Recently I’ve been playing around with Euclidean rhythms. Exploring stacked polyrhythms and asymmetrical looping. I tend to prefer it’s output when not using gcd-based numbers (the original paper used it to recreate middle-eastern/traditional rhythms).

The Python implementation I am using

# Euclidean Rhythm in vanilla py3

def euclidean_rhythm(beats, pulses):
    """Computes Euclidean rhythm of beats/pulses

    Examples:
        euclidean_rhythm(8, 5) -> [1, 0, 1, 0, 1, 0, 1, 1]
        euclidean_rhythm(7, 3) -> [1, 0, 0, 1, 0, 1, 0]

    Args:
        beats  (int): Beats of the rhythm
        pulses (int): Pulses to distribute. Should be <= beats

    Returns:
        list: 1s are pulses, zeros rests
    """
    if pulses is None or pulses < 0:
        pulses = 0
    if beats is None or beats < 0:
        beats = 0
    if pulses > beats:
        beats, pulses = pulses, beats
    if beats == 0:
        return []

    rests = beats - pulses
    result = [1] * pulses
    pivot = 1
    interval = 2

    while rests > 0:
        if pivot > len(result):
            pivot = 1
            interval += 1

        result.insert(pivot, 0)

        pivot += interval
        rests -= 1

    return result

Also on a gist with tests.