User:Xenwolf/Fifthspan: Difference between revisions

@@ Line 280: / Line 280: @@
 {{Primes in edo|columns=9|title=[[46edo]]|46}}
 {{Primes in edo|columns=9|title=[[53edo]]|53}}
+== Separate mod steps ==
+Shown on the example of [[17edo]].
+All fifthspans are given as positive values. (This can be transformed into mixed mode by subtracting <code>17</code> from all values <code> > 17/2 == 8.5</code>)
+{| class="wikitable center-all"
+! colspan="2" | <!-- empty cell -->
+! prime 2
+! prime 3
+! prime 5
+! prime 7
+! prime 11
+! prime 13
+! prime 17
+! prime 19
+! prime 23
+|-
+! rowspan="2" | Error
+! absolute ([[cent|¢]])
+| 0.0
+| +3.9
+| -33.4
+| +19.4
+| +13.4
+| +6.5
+| -34.3
+| -15.2
+| +7.0
+|-
+! [[Relative error|relative]] (%)
+| 0
+| +6
+| -47
+| +27
+| +19
+| +9
+| -49
+| -21
+| +10
+|-
+! rowspan="2" | [[nearest edomapping|Mapping]]
+! steps
+| '''17'''
+| 27
+| 39
+| 48
+| 59
+| 63
+| 69
+| 72
+| 77
+|-
+! [[octave reduction|mod 17]]
+| 0
+| '''10'''
+| 5
+| 14
+| 8
+| 12
+| '''1'''
+| 4
+| 9
+|-
+! colspan="2" | [[fifthspan]] (steps)
+| 0
+| '''1'''
+| 9
+| 15
+| 11
+| 8
+| '''12'''
+| 14
+| 6
+|-
+! rowspan="2" colspan="2" | fifthspan explained
+| rowspan="2" | -
+| 10= '''1''' *10 %17
+| 5= '''9''' *10 %17
+| 14= '''15''' *10 %17
+| 8= '''11''' *10 %17
+| 12= '''8''' *10 %17
+| 1= '''12''' *10 %17
+| 4= '''14''' *10 %17
+| 9= '''6''' *10 %17
+|-
+| 1= 10 *12 %17
+| 9= 5 *12 %17
+| 15= 14 *12 %17
+| 11= 8 *12  %17
+| 8= 12 *12 %17
+| 12= 1 *12 %17
+| 14= 4 *12 %17
+| 6= 9 *12 %17
+|}