43edo: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>

: This revision was by author [[User:~~toddiharrop~~|~~toddiharrop~~]] and made on <tt>~~2015~~-06-~~18 06~~:40:18 UTC</tt>.<br>

: This revision was by author [[User:MasonGreen1|MasonGreen1]] and made on <tt>2016-03-31 14:05:43 UTC</tt>.<br>

: The original revision id was <tt>~~554157218~~</tt>.<br>

: The original revision id was <tt>578782455</tt>.<br>

: The revision comment was: <tt></tt><br>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>

Line 15:

43edo is the 14th [[prime numbers|prime]] edo, following [[41edo]] and coming before [[47edo]].

Although not [[consistency|consistent]], it performs quite decently in very high limits. It has unambiguous mappings for all prime harmonics up to //64//, with the sole exceptions of 23 and, perhaps, 41. The mappings for composite harmonics can then be derived from those for the primes, giving a version of mode 32 of the harmonic series, although the aforementioned lack of consistency will give some unusual results. Indeed, the step size of 43edo is very close to the septimal comma (64:63), while two steps is close to 32:31, and four steps to 16:15.

==Intervals==

Line 75:

Line 77:

<br />

43edo is the 14th <a class="wiki_link" href="/prime%20numbers">prime</a> edo, following <a class="wiki_link" href="/41edo">41edo</a> and coming before <a class="wiki_link" href="/47edo">47edo</a>.<br />

<br />

Although not <a class="wiki_link" href="/consistency">consistent</a>, it performs quite decently in very high limits. It has unambiguous mappings for all prime harmonics up to <em>64</em>, with the sole exceptions of 23 and, perhaps, 41. The mappings for composite harmonics can then be derived from those for the primes, giving a version of mode 32 of the harmonic series, although the aforementioned lack of consistency will give some unusual results. Indeed, the step size of 43edo is very close to the septimal comma (64:63), while two steps is close to 32:31, and four steps to 16:15.<br />

<br />

<h2 id="toc2"><a name="x43 tone equal temperament-Intervals"></a>Intervals</h2>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:toddiharrop|toddiharrop]] and made on <tt>2015-06-18 06:40:18 UTC</tt>.<br>
+: This revision was by author [[User:MasonGreen1|MasonGreen1]] and made on <tt>2016-03-31 14:05:43 UTC</tt>.<br>
-: The original revision id was <tt>554157218</tt>.<br>
+: The original revision id was <tt>578782455</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
@@ Line 15: / Line 15: @@
 edo is the 14th [[prime numbers|prime]] edo, following [[41edo]] and coming before [[47edo]].
+Although not [[consistency|consistent]], it performs quite decently in very high limits. It has unambiguous mappings for all prime harmonics up to //64//, with the sole exceptions of 23 and, perhaps, 41. The mappings for composite harmonics can then be derived from those for the primes, giving a version of mode 32 of the harmonic series, although the aforementioned lack of consistency will give some unusual results. Indeed, the step size of 43edo is very close to the septimal comma (64:63), while two steps is close to 32:31, and four steps to 16:15.
 ==Intervals==
@@ Line 75: / Line 77: @@
 &lt;br /&gt;
 edo is the 14th &lt;a class="wiki_link" href="/prime%20numbers"&gt;prime&lt;/a&gt; edo, following &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt; and coming before &lt;a class="wiki_link" href="/47edo"&gt;47edo&lt;/a&gt;.&lt;br /&gt;
+&lt;br /&gt;
+Although not &lt;a class="wiki_link" href="/consistency"&gt;consistent&lt;/a&gt;, it performs quite decently in very high limits. It has unambiguous mappings for all prime harmonics up to &lt;em&gt;64&lt;/em&gt;, with the sole exceptions of 23 and, perhaps, 41. The mappings for composite harmonics can then be derived from those for the primes, giving a version of mode 32 of the harmonic series, although the aforementioned lack of consistency will give some unusual results. Indeed, the step size of 43edo is very close to the septimal comma (64:63), while two steps is close to 32:31, and four steps to 16:15.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x43 tone equal temperament-Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Intervals&lt;/h2&gt;