View source for User:Xenwolf/Template:Primes in EDO

 {{{!}} class="wikitable center-all"
 {{!}}-
 {{!}}+ Approximation of primary intervals in {{{1|{{{steps|12}}}}}} EDO
 {{!}}-
 ! colspan="2" {{!}} Prime number
 ! 2
 ! 3
 ! 5
 ! 7
 ! 11
 ! 13
 ! 17
 ! 19
 ! 23
 {{!}}-
 ! rowspan="2" {{!}} Error
 ! absolute ([[cent|¢]])
 {{!}} {{signed|{{#number_format:{{#expr: 1200*(((ln(2)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(2)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}|1}} }}
 {{!}} {{signed|{{#number_format:{{#expr: 1200*(((ln(3)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(3)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}|1}} }}
 {{!}} {{signed|{{#number_format:{{#expr: 1200*(((ln(5)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(5)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}|1}} }}
 {{!}} {{signed|{{#number_format:{{#expr: 1200*(((ln(7)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(7)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}|1}} }}
 {{!}} {{signed|{{#number_format:{{#expr: 1200*(((ln(11)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(11)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}|1}} }}
 {{!}} {{signed|{{#number_format:{{#expr: 1200*(((ln(13)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(13)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}|1}} }}
 {{!}} {{signed|{{#number_format:{{#expr: 1200*(((ln(17)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(17)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}|1}} }}
 {{!}} {{signed|{{#number_format:{{#expr: 1200*(((ln(19)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(19)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}|1}} }}
 {{!}} {{signed|{{#number_format:{{#expr: 1200*(((ln(23)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(23)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}|1}} }}
 {{!}}-
 ! [[Relative error{{!}}relative]] (&#37;)
 {{!}} {{signed|{{#number_format:{{#expr: 100*(((ln(2)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(2)/ln(2))*{{{1|{{{steps|12}}}}}} )}}|1}} }}
 {{!}} {{signed|{{#number_format:{{#expr: 100*(((ln(3)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(3)/ln(2))*{{{1|{{{steps|12}}}}}} )}}|1}} }}
 {{!}} {{signed|{{#number_format:{{#expr: 100*(((ln(5)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(5)/ln(2))*{{{1|{{{steps|12}}}}}} )}}|1}} }}
 {{!}} {{signed|{{#number_format:{{#expr: 100*(((ln(7)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(7)/ln(2))*{{{1|{{{steps|12}}}}}} )}}|1}} }}
 {{!}} {{signed|{{#number_format:{{#expr: 100*(((ln(11)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(11)/ln(2))*{{{1|{{{steps|12}}}}}} )}}|1}} }}
 {{!}} {{signed|{{#number_format:{{#expr: 100*(((ln(13)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(13)/ln(2))*{{{1|{{{steps|12}}}}}} )}}|1}} }}
 {{!}} {{signed|{{#number_format:{{#expr: 100*(((ln(17)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(17)/ln(2))*{{{1|{{{steps|12}}}}}} )}}|1}} }}
 {{!}} {{signed|{{#number_format:{{#expr: 100*(((ln(19)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(19)/ln(2))*{{{1|{{{steps|12}}}}}} )}}|1}} }}
 {{!}} {{signed|{{#number_format:{{#expr: 100*(((ln(23)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(23)/ln(2))*{{{1|{{{steps|12}}}}}} )}}|1}} }}
 {{!}}-
 ! colspan="2" {{!}} Degree ([[octave reduction{{!}}reduced]])
 {{!}} {{#expr: ((ln(2)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)}} ({{#expr: ((ln(2)/ln(2))*{{{1|{{{steps|12}}}}}} round 0) mod {{{1|{{{steps|12}}}}}} }})
 {{!}} {{#expr: ((ln(3)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)}} ({{#expr: ((ln(3)/ln(2))*{{{1|{{{steps|12}}}}}} round 0) mod {{{1|{{{steps|12}}}}}} }})
 {{!}} {{#expr: ((ln(5)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)}} ({{#expr: ((ln(5)/ln(2))*{{{1|{{{steps|12}}}}}} round 0) mod {{{1|{{{steps|12}}}}}} }})
 {{!}} {{#expr: ((ln(7)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)}} ({{#expr: ((ln(7)/ln(2))*{{{1|{{{steps|12}}}}}} round 0) mod {{{1|{{{steps|12}}}}}} }})
 {{!}} {{#expr: ((ln(11)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)}} ({{#expr: ((ln(11)/ln(2))*{{{1|{{{steps|12}}}}}} round 0) mod {{{1|{{{steps|12}}}}}} }})
 {{!}} {{#expr: ((ln(13)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)}} ({{#expr: ((ln(13)/ln(2))*{{{1|{{{steps|12}}}}}} round 0) mod {{{1|{{{steps|12}}}}}} }})
 {{!}} {{#expr: ((ln(17)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)}} ({{#expr: ((ln(17)/ln(2))*{{{1|{{{steps|12}}}}}} round 0) mod {{{1|{{{steps|12}}}}}} }})
 {{!}} {{#expr: ((ln(19)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)}} ({{#expr: ((ln(19)/ln(2))*{{{1|{{{steps|12}}}}}} round 0) mod {{{1|{{{steps|12}}}}}} }})
 {{!}} {{#expr: ((ln(23)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)}} ({{#expr: ((ln(23)/ln(2))*{{{1|{{{steps|12}}}}}} round 0) mod {{{1|{{{steps|12}}}}}} }})
 {{!}}}
 <noinclude>
<big>'''Don't use in production!'''</big>

todo: template that generates a table of prime approximations of the equal temperament characterized by two arguments

* parameter: number of EDO '''steps''' (default 12)

</noinclude>