User:Lhearne/Extra-Diatonic Intervals: Difference between revisions

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* A perfect interval, when raised a semitone is labelled 'augmented', and when lowered a semitone, 'diminished'.
* A perfect interval, when raised a semitone is labelled 'augmented', and when lowered a semitone, 'diminished'.


=== Dave Keenan's Interval Naming Systems ===   
=== Fokker/Keenan Extended-diatonic interval-names ===   


From the 11-limit otonal chord 4:5:6:7:9:11, in addition to the familiar major, minor, subminor, supermajor and neutral thirds, Dave Kennan labelled 5:7 a sub-diminished fifth and 7:11 an augmented fifth. 7:10, the inversion of 5:7, is labelled a diminished. 5:7, therefore, is also an augmented fourth. In terms of sevenths, 4:7 is subminor, 5:9 is minor and 11:6 is neutral.  
From the 11-limit otonal chord 4:5:6:7:9:11, in addition to the familiar major, minor, subminor, supermajor and neutral thirds, Dave Kennan labelled 5:7 a sub-diminished fifth and 7:11 an augmented fifth. 7:10, the inversion of 5:7, is labelled a diminished. 5:7, therefore, is also an augmented fourth. In terms of sevenths, 4:7 is subminor, 5:9 is minor and 11:6 is neutral.