Delta-rational chord: Difference between revisions

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* the dyad formed by its lowermost two notes;

* its ''delta signature'' which has integer ratios, i.e. a list of (scaled) frequency increases between successive notes, their ratios showing the simple rational relationships, with a + before each increase. Note that it is whether the deltas are rationally related ''to each other'' that defines DR, not whether the deltas are related to the frequency of the root.

* Two delta-signatures are equivalent if one can be obtained from the other by scaling by a positive real number. For example, +1+e+2 is equivalent to +φ+eφ+2φ, and both signatures imply a delta-rational chord.

* Two delta signatures are equivalent if one can be obtained from the other by scaling by a positive real number. For example, +2+e+3 is equivalent to +2φ+eφ+3φ, and both signatures imply a delta-rational chord.

For example, a chord with a +1+2+1 delta signature is ''a'':(''a''+1):(''a''+3):(''a''+4) for some possibly irrational ''a''.

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 * the dyad formed by its lowermost two notes;
 * its ''delta signature'' which has integer ratios, i.e. a list of (scaled) frequency increases between successive notes, their ratios showing the simple rational relationships, with a + before each increase. Note that it is whether the deltas are rationally related ''to each other'' that defines DR, not whether the deltas are related to the frequency of the root.
-* Two delta-signatures are equivalent if one can be obtained from the other by scaling by a positive real number. For example, +1+e+2 is equivalent to +φ+eφ+2φ, and both signatures imply a delta-rational chord.
+* Two delta signatures are equivalent if one can be obtained from the other by scaling by a positive real number. For example, +2+e+3 is equivalent to +2φ+eφ+3φ, and both signatures imply a delta-rational chord.
 For example, a chord with a +1+2+1 delta signature is ''a'':(''a''+1):(''a''+3):(''a''+4) for some possibly irrational ''a''.