Talk:Triad (music)

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[edit] definition of triad

A triad is always a 3-note chord built in thirds. The previous wording of the article suggested that it could be a 3-note chord built in some other way. 3-note chords built otherwise are more accurately called tri-chords. Also, the article delved into some marginal information relating to triads but without citation. Because they were so tangential, I deleted them. I understand my changes were reverted once. I hope this clarification helps explain the changes I've made once again. Jordan 20:16, 28 May 2008 (UTC)

[edit] Diatonic and chromatic

The article uses the term "diatonic" without adequate explanation. This term, along with chromatic, is the cause of serious uncertainties at several Wikipedia articles, and in the broader literature. Some of us thought that both terms needed special coverage, so we started up a new article: Diatonic and chromatic. Why not have a look, and join the discussion? Be ready to have comfortable assumptions challenged! – Noetica^♬♩ Talk 06:20, 6 April 2007 (UTC)

[edit] Number of essentially different trichords

This is a fun exercise in combinatorics which I think would be an interesting wikipedia article (or section thereof). I think this article would be the most natural home for this topic. Then again, one can do the same for tetrachords etc but I don't think those are as useful. Btyner (talk) 03:10, 15 December 2007 (UTC)

I can't make out what the antecedent of the "this" is supposed to be in the above remarks. There are, of course, nineteen possible non-enharmonically, non-transpositionally equivalent triadic subsets of the chromatic scale. By calling triads "trichords" one would seem to be invoking the method of Allen Forte, however, who counts inversionally related pairs as single sets and thus gets only twelve of what he calls "trichords". Standard combinatorics simply says there are 12! / (3! 9!) three-membered subsets of a twelve-membered superset and nothing about transposition or enharmonic equivalence. You can easily reduce 12! / (3! 9!) in your head (without recourse to a calculator or to pencil and paper) to 10 x 11 x 2 = 220. This figure includes twelve positions of eighteen triads (12 x 18 = 216) and four positions of the augmented triad. TheScotch (talk) 08:31, 15 December 2007 (UTC)