<html><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; ">Dear Nicolas,<div>If you could pardon my misunderstanding, I would like to ask about the secondary tonics. If I understand it better now, it is the concept of transitivity which turns chord-progressions into the focus of the theory rather than simply chords in succession. The progression as such can be compared to a transitive verb whose two valences are saturated by two chords. From this view point I may imagine a strategy to consider higher order dominants as trivalent progressions, (or some theoretical derivative). With secondary tonics it is harder to me to follow. When a tonic is considered as not being intransitive, what are its constituents then? E.g. Is it a progression or a paradigmatic relation between two "tonic" chords (without the necessity to appear in sequence)? Is I - vi a manifestation of a transitive tonic? </div><div>Sincerely</div><div>Thomas <br><div><br class="Apple-interchange-newline"><blockquote type="cite"><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; ">But I do realize that the term "transitivity", as I use it, may lead to misunderstandings and I will think of abandoning it altogether.</span></blockquote></div><br><div> <span class="Apple-style-span" style="border-collapse: separate; border-spacing: 0px 0px; 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; text-align: auto; -khtml-text-decorations-in-effect: none; text-indent: 0px; -apple-text-size-adjust: auto; text-transform: none; orphans: 2; white-space: normal; widows: 2; word-spacing: 0px; "><span class="Apple-style-span" style="border-collapse: separate; border-spacing: 0px 0px; 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; text-align: auto; -khtml-text-decorations-in-effect: none; text-indent: 0px; -apple-text-size-adjust: auto; text-transform: none; orphans: 2; white-space: normal; widows: 2; word-spacing: 0px; "><div>*********************************************************</div><div>Thomas Noll</div><div><a href="http://flp.cs.tu-berlin.de/~noll">http://flp.cs.tu-berlin.de/~noll</a></div><div><a href="mailto:noll@cs.tu-berlin.de">noll@cs.tu-berlin.de</a></div><div>Escola Superior de Musica de Catalunya, Barcelona </div><div>Departament de Teoria i Composició </div><div>Tel (priv.): +34 93 268 75 19</div><div>Tel (mobil): +34 66 368 12 02</div><div><br class="khtml-block-placeholder"></div><div>*********************************************************</div><div><br class="khtml-block-placeholder"></div><div><br><br class="khtml-block-placeholder"></div><br class="Apple-interchange-newline"></span></span> </div><br></div></body></html>