Delta-rational chord: Difference between revisions

Line 104:

To further generalize, one could consider chords where differences between frequency deltas ('''precession''') are commensurable, while deltas themselves may not be. This corresponds to chords where differences between various interference beatings go in and out of sync in a regular manner. One example would be a +(sqrt(2) − 1) +sqrt(2) +(sqrt(2) + 1) chord.

As precession is the second difference of frequency, we similarly have the notions of delta^3, delta^4, ... rationality.

As precession is the second difference of frequency, we similarly have the notions of delta^3, delta^4, ... rationality. The practical consequences of these higher differences are as of yet speculative.

== See also ==

* [[Linear chord]] - With linear chords, all the frequency differences between adjacent notes are simply related (i.e. equal or in a simple ratio like 1:2). With DR chords, some of them are, but not necessarily all of them.

@@ Line 104: / Line 104: @@
 To further generalize, one could consider chords where differences between frequency deltas ('''precession''') are commensurable, while deltas themselves may not be. This corresponds to chords where differences between various interference beatings go in and out of sync in a regular manner. One example would be a +(sqrt(2) &minus; 1) +sqrt(2) +(sqrt(2) + 1) chord.
-As precession is the second difference of frequency, we similarly have the notions of delta^3, delta^4, ... rationality.
+As precession is the second difference of frequency, we similarly have the notions of delta^3, delta^4, ... rationality. The practical consequences of these higher differences are as of yet speculative.
 == See also ==
 * [[Linear chord]] - With linear chords, all the frequency differences between adjacent notes are simply related (i.e. equal or in a simple ratio like 1:2). With DR chords, some of them are, but not necessarily all of them.