1171edo: Difference between revisions

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rank-2 temperaments
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|1171}}
{{EDO intro|1171}}
 
== Theory ==
1171edo is a very strong 5-limit division, being the first one past [[612edo|612]] with a lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]]. It has a 5-limit [[comma basis]] consisting of the [[monzisma]], {{monzo| 54 -37 2 }} and whoosh, {{monzo| 37 25 -33 }}. While not a strong higher-limit system, it is uniquely consistent through the [[27-odd-limit]], and is very strong on the 2.3.5.11 subgroup.
1171edo is a very strong 5-limit division, being the first one past [[612edo|612]] with a lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]]. It has a 5-limit [[comma basis]] consisting of the [[monzisma]], {{monzo| 54 -37 2 }} and whoosh, {{monzo| 37 25 -33 }}. While not a strong higher-limit system, it is uniquely consistent through the [[27-odd-limit]], and is very strong on the 2.3.5.11 subgroup.


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|129\1171
|129\1171
|132.195
|132.195
|[-38 5 13⟩
|{{Monzo|-38 5 13}}
|[[Astro]]
|[[Astro]]
|-
|-
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|243\1171
|243\1171
|249.018
|249.018
|[-26 18 -1⟩
|{{Monzo|-26 18 -1}}
|[[Monzismic]]
|[[Monzismic]]
|-
|-
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|315\1171
|315\1171
|322.801
|322.801
|[-6 23 -13⟩
|{{Monzo|-6 23 -13}}
|[[Senior]]
|[[Senior]]
|-
|-