1152edo: Difference between revisions
Created page with "{{Infobox ET}} {{EDO intro|1152}} 1152edo is consistent in the 9-odd-limit, where it corrects the 576edo's mapping for 5. It is a strong 2.3.5.7.13.17.23 subgro..." |
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{{EDO intro|1152}} | {{EDO intro|1152}} | ||
1152edo is [[consistent]] in the [[9-odd-limit]], where it corrects the [[576edo]]'s mapping for 5. | 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 (99 2 -44), in the 5-limit, 2401/2400, 4375/4374, 250047/250000, 420175/419904, [[40353607/40310784]] (tritrizo), [[78125000/78121827]] (euzenius), as well as [94 -33 -24 5⟩ in the 7-limit. It supports the [[hemiennealimmal]] 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]]. | 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]]. | ||
=== Prime harmonics === | |||
{{harmonics in equal|1152}} | {{harmonics in equal|1152}} | ||