171edo: Difference between revisions

Update infobox
Regular temperament properties: +remark on 7-limit relative error and save the 13-limit branches
Line 62: Line 62:
| 0.401
| 0.401
| 5.71
| 5.71
|-
| 2.3.5.7.11.13
| 243/242, 364/363, 441/440, 625/624, 2200/2197
| [{{val| 171 271 397 480 592 633 }}] (171)
| -0.149
| 0.386
| 5.50
|-
|-
| 2.3.5.7.11
| 2.3.5.7.11
Line 76: Line 69:
| 0.418
| 0.418
| 5.96
| 5.96
|-
| 2.3.5.7.11.13
| 352/351, 385/384, 1001/1000, 1188/1183, 1331/1323
| [{{val| 171 271 397 480 591 633 }}] (171e)
| +0.189
| 0.471
| 6.71
|-
| 2.3.5.7.11.13
| 169/168, 325/324, 385/384, 1331/1323, 1375/1372
| [{{val| 171 271 397 480 591 632 }}] (171ef)
| +0.505
| 0.576
| 8.21
|}
|}
* 171et is lower in relative error than any previous ETs in the 7-limit. Not until 441 do we find a better ET in terms of absolute error, and not until 3125 do we find one in terms of relative error.


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