Keemic chords: Difference between revisions

m Improve readability; recategorize
Rework into an article to collect all supermagic chords
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A '''magical seventh''' is an [[11-limit]] [[essentially tempered dyadic chord]] consisting of three sharp [[6/5|classical minor thirds]] and a [[8/7|septimal whole tone]], which closes at the [[octave]] since both [[100/99]] and [[385/384]] (and therefore [[875/864]]) are [[tempering out|tempered out]]. This means that in the 11-limit [[supermagic]] [[planar temperament]] tempering these out, the chord is the tempering of  
A '''supermagic chord''' is an [[11-odd-limit]] [[essentially tempered chord]] in the [[supermagic]] temperament. Since 100/99 is tempered out, [[ptolemismic chords]] are also supermagic chords; since 385/384 is tempered out, [[keenanismic chords]] are also supermagic chords. Aside from these, there are also essentially supermagic tempered chords.
 
The most basic of these is the '''magical seventh chord''', consisting of three sharp [[6/5|classical minor thirds]] and a [[8/7|septimal whole tone]], which closes at the [[octave]] since both [[100/99]] and [[385/384]] (and therefore [[875/864]]) are [[tempering out|tempered out]]. This means the chord is the tempering of  
* 1–6/5–16/11–7/4, with steps 6/5, 6/5, 6/5, 8/7.  
* 1–6/5–16/11–7/4, with steps 6/5, 6/5, 6/5, 8/7.