So that's why it requires a computer and a program like Bounce Metronome Pro to explore these rhythms properly.Īs with the other polyrhythms, even more so perhaps, practice with these rhythms can help you develop rhythmic independence. It's almost impossible for a human player to keep this sort of thing up consistently without help from a computer. And they don't exactly align, sometimes the faster rhythm is first and sometimes the slower rhythm, and they align more and more closely the more the rhythm goes on. where each number is the sum of the previous two in the sequence) -, so for instance 8 beats of the faster rhythm almost coincide with 5 of the slower, then 13 of the faster and 8 of the slower, 21 of the faster and 13 of the slower etc. For instance with the golden ratio rhythm, then the beats need to almost align at Fibonacci numbers (1, 1, 2, 3, 5, 8, 13, 21. You really need a computer to play these rhythms - accurately anyway. What the intervals sound like is also very timbre dependent, especially for the more "xenharmonic" intervals - an interval that sounds wonderful on one instrument may not work at all on another instrument. Ones that are as far away from pure harmonics as this can sound pleasant.
Notes that are slightly "out of tune" with pure harmonics are the ones most likely to jar on the ear. There "most inharmonic" doesn't mean it is unpleasant sounding. The ones based on the golden ratio are particularly interesting as they combine the "most inharmonic musical interval" with the "most polyrhythmic rhythm". The beats drift in and out of phase with the bar line and in the case of Π and ρ the beats never hit the bar line exactly after the first note. These have a fractional number of beats to the bar, say 2.2 beats to a measure - or even Π or the golden ratio ρ. See the youtube video description for details This shows the most inharmonic possible musical interval (hardest to approximate with a pure ratio) and the most polyrhythmic rhythm (in the same sense). Golden Ratio (In)Harmonic Polyrhythm Metronome
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