# Optimal GPV sequence

Jump to navigation
Jump to search

Many regular temperaments documented on the wiki are accompanied with an **Optimal GPV sequence**. This gives generalized patent vals (GPVs) for ETs which support the temperament, where each subsequent GPV included improves upon the TE error of the previous GPV.

No standard beginning or ending cutoff to the list has been specified.

## How to compute

Optimal GPV sequences can be computed using Flora Canou's Tuning Optimizer & TE Temperament Measures Calculator, using the `et_sequence_error`

function. For example, here's how the optimal GPV sequence for Yer temperament was determined, by providing its comma basis and subgroup:

import et_sequence_error as ete import numpy as np ete.et_sequence_error(np.array([[7,-4],[-1,1],[-1,-1],[-1,0],[1,1]]), subgroup=[2,11,13,17,19])</nowiki>

Which produces the list: 13, 24, 33, 37, 46, 57, 70, 127.