5edt: Difference between revisions

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">=5 Equal Divisions of the Tritave=  

|| Degrees || Cents || Approximate Ratios ||

|| 0 || 0 || [[1_1|1/1]] ||

|| 1 || 380.391 || [[5_4|5/4]] ||

|| 2 || 760.782 || [[14_9|14/9]] ||

|| 3 || 1141.173 || [[27_14|27/14]] ||

|| 4 || 1521.564 || 12/5 ([[6_5|6/5]] plus an octave) ||

|| 5 || 1901.955 || 3/1 ||

&lt;span style="-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; border-collapse: collapse; line-height: normal;"&gt;5edt isn't very useful melodically, though it has many notable harmonic properties shared by other 5n-edts (EDTs with 5 as a prime factor). It has a surprisingly accurate major third, five of them making a tritave. It therefore tempers out 3125/3072, the magic comma. Two of these major thirds give a septimal minor sixth, meaning that it also tempers out the 7-limit comma 225/224.&lt;/span&gt;

5edt is the lowest equal division of the tritave to encompass 5-limit harmony. The available chords are 4:5:12 and 5:12:15; essentially major and minor chords. This is similar to [[6edt]], which contains the same chords but with the major thirds transposed an octave higher, and vice versa.

[[15edt]]

&lt;span style="-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; border-collapse: collapse; line-height: normal;"&gt;5edt isn't very useful melodically, though it has many notable harmonic properties shared by other 5n-edts (EDTs with 5 as a prime factor). It has a surprisingly accurate major third, five of them making a tritave. It therefore tempers out 3125/3072, the magic comma. Two of these major thirds give a septimal minor sixth, meaning that it also tempers out the 7-limit comma 225/224.&lt;/span&gt;&lt;br /&gt;

5edt is the lowest equal division of the tritave to encompass 5-limit harmony. The available chords are 4:5:12 and 5:12:15; essentially major and minor chords. This is similar to &lt;a class="wiki_link" href="/6edt"&gt;6edt&lt;/a&gt;, which contains the same chords but with the major thirds transposed an octave higher, and vice versa.&lt;br /&gt;

&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x5 Equal Divisions of the Tritave-Other 5n-edts:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Other 5n-edts:&lt;/h2&gt;