In this script I use a mock data generated from combining n=0 and n=1 overtones together, and sample it with the ptemcee sampler under the n=1 scenario. It seems that either there are some fundamental internal problems that prevent us from separating alpha_0 from alpha_1, or that ptemcee doesn't work as well for this problem. Either way, there should be something going on with our approach for this entire project...