Canopic clan: Difference between revisions

@@ Line 444: / Line 444: @@
 Badness: 0.021127
+== Septendesemi ==
+The name ''septendesemi'' means a septendecimal semitone ([[17/16]]). The septendesemi temperament (80&amp;103) tempers out the mirkwai comma and 1959552/1953125 (''parkleiness'' comma, zotritrigu) in the 7-limit. [[183edo|183EDO]] provides an excellent tuning for 7, 11, 13, and 17-limit septendesemi.
+Subgroup: 2.3.5.7
+[[Comma list]]: 16875/16807, 1959552/1953125
+[[Mapping]]: [{{val|1 -2 -1 -2}}, {{val|0 41 38 55}}]
+{{Multival|legend=1|41 38 55 -35 -28 21}}
+[[POTE generator]]: ~343/324 = 104.916
+{{Val list|legend=1| 80, 103, 183 }}
+[[Badness]]: 0.146795
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: 540/539, 1375/1372, 43923/43750
+Mapping: [{{val|1 -2 -1 -2 -1}}, {{val|0 41 38 55 51}}]
+POTE generator: ~35/33 = 104.916
+Vals: {{Val list| 80, 103, 183 }}
+Badness: 0.041554
+=== 13-limit ===
+Subgroup: 2.3.5.7.11.13
+Comma list: 351/350, 540/539, 1375/1372, 4225/4224
+Mapping: [{{val|1 -2 -1 -2 -1 3}}, {{val|0 41 38 55 51 8}}]
+POTE generator: ~35/33 = 104.908
+Vals: {{Val list| 80, 103, 183, 469f, 652def }}
+Badness: 0.027908
+=== 17-limit ===
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 351/350, 540/539, 561/560, 715/714, 4225/4224
+Mapping: [{{val|1 -2 -1 -2 -1 3 4}}, {{val|0 41 38 55 51 8 1}}]
+POTE generator: ~17/16 = 104.909
+Vals: {{Val list| 80, 103, 183, 469f, 652def }}
+Badness: 0.020128
 [[Category:Regular temperament theory]]