1152edo: Difference between revisions

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1152edo is [[consistent]] in the [[9-odd-limit]], where it corrects the [[576edo]]'s mapping for 5. The equal temperament tempers out the ennealimma, {{Monzo|1 -27 18}}, as well as {{monzo|99 2 -44}}, in the 5-limit, 2401/2400, 4375/4374, 250047/250000, 420175/419904, [[40353607/40310784]] (tritrizo), [[78125000/78121827]] (euzenius), as well as {{Monzo|94 -33 -24 5}} in the 7-limit. It supports the [[hemiennealimmal]] temperament and [[germanium]] temperament in the 11-limit despite not being consistent.

It is a strong 2.3.5.7.13.17.23 subgroup tuning, or alternatively a no-11, no-17, no-19 23-limit tuning. More so, if intervals containing 11, 17, and 19 are removed, 1152edo consistently represents the intervals of the [[23-odd~~-limit]] and not just [[23-limit|23-prime~~-limit]]. A comma basis for the 2.3.5.7.13.17.23 subgroup is {3381/3380, 4375/4374, 4761/4760, 4914/4913, 8281/8280, 19136/19125}. It also tempers out the comma associating [[70/69]] to 1 step of [[48edo]].

It is a strong 2.3.5.7.13.17.23 subgroup tuning, or alternatively a no-11, no-17, no-19 23-limit tuning. More so, if intervals containing 11, 17, and 19 are removed, 1152edo consistently represents the remaining intervals of the [[25-odd-limit]]. A comma basis for the 2.3.5.7.13.17.23 subgroup is {3381/3380, 4375/4374, 4761/4760, 4914/4913, 8281/8280, 19136/19125}. It also tempers out the comma associating [[70/69]] to 1 step of [[48edo]].

The 1152deef val provides a tuning close to the POTE tuning of the [[stockhausenic]] temperament.

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 edo is [[consistent]] in the [[9-odd-limit]], where it corrects the [[576edo]]'s mapping for 5. The equal temperament tempers out the ennealimma, {{Monzo|1 -27 18}}, as well as {{monzo|99 2 -44}}, in the 5-limit, 2401/2400, 4375/4374, 250047/250000, 420175/419904, [[40353607/40310784]] (tritrizo), [[78125000/78121827]] (euzenius), as well as {{Monzo|94 -33 -24 5}} in the 7-limit. It supports the [[hemiennealimmal]] temperament and [[germanium]] temperament in the 11-limit despite not being consistent.
-It is a strong 2.3.5.7.13.17.23 subgroup tuning, or alternatively a no-11, no-17, no-19 23-limit tuning. More so, if intervals containing 11, 17, and 19 are removed, 1152edo consistently represents the intervals of the [[23-odd-limit]] and not just [[23-limit|23-prime-limit]]. A comma basis for the 2.3.5.7.13.17.23 subgroup is {3381/3380, 4375/4374, 4761/4760, 4914/4913, 8281/8280, 19136/19125}. It also tempers out the comma associating [[70/69]] to 1 step of [[48edo]].
+It is a strong 2.3.5.7.13.17.23 subgroup tuning, or alternatively a no-11, no-17, no-19 23-limit tuning. More so, if intervals containing 11, 17, and 19 are removed, 1152edo consistently represents the remaining intervals of the [[25-odd-limit]]. A comma basis for the 2.3.5.7.13.17.23 subgroup is {3381/3380, 4375/4374, 4761/4760, 4914/4913, 8281/8280, 19136/19125}. It also tempers out the comma associating [[70/69]] to 1 step of [[48edo]].
 The 1152deef val provides a tuning close to the POTE tuning of the [[stockhausenic]] temperament.