User:Xenwolf/Fifthspan: Difference between revisions

Xenwolf (talk | contribs)
Fifthspan examples: clarified explanation of rings
Xenwolf (talk | contribs)
Separate mod steps: another example
Line 916: Line 916:
! prime 19
! prime 19
! prime 23
! prime 23
|-
|- class="thick-border" style="border-top: 2px solid #777"
! rowspan="2" | Error
! rowspan="2" | Error
! absolute ([[cent|¢]])
! absolute ([[cent|¢]])
Line 939: Line 939:
| -21
| -21
| +10
| +10
|-
|- class="thick-border" style="border-top: 2px solid #777"
! rowspan="2" | [[nearest edomapping|Mapping]]
! rowspan="2" | [[patent val|Mapping]]
! [[patent val]]
! value
| '''17'''
| '''17'''
| 27
| 27
Line 962: Line 962:
| 4
| 4
| 9
| 9
|-
|- class="thick-border" style="border-top: 2px solid #777"
! colspan="2" | [[fifthspan]] (steps)
! colspan="2" | [[Fifthspan]] (in steps)
| 0
| 0
| '''1'''
| '''1'''
Line 973: Line 973:
| 14
| 14
| 6
| 6
|}
{| class="wikitable center-all"
|-
|-
! rowspan="2" colspan="2" | fifthspan explained
|+ Approximation of prime intervals in 12 EDO
| 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
! colspan="2" | Prime interval
| 9= 5 *12 %17
! style="min-width: 3em" | 2
| 15= 14 *12 %17
! style="min-width: 3em" | 3
| 11= 8 *12  %17
! style="min-width: 3em" | 5
| 8= 12 *12 %17
! style="min-width: 3em" | 7
| 12= 1 *12 %17
! style="min-width: 3em" | 11
| 14= 4 *12 %17
! style="min-width: 3em" | 13
| 6= 9 *12 %17
! style="min-width: 3em" | 17
! style="min-width: 3em" | 19
|-
! rowspan="2" | Error
! absolute ([[cent|¢]])
| 0.0
| -2.0
| +13.7
| +31.2
| +48.7
| -40.5
| -5.0
| +2.5
|-
! [[Relative error|relative]] (%)
| 0
| -2
| +14
| +31
| +49
| -41
| -5
| +2
|-
! rowspan="2" | Mapping
! [[patent val]] ''v''
| 12
| 19
| 28
| 34
| 42
| 44
| 49
| 51
|-
! [[Octave reduction|''v'' mod 12]]
| 0
| 7
| 4
| 10
| 6
| 8
| 1
| 3
|}
|}