Template:Harmonics in ED: Difference between revisions

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<includeonly>{{#invoke: Harmonics_in_ED | table  
<includeonly>{{#invoke: Harmonics_in_ED | table  
| et = {{{1}}}
| et = {{{1}}}
| p_lim = {{{2|31}}}
| p_lim = {{{2|"default"}}}
| nowiki = {{{3}}}
| type = {{{3|"prime"}}}
| nowiki = {{{4|0}}}
}}</includeonly><noinclude>
}}</includeonly><noinclude>
Takes an equal tuning and returns a table with approximations of its prime harmonics up to a given number.
Takes an equal tuning and returns a table with approximations of its prime harmonics up to a given number.

Revision as of 18:16, 16 February 2026

Takes an equal tuning and returns a table with approximations of its prime harmonics up to a given number.

Arguments

  • et: The edo to display the table for. At the moment, only edos are supported, but more equal tunings should be supported in the future.
  • p_lim: The maximum harmonic to display if prime; otherwise, display the largest prime smaller than the value of this argument.
  • nowiki: Whether or not to ignore wiki formatting; 0 for false, 1 for true.

Usage example

{{Harmonics in ED|41|23|0}}
Approximation of prime harmonics in 41edo
Harmonic 2 3 5 7 11 13 17 19 23
Error Absolute (¢) 0.0 +0.5 -5.8 -3.0 +4.8 +8.3 +12.1 -4.8 -13.6
Relative (%) 0.0 +1.7 -19.9 -10.2 +16.3 +28.2 +41.4 -16.5 -46.6
Steps
(reduced)
41
(0)
65
(24)
95
(13)
115
(33)
142
(19)
152
(29)
168
(4)
174
(10)
185
(21)