I’m going to be completely honest here – I don’t get the maths and science behind this new EP from Jono Podmore’s longstanding Kumo alias. Here’s what Podmore has to say:
One of the many things that Euclid, the 4th century BC Greek mathematician and the Father of Geometry, left us is the first algorithm: a method to compute the greatest common divisor between 2 given integers. The algorithm is used in particle physics and computer science, but in 2005 Canadian mathematician Godfried Toussaint noticed something extraordinary when he applied it to musical rhythm. Using the algorithm to distribute beats and silences as evenly as possible in a bar generates almost all of the most important world music rhythms, from Sub-Saharan African music in particular. For example, if you have a bar with 8 pulses and you want to have 5 beats in that bar, the way the algorithm places the beats gives us the Cuban “Cinquillo” rhythm, which has its roots in West African music.
The examples are endless: 13 into 24 gives us a whole series of rhythms used by the Aka Pygmies of the upper Sangha. Euclid lived his entire life in Alexandria in Egypt, and Herodotus said that the basis of Greek culture was African. Maybe there’s another strand to that relationship we’ve only just uncovered.
The 3 tracks on this EP use all the Euclidean rhythms in bars of 9, 12, and 13, but going further, as the algorithm is used to generate the harmony too. Chords and modes can all be derived by spacing the notes across the octave, for example, 6 distributed evenly across 12 generates a whole tone scale.
– Jono Podmore, notes to accompany Euclidean Patterns – https://sound-space.bandcamp.com/album/euclidean-patterns
See, it’s like I understand the words – individually – but when you put them all together into three paragraphs, that GCSE A in Maths from 1993 suddenly seems pretty useless. So I’ll do what I usually do and focus on what I can hear instead.
‘South African Euclid’ begins with a wiry tendril of electrical current which provides the constantly-evolving thread weaving throughout the track, sometimes keeping itself quietly amused in the background and at others rising noisily to the surface; there it vies with a squelchy, acidic pattern, breathy vocal samples and a juddering African rhythm developed with the Euclidean method. The EP’s second track, the wittily-named ‘Euclid On The Block’, carries a latent urgency that could be a restrained form of drill and bass, all frantic percussion and murmuring synth sounds that threaten to coalesce into a club-friendly synchronicity but which instead prowl edgily around a menacing, omnipresent bass tone.
The EP’s final track, ‘Thirteenth Euclid’, sits somewhere in between its two Euclidean siblings. Opening with overlapping organ tones, the piece opens out into what feels like a delicious electronic bossa nova, only with unpredictable synth interjections like alien transmissions issued from a distant galaxy where you might ordinarily expect to hear a Stan Getz solo.
It should come as no surprise that Podmore has chosen to infuse this EP with this type of intellectual exploration of the science underpinning rhythms. He currently holds down a job as the Professor of Popular Music at Cologne’s Hochschule für Muzik, whose professorial alumni include Karlheinz Stockhausen; one imagines that Stockhausen would have approved of the deconstructivist approach to applying these mathematical concepts to musical theory and the exacting precision with which Podmore has developed the three tracks included on the EP, while also leaving room for sounds to float free of their grid-like shackles.
Euclidean Patterns by Kumo was released August 14 2020 by Sound-Sense.
(c) 2020 Documentary Evidence