34edo: Difference between revisions

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@@ Line 378: / Line 378: @@
 === Selected just intervals by error ===
+{| class="wikitable center-all"
+! colspan="2" |
+! prime 2
+! prime 3
+! prime 5
+! prime 7
+! prime 11
+! prime 13
+! prime 17
+|-
+! rowspan="2" |Error
+! absolute (¢)
+| 0.0
+| +3.9
+| +1.9
+| -15.9
+| +13.4
+| +6.5
+| +0.9
+|-
+! [[Relative error|relative]] (%)
+| 0.0
+| +11.1
+| +5.4
+| -45.0
+| +37.9
+| +18.5
+| +2.6
+|}
 The following table shows how [[15-odd-limit intervals]] are represented in 34edo. Prime harmonics are in '''bold'''; inconsistent intervals are in ''italic''.
@@ Line 537: / Line 567: @@
 | ''29.273''
 |}
+=== Temperament measures ===
+The following table shows [[TE temperament measures]] (RMS normalized by the rank) of 34et.
+Note: the 34d val is used for lower error.
+{| class="wikitable center-all"
+! colspan="2" |
+! 3-limit
+! 5-limit
+! 7-limit
+! 11-limit
+! 13-limit
+! 17-limit
+! 2.3.5.13.17
+! 2.3.5.11.13.17
+|-
+! colspan="2" |Octave stretch (¢)
+| -1.24
+| -1.10
+| -2.56
+| -2.82
+| -2.64
+| -2.30
+| -1.06
+| -1.53
+|-
+! rowspan="2" |Error
+! [[TE error|absolute]] (¢)
+| 1.24
+| 1.03
+| 2.66
+| 2.44
+| 2.26
+| 2.26
+| 0.94
+| 1.35
+|-
+! [[TE simple badness|relative]] (%)
+| 3.51
+| 2.92
+| 7.57
+| 6.93
+| 6.42
+| 6.41
+| 2.65
+| 3.83
+|}
+* 34et has a lower relative error than any previous ETs in the 5-limit. The next ET that does better in this subgroup is 53.
+* 34et is most prominent in the 2.3.5.13.17 and 2.3.5.11.13.17 subgroups. The next ET that does better in these subgroups is 217 and 87, respectively.
 == 34edo and phi ==