Optimal ET sequence

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Revision as of 17:18, 7 December 2021 by Cmloegcmluin (talk | contribs) (Cmloegcmluin moved page ET sequence to Optimal GPV sequence: per discussion on Facebook here: https://www.facebook.com/groups/xenwiki/permalink/2980917012174283/)
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Many regular temperaments documented on the wiki are accompanied with a sequence of generalized patent vals for ETs which support the temperament, where each subsequent val included improves upon the TE error of the previous val.

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

How to compute

Val lists 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 val list 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.