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XronoMorph: Loop Generator

XronoMorph: Loop generator

XronoMorph is a free OS X and Windows app for creating multilayered rhythmic and melodic loops (hockets). Each rhythmic layer is visualized as a polygon inscribed in a circle, and each polygon can be constructed according to two different mathematical principles: perfect balance and well-formedness (aka MOS). These principles generalize polyrhythms, additive, and Euclidean rhythms. Furthermore, rhythms can be smoothly morphed between, and irrational rhythms with no regular pulse can also be easily constructed.

XronoMorph subsumes the earlier MeanTimes app described in Milne, A. J. and Dean, R. T. (2016).

Each polygon can play an independent sound, and XronoMorph comes with a useful selection of samples to play the rhythms. Alternatively, you can load your own VST or AU plugins, or send MIDI to an external software or hardware synth. The rhythmic loops can be saved as presets within XronoMorph; they can also be saved as

Scala scale tuning files, which means XronoMorph can be used as a tool for designing well-formed (MOS) and perfectly balanced microtonal scales.

The video below gives an overview of what XronoMorph is and what it does. More videos are available on the XronoMorph YouTube channel—please leave a comment or a like if you enjoy what you see!

Perfectly balanced and well-formed rhythms

The mathematical principles utilized by XronoMorph are perfect balance and well-formedness (MOS).

Perfect balance is a generalization of the polyrhythms found in many African and jazz musical traditions. A rhythm is perfectly balanced when the mean position (centre of gravity) of all its rhythmic events, when arranged on a circle, is the centre of that circle.

Well-formedness is a generalization of the additive rhythms found in aksak (Balkan), sub-Saharan African, and progressive rock musical traditions. Well-formed rhythms contain no more than two interonset intervals, arranged as evenly as possible. WF rhythm are typically nested by faster WF rhythms, which in combination form complex interlocking rhythmic hierarchies.

More detailed explanations of the two principles are provided in the videos on the XronoMorph YouTube channel and in the following papers:

Milne, A. J., Herff, S. A., Bulger, D., Sethares, W. A., and Dean, R. (2016). XronoMorph: Algorithmic generation of perfectly balanced and well-formed rhythms. In Proceedings of the 2016 International Conference on New Interfaces for Musical Expression. Brisbane, Australia.

Milne, A. J. and Dean, R. T. (2016). Computational creation and morphing of multilevel rhythms by control of evenness. Computer Music Journal, 40(1):35–53.

Milne, A. J., Bulger, D., Herff, S., and Sethares, W. A. (2015). Perfect balance: A novel principle for the construction of musical scales and meters. In T. Collins, D. Meredith, and A. Volk (Eds.), Mathematics and Computation in Music—MCM 2015, volume 9110 of LNAI, pages 97–108, Heidelberg. Springer.


XronoMorph is a portable standalone application distributed in a zip file. No installation is required—when you have downloaded the file, unzip it and double click to run.

On OS X, the legacy version of Java 6 must be installed, which can be downloaded from

On OS X, on first run, you may need to right click the app and select 'Open'. If you get a message similar to '"XronoMorph" is damaged and can't be opened ...', you will need to adjust OS X's security settings. Go to System Preferences -> Security & Privacy and under "Allow apps downloaded from:" check "Anywhere".

XronoMorph uses the excellent HISSTools Impulse Response Toolbox, hence the following copyright notice and conditions:

HISSTools Impulse Response Toolbox

Copyright (c) 2012 Alex Harker and Pierre Alexandre Tremblay

All rights reserved.

Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

* Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.

* Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.

* Neither the name of the University of Huddersfield nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.

We uploaded the latest version of XronoMorph, 1.0.0, on Apr 22, 2016.

  • Download XronoMorph for Windows
  • Download XronoMorph for OS X