Optimal ET sequence: Difference between revisions

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Many [[regular temperaments]] documented on the wiki are accompanied with a '''val list'''. This list gives a sequence of [[generalized patent val]]s for [[ET]]s which support the temperament, where each subsequent val included improves upon the [[TE error]] of the previous val.  
Many [[regular temperaments]] documented on the wiki are accompanied with a '''val list'''. This list gives a sequence of [[generalized patent val]]s for [[ET]]s 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.
No standard beginning or ending cutoff to the list has been specified.

Revision as of 20:49, 12 November 2021

Many regular temperaments documented on the wiki are accompanied with a val list. This list gives 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 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])