       M3
 D        E        F        G#       A        B        C         eleventh
    m3       M3       m3       M3       M3       m3       m3
 B        C        D        E        F        G#       A         ninth
    m3       m3       m3       M3       m3       M3       M3
 G#       A        B        C        D        E        F         seventh
    M3       M3       m3       m3       m3       M3       m3
 E        F        G#       A        B        C        D         fifth
    M3       m3       M3       M3       m3       m3       m3
 C        D        E        F        G#       A        B         third
    m3       m3       M3       m3       M3       M3       m3
 A        B        C        D        E        F        G#        root
_____________________________________________________________________________
    I        ii       iii      IV       V        vi       vii    symbol
_____________________________________________________________________________





_____________________________________________________________________________

          Table 6d.  Thirteenth chord stacks, key of A harmonic minor

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 1        2        3        4        5        6        7       Degree
                                                                 Chord tone
_____________________________________________________________________________

 F#       G#       A        B        C        D        E         thirteenth
    M3       M3       m3       m3       m3       m3        M3
 D        E        F#       G#       A        B        C         eleventh
    m3       M3       M3       M3       m3       m3        m3
 B        C        D        E        F#       G#       A         ninth
    m3       m3       m3       M3       M3       M3        m3
 G#       A        B        C        D        E        F#        seventh
    M3       m3       m3       m3       m3       M3        M3
 E        F#       G#       A        B        C         D        fifth
    M3       M3       M3       m3       m3       m3        m3
 C        D        E        F#       G#       A         B        third
    m3       m3       M3       M3       M3       m3        m3
 A        B        C        D        E        F#        G#       root
_____________________________________________________________________________

--
Dennis O'Neill (denio@seismo.css.gov)