EUCLIDEAN AND BEYOND
Alternative takes on the classic step sequencer format have long been popular in the modular realm, and as modular has risen in popularity in recent years many of these ideas have begun to seep into more mainstream hardware and software tools.
One such format is the Euclidean sequencer, based on the idea of Euclidean rhythms that was first posited by computer scientist Godfried Toussaint in 2004. Without getting too bogged down in the underlying theory, Euclidean rhythms have their roots in Greek mathematician Euclid’s algorithm and involve using the greatest common divisor of two numbers to place hits in a sequence as evenly as possible across a set timing division. In practice this is actually simpler than you might think – simply set a number of steps for your sequence and a number of events to generate rhythmic pattern. How evenly spaced the resulting pattern is will depend on how neatly the step length divides by the number of events. For example, an eight-step sequence with four events will result in an evenlyspaced pattern of one hit every other step, whereas an eight-step sequence with five events will result in a less even pattern with hits falling on steps 1, 2, 4, 5 and 7.
From a creative point of view, layering up multiple Euclidean-derived patterns is a great way to replicate the interweaving cross rhythms of African and Latin music. The format translates very well to the evolving patterns of synth ‘bleeps’ often associated with modular music or complex ambient melodies too.
In the software realm several DAWs and plugins offer some form of Euclidean sequencing. Ableton’s Rotating Rhythm Generator has it built in, and there are third party Max devices out there too. Reaktor users can find a number of free communitycreated Euclidean tools too. The format has begun to creep into mainstream plugin design as well, with several ‘super synths’ such as Softube Parallels and FXpansion Strobe 2, coming equipped with Euclidean modulators.
Euclidean generators aren’t the only alternative sequencers out there though. Make Noise’s René, say, calls itself a Cartesian sequencer (after Descartes) and uses a grid layout to create sequences that can be modulated across multiple axes. A ‘grid’ format is found in NI’s Reaktor Blocks too.