From: denio@beno.CSS.GOV (Dennis O'Neill)
Newsgroups: rec.music.makers
Subject: Re: hip chord voicings
Date: 7 Apr 92 13:22:47 GMT

-- long posting follows --


Part 3 of a 3-part posting.  This is the meat derived from the previous
two sections.



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       Table 7.  Naturally-occurring triads, grouped by chord type

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 Chord type          Intervals    Semitones         Scale source
 and chord name        3   5      3 5          M       nm     mm    hm
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 Major
 major                M3  m3      4 7         1,4,5   3,6,7   5,6   4,5

 Minor
 minor                m3  M3      3 7         2,3,6   1,4,5   1,4   1,2

 Diminished or
 half-diminished
 (ambiguous)
                      m3  m3      3 6         7       2       2,7   6,7

 Other
 Major #5             M3  M3      4 8                         3     3

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               Key for Tables 7-11.

Interval       Meaning
--------       -------
M3             major 3rd, 4 semitones
m3             minor 3rd, 3 semitones

Semitones      Meaning
---------      -------
a number       number of semitones of chord tone above chord root

Scale source   Meaning
------------   -------
M              major scale
nm             natural minor scale
mm             melodic minor scale
hm             harmonic minor scale

Note:  if one desires a more conventional notation in the "Semitones" column,
replace the numbers by the corresponding interval names from Table 1.




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     Table 8.  Naturally-occurring seventh chords, grouped by chord type

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 Chord type           Intervals    Semitones         Scale source
 Chord name           3   5   7    3 5  7      M       nm      mm   hm
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 Major
 M7                  M3  m3  M3    4 7 11      1,4     3,6     6

 Dominant
 7                   M3  m3  m3    4 7 10      5       7       5    4,5

 Minor
 m7                  m3  M3  m3    3 7 10      2,3,6   1,4,5   4    2

 Half-diminished
 m7 b5               m3  m3  M3    3 6 10      7       2       2    6,7

 Other
 m Maj 7             m3  M3  M3    3 7 11                      1    1
 M7 #5               M3  M3  m3    4 8 11                      3    3
 diminished          m3  m3  m3    3 6 9                       7

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      Table 9.  Naturally-occurring ninth chords, grouped by chord type

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 Chord type           Intervals      Semitones       Scale source
 Chord name         3   5   7   9    3 5  7  9   M     nm    mm   hm
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 Major
 M9                M3  m3  M3  m3    4 7 11 14   1,4   3,6
 M7 #9             M3  m3  M3  M3    4 7 11 15               6

 Dominant
 9                 M3  m3  m3  M3    4 7 10 14   5     7          4,5
 7 b9              M3  m3  m3  m3    4 7 10 13               5

 Minor
 m9                m3  M3  m3  M3    3 7 10 14   2,6   1,4   4
 m7 b9             m3  M3  m3  m3    3 7 10 13   3     5          2

 Half-diminished
 m9 b5             m3  m3  M3  M3    3 6 10 14                    6
 m7 b5 b9          m3  m3  M3  m3    3 6 10 13   7     2     2    7

 Other
 m9 nat7           m3  M3  M3  m3    3 7 11 14               1    1
 M9 #5             M3  M3  m3  m3    4 8 11 14               3    3
 dim b9            m3  m3  m3  M3    3 6 9 13                7

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    Table 10.  Naturally-occurring eleventh chords, grouped by chord type
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Chord type             Intervals         Semitones        Scale source
 Chord name         3   5   7   9  11     3 5  7  9 11   M   nm   mm   hm
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 Major
 M11               M3  m3  M3  m3  m3     4 7 11 14 17   1     3
 M9 #11            M3  m3  M3  m3  M3     4 7 11 14 18   4     6
 M7 #9 #11         M3  m3  M3  M3  m3     4 7 11 15 18               6

 Dominant
 11                M3  m3  m3  M3  m3     4 7 10 14 17   5     7          5
 11 b9             M3  m3  m3  m3  M3     4 7 10 13 17               5
 9 #11             M3  m3  m3  M3  M3     4 7 10 14 18                    4

 Minor
 m11               m3  M3  m3  M3  m3     3 7 10 14 17   2,6   1,4
 m11 b9            m3  M3  m3  m3  M3     3 7 10 13 17   3     5          2
 m9 #11            m3  M3  m3  M3  M3     3 7 10 14 18               4

 Half-diminished
 m11 b5            m3  m3  M3  M3  m3     3 6 10 14 17                    6
 m11 b5 b9         m3  m3  M3  m3  M3     3 6 10 13 17   7     2     2
 m7 b5 b9 b11      m3  m3  M3  m3  m3     3 6 10 13 16                    7

 Other
 m11 nat7          m3  M3  M3  m3  m3     3 7 11 14 17               1    1
 M9 #5 #11         M3  M3  m3  m3  M3     4 8 11 14 18                    3
 M11 #5            M3  M3  m3  m3  m3     4 8 11 14 17               3
 dim b9 b11        m3  m3  m3  M3  m3     3 6  9 13 16               7

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   Table 11.  Naturally-occurring thirteenth chords, grouped by chord type
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Chord type               Intervals              Semitones      Scale source
 Chord name         3   5   7   9  11  13     3 5  7  9 11 13   M  nm  mm  hm
_______________________________________________________________________________

 Major
 M13               M3  m3  M3  m3  m3  M3     4 7 11 14 17 21   1   3
 M13 #11           M3  m3  M3  m3  M3  m3     4 7 11 14 18 21   4   6
 M13 #9            M3  m3  M3  M3  m3  m3     4 7 11 15 18 21           6

 Dominant
 13                M3  m3  m3  M3  m3  M3     4 7 10 14 17 21   5   7
 11 b13            M3  m3  m3  M3  m3  m3     4 7 10 14 17 20              5
 13 #11            M3  m3  m3  M3  M3  m3     4 7 10 14 18 21              4
 11 b9 b13         M3  m3  m3  m3  M3  m3     4 7 10 13 17 20           5

 Minor
 m13               m3  M3  m3  M3  m3  m3     3 7 10 14 17 20   6   1
 m13 b9            m3  M3  m3  m3  M3  m3     3 7 10 13 17 20   3   5
 m11 #13           m3  M3  m3  M3  m3  M3     3 7 10 14 17 21   2   4
 m11 b9 #13        m3  M3  m3  m3  M3  M3     3 7 10 13 17 21              2
 m9 #11 #13        m3  M3  m3  M3  M3  m3     3 7 10 14 18 21           4

 Half-diminished
 m13 b5            m3  m3  M3  M3  m3  m3     3 6 10 14 17 20              6
 m13 b5 b9         m3  m3  M3  m3  M3  m3     3 6 10 13 17 20   7   2
 m13 b5 b9 b11     m3  m3  M3  m3  m3  M3     3 6 10 13 16 20              7
 m11 b5 b9 #13     m3  m3  M3  m3  M3  M3     3 6 10 13 17 21           2

 Other
 m11 nat7 #13      m3  M3  M3  m3  m3  M3     3 7 11 14 17 21              1
 M13 #5 #11        M3  M3  m3  m3  M3  m3     4 8 11 14 18 21              3
 m13 nat7          m3  M3  M3  m3  m3  m3     3 7 11 14 17 20           1
 M13 #5            M3  M3  m3  m3  m3  M3     4 8 11 14 17 21           3
 dim b9 b11 b13    m3  m3  m3  M3  m3  M3     3 6  9 13 16 20           7
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--
Dennis O'Neill (denio@seismo.css.gov)
Newsgroups: rec.music.makers