Prime number: Difference between revisions

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If you like a certain EDO for its intervals or other reasons, but do not like its primality or non-primality, choosing another equivalence interval, such as the [[edt|tritave (3/1)]] instead of the octave, can be an option. For example, [[27edt]] is a non-prime system very similar to [[17edo]], while [[19edt|19edt (Stopper tuning)]] is a prime system very similar to the ubiquitous [[12edo]]. (See [[edt#EDO-EDT%20correspondence|EDO-EDT correspondence]] for more of these.) Anyway, for every prime EDO system there is a non-prime [[ED4]] system with identical step sizes.

The larger //n// is, the less these points matter, since the difference between an //absolutely// uniform scale and an approximated, //nearly// uniform scale eventually become inaudible.

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If you like a certain EDO for its intervals or other reasons, but do not like its primality or non-primality, choosing another equivalence interval, such as the &lt;a class="wiki_link" href="/edt"&gt;tritave (3/1)&lt;/a&gt; instead of the octave, can be an option. For example, &lt;a class="wiki_link" href="/27edt"&gt;27edt&lt;/a&gt; is a non-prime system very similar to &lt;a class="wiki_link" href="/17edo"&gt;17edo&lt;/a&gt;, while &lt;a class="wiki_link" href="/19edt"&gt;19edt (Stopper tuning)&lt;/a&gt; is a prime system very similar to the ubiquitous &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;. (See &lt;a class="wiki_link" href="/edt#EDO-EDT%20correspondence"&gt;EDO-EDT correspondence&lt;/a&gt; for more of these.) Anyway, for every prime EDO system there is a non-prime &lt;a class="wiki_link" href="/ED4"&gt;ED4&lt;/a&gt; system with identical step sizes.&lt;br /&gt;

The larger &lt;em&gt;n&lt;/em&gt; is, the less these points matter, since the difference between an &lt;em&gt;absolutely&lt;/em&gt; uniform scale and an approximated, &lt;em&gt;nearly&lt;/em&gt; uniform scale eventually become inaudible.&lt;br /&gt;

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