29edo: Difference between revisions

Yourmusic Productions (talk | contribs)
m Move paragraph about relative error to temperament properties where it's counterparts in other edos go, fix grammar.
Regular temperament properties: Made more consistent with other edos and added 23 limit subgroups.
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| 2.71
| 2.71
| 6.54
| 6.54
|-
|2.3.5.7.11.13.19
|49/48, 55/54, 65/64, 77/76, 100/99, 105/104
|[⟨29 46 67 81 100 107 123]]
| +2.91
|2.55
|6.16
|-
|2.3.5.7.11.13.19.23
|49/48,55/54, 65/64, 70/69, 77/76, 100/99, 105/104
|[⟨29 46 67 81 100 107 123 131]]
| +2.76
|2.42
|5.85
|}
|}
29edo's relative error is lower than any previous edo in the [[23-limit]] using the 29g val. It's even stronger when taken as a no 17's system where it is consistent to the [[23-odd-limit]]. It tempers out 77/76 and [[133/132]] in the no 17's [[19-limit]]. and 70/69 and 115/114 in the no 17's 23-limit. 8 steps of 29-edo is only 0.273 cents away from [[23/19]].
29et (29g val) has a lower relative error than any previous equal temperament in the [[23-limit]]. The next equal temperament doing better in this subgroup is [[46edo|46]].  
 
29et does well in the no-17 [[19-limit]] and no-17 23-limit, being consistent to the no-17 [[23-odd-limit]]. However, [[15edo]] is lower in relative error in both these subgroups than 29.


=== Commas ===
=== Commas ===