9L 2s (3/1-equivalent): Difference between revisions

: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-04 19:26:10 UTC</tt>.<br>

: The original revision id was <tt>594183646</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">Having 9 large steps and 2 small steps, this MOS family is the simplest tritave-equivalent scale using an "ordinary" ~5:3 as a generator. Of course, it is on the extremely flat end of what is "ordinary", being the same size as a neutral sixth. Coincidentally, its categorical name in this scale happens to be "sixth" also, just not in the "ordinary" diatonic sense of the name.

||||||||||||||~ Generator ||~ cents ||~ L ||~ s ||~ Notes ||

||= 4\9 ||=  ||=  ||=  ||=  ||=  ||=  ||= 845.313 ||= 211.328 ||= 0.00 ||= L=1 s=0 ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 29\65 ||= 848.5645 ||= 204.826 ||= 29.261 ||= L=7 s=1 ||

||=  ||=  ||=  ||=  ||=  ||= 25\56 ||=  ||= 849.087 ||= 203.78 ||= 33.9635 ||= L=6 s=1 ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 46\103 ||= 849.417 ||= 203.121 ||= 36.931 ||=  ||

||=  ||=  ||=  ||=  ||= 21\47 ||=  ||=  ||= 849.81 ||= 202.336 ||= 40.467 ||= L=5 s=1 ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 59\132 ||= 850.116 ||= [[tel:201.7225|201.7225]] ||= 43.226 ||=  ||

||=  ||=  ||=  ||=  ||=  ||= 38\85 ||=  ||= 850.286 ||= 201.383 ||= 44.752 ||=  ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 55\123 ||= 850.468 ||= 201.02 ||= 46.309 ||=  ||

||=  ||=  ||=  ||= 17\38 ||=  ||=  ||=  ||= 850.875 ||= 200.206 ||= 50.051 ||= L=4 s=1 ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 64\143 ||= 851.225 ||= 199.506 ||= 53.2015 ||=  ||

||=  ||=  ||=  ||=  ||=  ||= 47\105 ||=  ||= 851.351 ||= 199.252 ||= 54.342 ||=  ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 77\172 ||= 851.457 ||= 199.042 ||= 55.289 ||=  ||

||=  ||=  ||=  ||=  ||= 30\67 ||=  ||=  ||= 851.622 ||= 198.712 ||= 56.775 ||= L=7 s=2 ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 73\163 ||= 851.796 ||= 198.363 ||= 58.342 ||=  ||

||=  ||=  ||=  ||=  ||=  ||= 43\96 ||=  ||= 851.917 ||= 198.12 ||= 59.436 ||=  ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 56\125 ||= 852.075 ||= 197.803 ||= 60.863 ||=   ||

||=  ||=  ||= 13\29 ||=  ||=  ||=  ||=  ||= 852.6005 ||= 196.754 ||= 65.585 ||= L=3 s=1 ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 61\136 ||= 853.083 ||= [[tel:195.7895|195.7895]] ||= 69.925 ||=  ||

||=  ||=  ||=  ||=  ||=  ||= 48\107 ||=  ||= 853.2135 ||= 195.528 ||= 71.101 ||=  ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 83\185 ||= [[tel:853.3095|853.3095]] ||= 195.336 ||= 71.966 ||=  ||

||=  ||=  ||=  ||=  ||= 35\78 ||=  ||=  ||= 853.441 ||= 195.072 ||= 73.152 ||=  ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 92\205 ||= 853.56 ||= 194.834 ||= 74.223 ||=  ||

||=  ||=  ||=  ||=  ||=  ||= 57\127 ||=  ||= 853.633 ||= 194.688 ||= 74.88 ||=  ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 79\176 ||= 853.718 ||= 194.518 ||= 75.646 ||=  ||

||=  ||=  ||=  ||= 22\49 ||=  ||=  ||=  ||= 853.939 ||= 194.077 ||= 77.631 ||= L=5 s=2 ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 75\167 ||= 854.171 ||= 193.588 ||= 79.722 ||=  ||

||=  ||=  ||=  ||=  ||=  ||= 53\118 ||=  ||= 854.268 ||= 193.419 ||= 80.591 ||=  ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 84\187 ||= 854.354 ||= 193.245 ||= 81.367 ||=  ||

||=  ||=  ||=  ||=  ||= 31\69 ||=  ||=  ||= 854.5015 ||= 192.952 ||= 82.694 ||= L=7 s=3 ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 71\158 ||= 854.676 ||= 192.603 ||= 84.264 ||=  ||

||=  ||=  ||=  ||=  ||=  ||= 40\89 ||=  ||= 854.811 ||= 192.3325 ||= 85.481 ||=  ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 49\109 ||= 855.007 ||= 191.94 ||= 87.246 ||=  ||

||=  ||= 9\20 ||=  ||=  ||=  ||=  ||=  ||= 855.88 ||= 190.1955 ||= 95.098 ||= L=2 s=1 ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 50\111 ||= 856.7365 ||= 188.482 ||= 102.808 ||=  ||

||=  ||=  ||=  ||=  ||=  ||= 41\91 ||=  ||= 856.925 ||= 188.105 ||= 104.503 ||=  ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 73\162 ||= 857.053 ||= 187.847 ||= 105.664 ||=  ||

||=  ||=  ||=  ||=  ||= 32\71 ||=  ||=  ||= 857.737 ||= 187.517 ||= 107.152 ||= L=7 s=4 ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 87\193 ||= 857.358 ||= 187.239 ||= 108.402 ||=  ||

||=  ||=  ||=  ||=  ||=  ||= 55\122 ||=  ||= 857.85 ||= 187.0775 ||= 109.129 ||=  ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 78\173 ||= 857.529 ||= 186.897 ||= 109.94 ||=  ||

||=  ||=  ||=  ||= 23\51 ||=  ||=  ||=  ||= 857.744 ||= 186.466 ||= 111.88 ||= L=5 s=3 ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 83\184 ||= 857.947 ||= 186.061 ||= 113.704 ||=  ||

||=  ||=  ||=  ||=  ||=  ||= 60\133 ||=  ||= 858.025 ||= 185.925 ||= 114.403 ||=  ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 97\215 ||= 858.091 ||= 185.772 ||= 115.002 ||= Golden Sub-Arcturus is near here ||

||=  ||=  ||=  ||=  ||= 37\82 ||=  ||=  ||= 858.199 ||= 185.557 ||= 115.972 ||=  ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 88\195 ||= 858.318 ||= 185.318 ||= 117.043 ||=   ||

||=  ||=  ||=  ||=  ||=  ||= 51\113 ||=  ||= 858.4045 ||= 185.146 ||= 117.82 ||=  ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 65\144 ||= 858.521 ||= 184.912 ||= 118.872 ||=  ||

||=  ||=  ||= 14\31 ||=  ||=  ||=  ||=  ||= 858.947 ||= 184.06 ||= 122.707 ||= L=3 s=2 ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 61\135 ||= 859.402 ||= 183.151 ||= 126.797 ||=  ||

||=  ||=  ||=  ||=  ||=  ||= 47\104 ||=  ||= 859.537 ||= 182.88 ||= 128.016 ||=  ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 80\177 ||= 859.641 ||= 182.674 ||= 128.946 ||=  ||

||=  ||=  ||=  ||=  ||= 33\73 ||=  ||=  ||= 859.788 ||= 182.379 ||= 130.271 ||= L=7 s=5 ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 85\188 ||= [[tel:859.9265|859.9265]] ||= 182.102 ||= 131.518 ||=  ||

||=  ||=  ||=  ||=  ||=  ||= 52\115 ||=  ||= 860.014 ||= 181.926 ||= 132.31 ||=  ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 71\157 ||= 860.12 ||= 181.715 ||= 133.258 ||=  ||

||=  ||=  ||=  ||= 19\42 ||=  ||=  ||=  ||= 860.408 ||= 181.139 ||= 135.854 ||= L=4 s=3 ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 62\137 ||= 860.739 ||= 180.4775 ||= 138.829 ||=  ||

||=  ||=  ||=  ||=  ||=  ||= 43\95 ||=  ||= 860.885 ||= &lt;span style="display: block; text-align: center;"&gt;180.185&lt;/span&gt; ||= &lt;span style="display: block; text-align: center;"&gt;140.144&lt;/span&gt; ||=  ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 67\148 ||= &lt;span style="display: block; text-align: center;"&gt;861.02&lt;/span&gt; ||= &lt;span style="display: block; text-align: center;"&gt;179.915&lt;/span&gt; ||= 141.3615 ||=  ||

||=  ||=  ||=  ||=  ||= 24\53 ||=  ||=  ||= 861.263 ||= 179.43 ||= 143.544 ||= L=5 s=4 ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 53\117 ||= 861.569 ||= 178.816 ||= 146.304 ||=  ||

||=  ||=  ||=  ||=  ||=  ||= 29\64 ||=  ||= 861.823 ||= 178.308 ||= 148.59 ||= L=6 s=5 ||

||=  ||=  ||=  ||=  ||=  ||=  ||= 34\75 ||= 862.22 ||= 177.516 ||= 152.156 ||= L=7 s=6 ||

||= 5\11 ||=  ||=  ||=  ||=  ||=  ||=  ||= 864.525 ||||= 172.905 ||= L=1 s=1 ||</pre></div>

<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;Sub-Arcturus&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Having 9 large steps and 2 small steps, this MOS family is the simplest tritave-equivalent scale using an &amp;quot;ordinary&amp;quot; ~5:3 as a generator. Of course, it is on the extremely flat end of what is &amp;quot;ordinary&amp;quot;, being the same size as a neutral sixth. Coincidentally, its categorical name in this scale happens to be &amp;quot;sixth&amp;quot; also, just not in the &amp;quot;ordinary&amp;quot; diatonic sense of the name.&lt;br /&gt;

         &lt;td style="text-align: center;"&gt;848.5645&lt;br /&gt;

         &lt;td style="text-align: center;"&gt;852.6005&lt;br /&gt;

         &lt;td style="text-align: center;"&gt;853.2135&lt;br /&gt;

         &lt;td style="text-align: center;"&gt;854.5015&lt;br /&gt;

         &lt;td style="text-align: center;"&gt;192.3325&lt;br /&gt;

         &lt;td style="text-align: center;"&gt;190.1955&lt;br /&gt;

         &lt;td style="text-align: center;"&gt;856.7365&lt;br /&gt;

         &lt;td style="text-align: center;"&gt;187.0775&lt;br /&gt;

         &lt;td style="text-align: center;"&gt;858.4045&lt;br /&gt;

         &lt;td style="text-align: center;"&gt;180.4775&lt;br /&gt;

         &lt;td style="text-align: center;"&gt;141.3615&lt;br /&gt;