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Tall Tertians: 9ths and 13ths


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Tall Tertians: 9ths and 13ths

  2. 2. Tertian Harmonies <ul><li>Tertian refers to chords built on thirds. </li></ul><ul><ul><li>This is what we’ve been doing for the last three semesters </li></ul></ul><ul><li>We hear other types of harmony in some music </li></ul><ul><ul><li>Quartal- Music of Paul Hindemith and Hugo Distler </li></ul></ul><ul><ul><ul><li>These composers are sometimes considered Neo-Baroque </li></ul></ul></ul><ul><ul><li>Secundal- Certain folk music, particularly the Ganga music of Bosnia </li></ul></ul>
  3. 3. Extended Tertian Chords <ul><li>We started life with a triad </li></ul><ul><li>Then we got bored, and added a seventh </li></ul><ul><ul><li>This is a third above the top note of the triad </li></ul></ul><ul><li>When ever you get bored, just add another third </li></ul><ul><li>Adding a third to a 7 th chord makes a 9 th chord </li></ul><ul><li>Adding another third makes an eleventh </li></ul><ul><li>One more makes a 13 th </li></ul><ul><li>Beyond a 13 th , you just get back to the original triad </li></ul>
  4. 4. The genesis of the extended tertian
  5. 5. The Ninth Chord <ul><li>9 th chords add a third above the top 7 th of a chord </li></ul><ul><li>Typically occurs as a V 9 , but can also be with other chords (ii 9 ) </li></ul><ul><li>As a V 9 : </li></ul><ul><ul><li>In a Major key, the ninth will be Major </li></ul></ul><ul><ul><li>In a minor key, the ninth will be minor </li></ul></ul><ul><ul><li>V 9 indicates a Major ninth </li></ul></ul><ul><ul><li>V -9 indicates a minor ninth </li></ul></ul><ul><li>9 TH REALLY MEANS 9 TH , SO MAKE SURE YOU WRITE IT MORE THAN AN OCTAVE ABOVE THE BASS! </li></ul>
  6. 6. 9 th and 7 th : BFF <ul><li>9 th chords are similar to 7 th chords </li></ul><ul><li>The upper note was originally thought of as a dissonance </li></ul><ul><li>Because of this, the 9 th or 7 th resolves downward, to release the tension caused by the dissonance </li></ul><ul><li>IN A 9 TH CHORD, THE 9 TH SHOULD RESOLVE DOWN BY STEP </li></ul>
  7. 7. Dilemma… <ul><li>The 9 th chord has 5 notes. We write in four voices. What ’s a theorist to do? </li></ul><ul><li>The first chord member that we think of to omit is the 5 th . We ’ve done this all along, so why stop now. </li></ul><ul><li>WHEN WRITING A 9 TH CHORD, IT IS PREFERABLE TO OMIT THE FIFTH </li></ul>
  8. 8. In summary… <ul><li>9 th chords must have a 9 th (not a second) </li></ul><ul><li>Omit the 5 th </li></ul><ul><li>7 th and 9 th resolve down by step </li></ul>
  9. 9. Example C: V 9 I
  10. 10. Applied Chords <ul><li>There is an exception to early materials </li></ul><ul><li>When writing an applied dominant, the quality of the ninth is usually dependent on the subsequent chord, as opposed to the key you ’re in </li></ul><ul><li>Example II.1.4 </li></ul><ul><ul><li>The V 9 /ii has a C-natural, because e-minor (the resolution chord) has a C-natural </li></ul></ul>
  11. 11. Your turn <ul><li>Please write the following: </li></ul><ul><ul><li>1. G major: V 9 I </li></ul></ul><ul><ul><li>2. C minor: V -9 I </li></ul></ul><ul><ul><li>3. A major: V 9 /ii ii </li></ul></ul><ul><ul><li>4. f minor: V -9 /V V </li></ul></ul>
  12. 12. How did you do?
  13. 13. The 13 th chord <ul><li>Similar to the 9 th , but it ’s a 13 th </li></ul><ul><li>You should omit the 5 th , 9 th , and 11 th </li></ul><ul><ul><li>That leaves the root, third, seventh, and thirteenth </li></ul></ul><ul><li>They almost always have a dominant function </li></ul><ul><li>THE 13 TH NORMALLY RESOLVES DOWN BY A 3 RD . </li></ul>
  14. 14. Your turn <ul><li>Please write the following: </li></ul><ul><ul><li>G minor: V -13 I </li></ul></ul><ul><ul><li>D major: V 13 I </li></ul></ul>
  15. 15. And?