39edo: Difference between revisions

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-05-25 16:53:44 UTC</tt>.<br>

: The original revision id was <tt>144667473</tt>.<br>

<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">39EDO, if we take 22/39 as a fifth, can be used in mavilla temperament, and from that point of view seems to have attracted the attention of the Armodue school, an Italian group interested in 16EDO and allied systems. However, its 23/39 fifth, five and three-quarters cents sharp, is in much better tune than the mavilla fifth which like all mavilla fifths is very, very flat--in this case, 25 cents flat. Together with its best third which is the familiar 400 cents of 12 equal, we get a system which tempers out the diesis, 128/125, and the amity comma, 1600000/1594323. We have two choices for a map for 7, but the sharp one works better with the 3 and 5, which adds 64/63 and 126/125 to the list. Tempering out both 128/125 and 64/63 makes 39EDO in some ways allied to 12EDO in supporting augene temperament, and is in fact an excellent choice for an augene tuning, but one difference is that 39 has a fine 11, and adding it to consideration we find 39et tempers out 99/98 and 121/120 also. This better choice for 39et is &lt;39 62 91 110 135|.

2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 2 1

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<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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;39edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;39EDO, if we take 22/39 as a fifth, can be used in mavilla temperament, and from that point of view seems to have attracted the attention of the Armodue school, an Italian group interested in 16EDO and allied systems. However, its 23/39 fifth, five and three-quarters cents sharp, is in much better tune than the mavilla fifth which like all mavilla fifths is very, very flat--in this case, 25 cents flat. Together with its best third which is the familiar 400 cents of 12 equal, we get a system which tempers out the diesis, 128/125, and the amity comma, 1600000/1594323. We have two choices for a map for 7, but the sharp one works better with the 3 and 5, which adds 64/63 and 126/125 to the list. Tempering out both 128/125 and 64/63 makes 39EDO in some ways allied to 12EDO in supporting augene temperament, and is in fact an excellent choice for an augene tuning, but one difference is that 39 has a fine 11, and adding it to consideration we find 39et tempers out 99/98 and 121/120 also. This better choice for 39et is &amp;lt;39 62 91 110 135|.&lt;br /&gt;