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}}}
| 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.<br>
Takes an equal tuning and returns a table with approximations of its prime harmonics up to a given number.
The first argument is the edo (at the moment, only edos are supported, but more equal tunings should be supported in the future), and the second argument is the maximum harmonic to display (if prime; otherwise, display the largest prime smaller than the value of this argument).
==== 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. If left out, it defaults to 31 for primes and 25 for odds.
* '''type:''' The type of harmonic to be displayed: '''prime''' for prime harmonics, '''odd''' for odd harmonics.
* '''nowiki:''' Whether or not to ignore wiki formatting; 0 for ''false'', 1 for ''true''.
=== Usage example ===
=== Usage example ===
<pre>{{Harmonics in ED|41|23}}</pre>
<pre>{{Harmonics in ED|40|31|prime|0}}</pre>
{{Harmonics in ED|41|23|0}}
{{Harmonics in ED|40|31|prime|0}}
</noinclude>
</noinclude>

Latest revision as of 15:53, 23 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. If left out, it defaults to 31 for primes and 25 for odds.
  • type: The type of harmonic to be displayed: prime for prime harmonics, odd for odd harmonics.
  • nowiki: Whether or not to ignore wiki formatting; 0 for false, 1 for true.

Usage example

{{Harmonics in ED|40|31|prime|0}}
Approximation of prime harmonics in 40edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) 0.0 -12.0 +3.7 -8.8 -11.3 -0.5 -15.0 +2.5 +1.7 -9.6 -5.0
Relative (%) 0.0 -39.9 +12.3 -29.4 -37.7 -1.8 -49.9 +8.3 +5.8 -31.9 -16.8
Steps
(reduced)
40
(0)
63
(23)
93
(13)
112
(32)
138
(18)
148
(28)
163
(3)
170
(10)
181
(21)
194
(34)
198
(38)