Delta-rational chord: Difference between revisions
| Line 122: | Line 122: | ||
[[Category:Chords]] | [[Category:Chords]] | ||
== Higher-order differences of frequency == | == Higher-order differences of frequency == | ||
{{novelty}} | |||
Generalizing, one could consider chords where differences between its frequency deltas (as Tom Price has called them, '''precessions''') are commensurable, while the deltas themselves may not be. This corresponds to chords where differences between various interference beatings go in and out of sync in a periodic manner. One precession-rational chord is 5:5.4142...:6.8284...:9.2426..., a +(sqrt(2) − 1) +sqrt(2) +(sqrt(2) + 1) chord. | Generalizing, one could consider chords where differences between its frequency deltas (as Tom Price has called them, '''precessions''') are commensurable, while the deltas themselves may not be. This corresponds to chords where differences between various interference beatings go in and out of sync in a periodic manner. One precession-rational chord is 5:5.4142...:6.8284...:9.2426..., a +(sqrt(2) − 1) +sqrt(2) +(sqrt(2) + 1) chord. | ||