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Hi Everyone,<div><br></div><div>The last time I asked a question like this I got great responses, so I'm going to try again.</div><div><br></div><div>Recently, I've been thinking about triadic sequences that use stepwise descending voice leading. If one restricts one's attention to sequences that use only major triads, there are six or seven, depending on how you count. For instance,</div><div><br></div><div>1. (C, E, G)->(B, D, G)->(A, D, F#)-> </div><div><span class="Apple-tab-span" style="white-space:pre"> </span>(ascending fifths; appears in Schubert all over the place)</div><div>2. (C, E, G)->(B, D, G)->(Bb, D, F)->(A, C, F) </div><div><span class="Apple-tab-span" style="white-space:pre"> </span>(ascending fifth, followed by ascending minor third, appears in Schubert's G major quartet, Quartettsatz, etc.)</div><div><br></div><div>It's interesting to note that sequence 2 can be generated by applying "major third substitution" to sequence 1: you replace the D major triad with Bb major, a major third away. This is generally true.</div><div><br></div><div>So, here's my question. Can anyone come up with good examples of the following sequences -- ideally, where the stepwise descending voice leading is pretty explicit?</div><div><br></div><div>A. (C, E, G)->(Bb, Eb, G)->(Bb, Db, Gb)-></div><div><span class="Apple-tab-span" style="white-space:pre"> </span>(ascending minor thirds)<br></div><div>B. (C, E, G)->(B, D#, F#)->(A#, C#, F#)->(A, C, F)->(G, C, E)</div><div><span class="Apple-tab-span" style="white-space:pre"> </span>(descending semitone followed by ascending fifth)<br></div><div>C. (C, E, G)->(B, D#, F#)->(A, D, F#)->(G#, C#, E#)-></div><div><span class="Apple-tab-span" style="white-space:pre"> </span>(descending semitone followed by ascending minor third)<br></div><div><br></div><div>I'll take the analogous sequences that use only minor triads; and I'll even take isolated progressions, if you have them.</div><div><br></div><div>Thanks,</div><div>DT</div><div><br></div><div><div><div> <span class="Apple-style-span" style="border-collapse: separate; color: rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-align: auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-border-horizontal-spacing: 0px; -webkit-border-vertical-spacing: 0px; -webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0; "><div>Dmitri Tymoczko</div><div>Associate<span class="Apple-converted-space"> </span>Professor of Music</div><div>310 Woolworth Center</div><div>Princeton, NJ 08544-1007</div><div>(609) 258-4255 (ph), (609) 258-6793 (fax)</div><div><a href="http://music.princeton.edu/~dmitri">http://music.princeton.edu/~dmitri</a></div><div><br class="khtml-block-placeholder"></div><div><br class="khtml-block-placeholder"></div><br class="Apple-interchange-newline"></span><br class="Apple-interchange-newline"> </div><br></div></div></body></html>