1171edo: Difference between revisions
m Infobox ET added |
mNo edit summary |
||
| Line 1: | Line 1: | ||
{{Infobox ET}} | {{novelty}}{{stub}}{{Infobox ET}} | ||
The '''1171 equal divisions of the octave''' ('''1171edo''') divides the [[octave]] into 1171 parts of size 1.0248 [[cent]]s each. It 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. We might also note that 1171 is a [[prime number]]. | The '''1171 equal divisions of the octave''' ('''1171edo''') divides the [[octave]] into 1171 parts of size 1.0248 [[cent]]s each. It 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. We might also note that 1171 is a [[prime number]]. | ||