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 = {{{ | | 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. | ||
==== Arguments ==== | ==== 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. | * '''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. | * '''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''. | * '''nowiki:''' Whether or not to ignore wiki formatting; 0 for ''false'', 1 for ''true''. | ||
=== Usage example === | === Usage example === | ||
<pre>{{Harmonics in ED| | <pre>{{Harmonics in ED|40|31|prime|0}}</pre> | ||
{{Harmonics in ED| | {{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}}
| 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) | |
