Diminished seventh chord: Difference between revisions

Classical diminished is now canon
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== In temperaments ==
== In temperaments ==
 
If [[648/625]] is [[tempering out|tempered out]], as in the [[diminished (temperament)|diminished]] temperament (named for this chord), a stack of three [[~]][[6/5]] minor thirds is tempered to leave another ~6/5 to close the octave. The ~[[36/25]] diminished fifth is equated with its [[complement]] (~[[25/18]]), and the ~[[216/125]] diminished seventh is equated with a ~[[5/3]] major sixth, forming a [[25-odd-limit]] [[essentially tempered chord]]:
If [[648/625]] is [[tempering out|tempered out]], as in the [[diminished (temperament)]] temperament (named for this chord), a stack of three [[~]][[6/5]] minor thirds is tempered to leave another ~6/5 to close the octave. The ~[[36/25]] diminished fifth is equated with its [[complement]] (~[[25/18]]), and the ~[[216/125]] diminished seventh is equated with a ~[[5/3]] major sixth, forming a [[25-odd-limit]] [[essentially tempered chord]]:


* (Diminished) 1 – 6/5 – 25/18 – 5/3
* (Diminished) 1 – 6/5 – 25/18 – 5/3