Optimal ET sequence: Difference between revisions

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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~~.

Many [[regular temperaments]] documented on the wiki are accompanied with an '''Optimal GPV sequence'''. This gives [[generalized patent val]]s (GPVs) for [[ET]]s 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.

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== How to compute ==

~~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:

Optimal GPV sequences 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 optimal GPV sequence for [[Subgroup_temperaments#Yer_.28rank_3.29|Yer temperament]] was determined, by providing its comma basis and subgroup:

<pre>

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-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.
+Many [[regular temperaments]] documented on the wiki are accompanied with an '''Optimal GPV sequence'''. This gives [[generalized patent val]]s (GPVs) for [[ET]]s 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.
@@ Line 5: / Line 5: @@
 == How to compute ==
-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:
+Optimal GPV sequences 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 optimal GPV sequence for [[Subgroup_temperaments#Yer_.28rank_3.29|Yer temperament]] was determined, by providing its comma basis and subgroup:
 <pre>