Cantor's intersection theorem: Difference between revisions

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en>Lim Wei Quan
Undid vandalism and removed the unnecessary joke as well
en>Slawekb
Restored last good version of the article. The new revision is unnecessarily long-winded, and uses the Heine-Borel theorem in the proof (!) which introduces a circularity in the argument of that theorem. Will add "Theorem 1" as an easy corollary.
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[[File:Secondary supertonic chord.png|thumb|Secondary supertonic chord: ii<sup>7</sup>/V - V/V [- V] in C major (a7 - D7 [- G]) {{audio|Secondary supertonic chord.mid|Play}}.]]
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In [[music theory]], the '''secondary supertonic chord''' or '''secondary second''', is a [[secondary dominant|secondary]] [[chord (music)|chord]], but rather than being on the [[dominant (music)|dominant]] it is on the [[supertonic]] [[degree (music)|scale degree]] and rather than [[tonicization|tonicizing]] a degree other than the [[tonic (music)|tonic]], as does a secondary dominant, it creates a [[modulation (music)|temporary]] dominant.<ref>Blatter, Alfred (2007). Revisiting Music Theory: A Guide to the Practice, p.133. ISBN 0-415-97440-2.</ref> Thus the progression [[ii-V-I turnaround|<math>\frac{ii}{V}</math> - <math>\frac{V}{V}</math> - <math>\frac{V}{(I)}</math>]].
 
Examples include ii7/III (F{{music|#}}min.7, in C major).<ref>Russo, William (1973). ''Composing for the Jazz Orchestra'', p.80. ISBN 978-0-226-73209-1.</ref>
 
==See also==
*[[ii-V-I turnaround]]
 
==Sources==
<references/>
 
{{Chords}}
 
[[Category:Secondary chords]]
 
 
{{music-theory-stub}}

Revision as of 13:56, 9 February 2014



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