Kaiveran

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 == A more general to-do list ==
-* more detailed cataloging and explanation of essentially tempered chords
+* more detailed cataloging and explanation of essentially tempered chords, particularly distinguishing the following relations:
-** particularly, drawing a distinction between:
+**'''dual identity,''' where ''a:b:c'' is also ''d:e:f'' but both interpretations close properly (like the [[rootsubminor triad]])
-***'''dual identity chords''' where ''a:b:c'' is also ''d:e:f'' but both interpretations close properly (like the [[rootsubminor triad]])
+***unexpected identities arising by inversion (as in [[the Biosphere]], where 6:7:9 inverts to 10:13:15) also fit here
-*** '''abnormal closure chords''', where a consistent set of member identities is possible, but tempering is required for them to close (like the [[Starling chords|starling tetrad]])
+**'''abnormal closure''', where a consistent set of member identities is possible, but tempering is required for them to close (like the [[Starling chords|starling tetrad]])
-*** not sure where unexpected identities arising by inversion (as in [[the Biosphere]], where 6:7:9 inverts to 10:13:15) fits here
 * being bullish on merging xenrhythm stuff into here
 ** it ain't gonna revive itself!