User:Xenwolf/Template:Primes in EDO: Difference between revisions
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m Xenwolf moved page User:Xenwolf/Template:ET Prime approximation to User:Xenwolf/Template:Primes in EDO: reduced to EDO |
m absolute errors with one-decimal precision |
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| Line 16: | Line 16: | ||
! rowspan="2" {{!}} Error | ! rowspan="2" {{!}} Error | ||
! absolute ([[cent|¢]]) | ! absolute ([[cent|¢]]) | ||
{{!}} {{#number_format:{{#expr: 1200*(((ln(2)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(2)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}| | {{!}} {{#number_format:{{#expr: 1200*(((ln(2)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(2)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}|1}} | ||
{{!}} {{#number_format:{{#expr: 1200*(((ln(3)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(3)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}| | {{!}} {{#number_format:{{#expr: 1200*(((ln(3)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(3)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}|1}} | ||
{{!}} {{#number_format:{{#expr: 1200*(((ln(5)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(5)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}| | {{!}} {{#number_format:{{#expr: 1200*(((ln(5)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(5)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}|1}} | ||
{{!}} {{#number_format:{{#expr: 1200*(((ln(7)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(7)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}| | {{!}} {{#number_format:{{#expr: 1200*(((ln(7)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(7)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}|1}} | ||
{{!}} {{#number_format:{{#expr: 1200*(((ln(11)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(11)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}| | {{!}} {{#number_format:{{#expr: 1200*(((ln(11)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(11)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}|1}} | ||
{{!}} {{#number_format:{{#expr: 1200*(((ln(13)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(13)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}| | {{!}} {{#number_format:{{#expr: 1200*(((ln(13)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(13)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}|1}} | ||
{{!}} {{#number_format:{{#expr: 1200*(((ln(17)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(17)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}| | {{!}} {{#number_format:{{#expr: 1200*(((ln(17)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(17)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}|1}} | ||
{{!}} {{#number_format:{{#expr: 1200*(((ln(19)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(19)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}| | {{!}} {{#number_format:{{#expr: 1200*(((ln(19)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(19)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}|1}} | ||
{{!}} {{#number_format:{{#expr: 1200*(((ln(23)/ln(2))*{{{1|{{{steps|12}}}}}} round 0)-(ln(23)/ln(2))*{{{1|{{{steps|12}}}}}})/{{{1|{{{steps|12}}}}}}}}| | {{!}} {{#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]] (%) | ! [[Relative error{{!}}relative]] (%) | ||
Revision as of 20:25, 20 October 2020
| Prime number | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | 0.0 | -2.0 | 13.7 | 31.2 | 48.7 | -40.5 | -5.0 | 2.5 | -28.3 |
| relative (%) | 0.0 | -2.0 | 13.7 | 31.2 | 48.7 | -40.5 | -5.0 | 2.5 | -28.3 | |
| Degree (reduced) | 12 (0) | 19 (7) | 28 (4) | 34 (10) | 42 (6) | 44 (8) | 49 (1) | 51 (3) | 54 (6) | |
Don't use in production!
todo: template that generates a table of prime approximations of the equal temperament characterized by two arguments
- parameter: number of EDO steps (default 12)