The Chrome operating system is based on Unix / Linux, so you could try installing Cymatic using Wine and Winetricks. Wine is like a Windows emulator, so there should be no need to install Windows on your computer if you install Wine onto a computer running on Linux / Chrome.
Wine: http://www.winehq.org
Winetricks: http://www.winetricks.org
See this video that I found on YouTube that shows how to install Wine on a Chromebook and then how to install a Windows program using Winetricks:
Installing Wine on Chrome
Here is some information in the Cymatic forum, about Linux and Wine, which might also be helpful to users of Chrome:
Linux and Wine
Cymatic doesn't test its software on or claim to support it running on Linux / Chrome / OSx, Wine, etc, but feedback from customers indicates that it works.
Kind regards,
Gavin