742edo: Difference between revisions

Overthink (talk | contribs)
Prime harmonics: another table
Regular temperament properties: note what it's after in the 19-limit
 
Line 73: Line 73:
| 4.32
| 4.32
|}
|}
* 742et has a lower 19-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]] than any previous equal temperaments. It is only bettered by [[935edo|935]] in terms of absolute error, and by [[1178edo|1178]] in terms of relative error.  
* 742et has a lower 19-limit [[Tenney–Euclidean temperament measures #TE simple badness|relative error]] than any previous equal temperaments, being the first to beat [[581edo|581]], before getting bettered by [[935edo|935]] in absolute error and by [[1178edo|1178]] in relative error.  
* 742et (742i val) is also notable in the 17- and 23-limit, where it has lower absolute errors than any previous equal temperaments. In the 17-limit it beats [[581edo|581]] and is bettered by [[764edo|764]]; in the 23-limit it beats [[718edo|718]] and is bettered by [[814edo|814]].  
* 742et (742i val) is also notable in the 17- and 23-limit, where it has lower absolute errors than any previous equal temperaments. In the 17-limit it beats 581 and is bettered by [[764edo|764]]; in the 23-limit it beats [[718edo|718]] and is bettered by [[814edo|814]].  


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===