Octagar temperaments: Difference between revisions

@@ Line 100: / Line 100: @@
 Badness: 0.028492
+== Tridecatonic ==
+The ''tridecatonic'' temperament (26&amp;39d) has a period of 1/13 octave. It tempers out the tridecalimma, {{monzo|-11 26 -13}} = 2541865828329/2500000000000 in the 5-limit.
+Subgroup: 2.3.5.7
+[[Comma list]]: 4000/3969, 8748/8575
+[[Mapping]]: [{{val|13 21 31 37}}, {{val|0 -1 -2 -1}}]
+[[POTE generator]]: ~3/2 = 701.9605
+{{Val list|legend=1| 26, 39d, 65d }}
+[[Badness]]: 0.139213
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: 99/98, 1944/1925, 2560/2541
+Mapping: [{{val|13 21 31 37 45}}, {{val|0 -1 -2 -1 0}}]
+POTE generator: ~3/2 = 701.7028
+Vals: {{Val list| 26, 39d, 65d }}
+Badness: 0.063257
+=== 13-limit ===
+Subgroup: 2.3.5.7.11.13
+Comma list: 99/98, 144/143, 275/273, 1040/1029
+Mapping: [{{val|13 21 31 37 45 49}}, {{val|0 -1 -2 -1 0 -2}}]
+POTE generator: ~3/2 = 701.3573
+Vals: {{Val list| 26, 39df, 65d }}
+Badness: 0.037851
 [[Category:Regular temperament theory]]