Optimal ET sequence: Difference between revisions

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== Computation ==

Optimal ET sequences can be computed using [[Flora Canou]]'s [https://github.com/FloraCanou/temperament_evaluator Temperament Evaluator], using the <code>et_sequence</code> function. ~~For example, here~~ is how the optimal ET sequence for [[No-threes subgroup temperaments #Yer_.28rank_3.29|Yer temperament]] was determined, by providing its comma basis and subgroup:

Optimal ET sequences can be computed by iterating through all GPVs, finding the error of each and comparing it with the last best error value.

Below is an example using [[Flora Canou]]'s [https://github.com/FloraCanou/temperament_evaluator Temperament Evaluator], using the <code>et_sequence</code> function from <code>te_equal.py</code>. Here is how the optimal ET sequence for [[No-threes subgroup temperaments #Yer_.28rank_3.29|Yer temperament]] was determined, by providing its comma basis and subgroup:

~~import et_sequence as ete~~

import numpy as np

from lib.te_common import Subgroup

from lib.te_equal import et_sequence

~~ete.~~et_sequence(np.~~array~~([[7, -4], [-1, 1], [-1, -1], [-1, 0~~], [1~~, 1]]), subgroup=[2, 11, 13, 17, 19])

et_sequence(np.column_stack([[7, -1, -1, -1, 1], [-4, 1, -1, 0, 1]]), subgroup=Subgroup ([2, 11, 13, 17, 19]))

</syntaxhighlight>

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

Which produces the list: 11, 13, 24, 33, 37, 46, 57, 70, 127, 197eh.

[[Category:Regular temperament theory]]

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 == Computation ==
-Optimal ET sequences can be computed using [[Flora Canou]]'s [https://github.com/FloraCanou/temperament_evaluator Temperament Evaluator], using the <code>et_sequence</code> function. For example, here is how the optimal ET sequence for [[No-threes subgroup temperaments #Yer_.28rank_3.29|Yer temperament]] was determined, by providing its comma basis and subgroup:
+Optimal ET sequences can be computed by iterating through all GPVs, finding the error of each and comparing it with the last best error value.
+Below is an example using [[Flora Canou]]'s [https://github.com/FloraCanou/temperament_evaluator Temperament Evaluator], using the <code>et_sequence</code> function from <code>te_equal.py</code>. Here is how the optimal ET sequence for [[No-threes subgroup temperaments #Yer_.28rank_3.29|Yer temperament]] was determined, by providing its comma basis and subgroup:
 <syntaxhighlight lang="python">
-import et_sequence as ete
 import numpy as np
+from lib.te_common import Subgroup
+from lib.te_equal import et_sequence
-ete.et_sequence(np.array([[7, -4], [-1, 1], [-1, -1], [-1, 0], [1, 1]]), subgroup=[2, 11, 13, 17, 19])
+et_sequence(np.column_stack([[7, -1, -1, -1, 1], [-4, 1, -1, 0, 1]]), subgroup=Subgroup ([2, 11, 13, 17, 19]))
 </syntaxhighlight>
-Which produces the list: 13, 24, 33, 37, 46, 57, 70, 127.
+Which produces the list: 11, 13, 24, 33, 37, 46, 57, 70, 127, 197eh.
 [[Category:Regular temperament theory]]