Euclidean Sequencer For Modular Synthesizers


Club Of The Knobs has introduced the C969 Euclidean Bi-Clock Sequencer, a new modular for Moog style modular synthesizers.

The Euclidean sequencer is a 4-channel gate sequencer, ‘specially suited for he creation of poly-rhythms’. Each sequence can be from 2 to 32 steps in length.

In addition to delivering the gate sequence to two outputs, the ‘silent steps’ in the sequence are available via a ‘Silence Gate Out’.

The idea of ‘Euclidean Rhythms’ was discussed by computer scientist Godfried Toussaint in his paper The Euclidean Algorithm Generates Traditional Musical Rhythms (pdf). He argues that the Euclidean algorithm may be used to generate ‘a large family of rhythms used as timelines (ostinatos), in sub-Saharan African music in particular, and world music in general. These rhythms have the property that their onset patterns are distributed as evenly as possible.’

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Stoicheia – A Euclidean Sequencer For Eurorack Modular Synthesizers

Rebel Technology, a new Eurorack module manufacturer, has introduced Stoicheia – a Eurorack format Euclidean trigger sequencer.

Stoicheia algorithmically generates rhythmic sequences from an input trigger signal. The name comes from the title of Euclid’s book Elements, in which the algorithm was first described.

If you’re not familiar with the idea of Euclidean sequences, Godfried Toussaint has published a paper (.pdf) that looks at how the Euclidean algorithm can be used to create sequences similar to traditional musical rhythms.

Stoicheia is driven by a micro controller which interfaces modular signal levels through discrete transistor networks. It functions by responding to incoming trigger signals using the MCU’s built in hardware interrupts. The step sequences are pre-calculated in the main processor loop and updated when the knobs are turned, which means that the interrupts can be processed very efficiently. This leads to a very low on/off latency.

Stoicheia can process clock signals well into audible frequencies.

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