Optimal ET sequence: Difference between revisions
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m FloraC moved page Val list to ET sequence: -confusion with mapping |
Break off the association with val list |
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Many [[regular temperaments]] documented on the wiki are accompanied with | Many [[regular temperaments]] documented on the wiki are accompanied with 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. | ||
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Val lists can be computed using [[Flora Canou]]'s [https://github.com/FloraCanou/te_temperament_measures|Tuning Optimizer & TE Temperament Measures Calculator], using the <code>et_sequence_error</code> function. For example, here's how the val list for [[Subgroup_temperaments#Yer_.28rank_3.29|Yer temperament]] was determined, by providing its comma basis and subgroup: | Val lists can be computed using [[Flora Canou]]'s [https://github.com/FloraCanou/te_temperament_measures|Tuning Optimizer & TE Temperament Measures Calculator], using the <code>et_sequence_error</code> function. For example, here's how the val list for [[Subgroup_temperaments#Yer_.28rank_3.29|Yer temperament]] was determined, by providing its comma basis and subgroup: | ||
<pre> | |||
import et_sequence_error as ete | |||
import numpy as np | 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> | ete.et_sequence_error(np.array([[7,-4],[-1,1],[-1,-1],[-1,0],[1,1]]), subgroup=[2,11,13,17,19])</nowiki> | ||
</pre> | |||
[[Category:Regular temperament theory]] | |||
Revision as of 00:18, 26 November 2021
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 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>