Mavlim scales: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 499034802 - Original comment: **
 
BudjarnLambeth (talk | contribs)
m {{Navbox scale gallery}}
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<pre>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
! mavlim1.scl
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-03-28 10:45:21 UTC</tt>.<br>
: The original revision id was <tt>499034802</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>
<h4>Original Wikitext content:</h4>
<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">! mavlim1.scl
!
!
First 27/25&amp;135/128 scale
First 27/25&amp;135/128 scale
Line 12: Line 6:
! x^9-14*x^7-12*x^6+40*x^5+40*x^4-34*x^3-32*x^2+7*x+4
! x^9-14*x^7-12*x^6+40*x^5+40*x^4-34*x^3-32*x^2+7*x+4
! Fokblock([27/25, 135/128], [4, 4]) = Fokblock([27/25, 729/640], [6, 4]) = Fockblock([135/128, 729/640], [6, 4])
! Fokblock([27/25, 135/128], [4, 4]) = Fokblock([27/25, 729/640], [6, 4]) = Fockblock([135/128, 729/640], [6, 4])
9
9
!
!
9/8
9/8
6/5
6/5
5/4
5/4
4/3
4/3
3/2
3/2
8/5
8/5
5/3
5/3
16/9
16/9
2/1
2/1
 
</pre>
<pre>
! mavlim2.scl
! mavlim2.scl
Second 27/25&amp;135/128 scale = inverse mavlim3
Second 27/25&amp;135/128 scale = inverse mavlim3
Line 39: Line 34:
15/8
15/8
2
2
 
</pre>
<pre>
! mavlim3.scl
! mavlim3.scl
Third 27/25&amp;135/128 scale = inverse mavlim2
Third 27/25&amp;135/128 scale = inverse mavlim2
Line 54: Line 50:
9/5
9/5
2
2
 
</pre>
<pre>
! mavlim4.scl
! mavlim4.scl
Fourth 27/25&amp;135/128 scale = tetratriad1 inverse mavlim5
Fourth 27/25&amp;135/128 scale = tetratriad1 inverse mavlim5
Line 69: Line 66:
15/8
15/8
2
2
 
</pre>
<pre>
! mavlim5.scl
! mavlim5.scl
Fifth 27/25&amp;135/128 scale = inverse mavlim4
Fifth 27/25&amp;135/128 scale = inverse mavlim4
Line 84: Line 82:
9/5
9/5
2
2
 
</pre>
<pre>
! mavlim6.scl
! mavlim6.scl
Sixth 27/25&amp;135/128 scale = inverse mavlim7
Sixth 27/25&amp;135/128 scale = inverse mavlim7
Line 98: Line 97:
15/8
15/8
2
2
 
</pre>
<pre>
! mavlim7.scl
! mavlim7.scl
Seventh 27/25&amp;135/128 scale = inverse mavlim6
Seventh 27/25&amp;135/128 scale = inverse mavlim6
Line 113: Line 113:
15/8
15/8
2
2
 
</pre>
<pre>
! mavlim8.scl
! mavlim8.scl
Eigth 27/25&amp;135/128 scale = inverse mavlim9
Eigth 27/25&amp;135/128 scale = inverse mavlim9
Line 128: Line 129:
9/5
9/5
2
2
 
</pre>
<pre>
! mavlim9.scl
! mavlim9.scl
Ninth 27/25&amp;135/128 scale = inverse mavlim8
Ninth 27/25&amp;135/128 scale = inverse mavlim8
Line 143: Line 145:
16/9
16/9
2
2
</pre></div>
</pre>
<h4>Original HTML content:</h4>
 
<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;mavlim scales&lt;/title&gt;&lt;/head&gt;&lt;body&gt;! mavlim1.scl&lt;br /&gt;
{{Navbox scale gallery}}
!&lt;br /&gt;
[[Category:Lists of scales]]
First 27/25&amp;amp;135/128 scale&lt;br /&gt;
[[Category:Just intonation scales]]
! epimorphic scale which tempers to -4 to 4 in meantone&lt;br /&gt;
[[Category:Fokker blocks]]
! x^9-14*x^7-12*x^6+40*x^5+40*x^4-34*x^3-32*x^2+7*x+4&lt;br /&gt;
[[Category:Pages with Scala files]]
! Fokblock([27/25, 135/128], [4, 4]) = Fokblock([27/25, 729/640], [6, 4]) = Fockblock([135/128, 729/640], [6, 4])&lt;br /&gt;
9&lt;br /&gt;
!&lt;br /&gt;
9/8&lt;br /&gt;
6/5&lt;br /&gt;
5/4&lt;br /&gt;
4/3&lt;br /&gt;
3/2&lt;br /&gt;
8/5&lt;br /&gt;
5/3&lt;br /&gt;
16/9&lt;br /&gt;
2/1&lt;br /&gt;
&lt;br /&gt;
! mavlim2.scl&lt;br /&gt;
Second 27/25&amp;amp;135/128 scale = inverse mavlim3&lt;br /&gt;
! x^9-15*x^7-14*x^6+53*x^5+80*x^4-11*x^3-50*x^2-4*x+8&lt;br /&gt;
! Fokblock([27/25, 135/128], [3, 5]) = Fokblock([27/25, 729/640], [6, 5]) = Fockblock([135/128, 729/640], [7, 3])&lt;br /&gt;
9&lt;br /&gt;
!&lt;br /&gt;
10/9&lt;br /&gt;
9/8&lt;br /&gt;
5/4&lt;br /&gt;
4/3&lt;br /&gt;
3/2&lt;br /&gt;
8/5&lt;br /&gt;
5/3&lt;br /&gt;
15/8&lt;br /&gt;
2&lt;br /&gt;
&lt;br /&gt;
! mavlim3.scl&lt;br /&gt;
Third 27/25&amp;amp;135/128 scale = inverse mavlim2&lt;br /&gt;
! Fokblock([27/25, 135/128], [5, 3]) = Fokblock([27/25, 729/640], [7, 3]) = Fokblock([135/128, 729/640], [6, 5])&lt;br /&gt;
9&lt;br /&gt;
!&lt;br /&gt;
16/15&lt;br /&gt;
6/5&lt;br /&gt;
5/4&lt;br /&gt;
4/3&lt;br /&gt;
3/2&lt;br /&gt;
8/5&lt;br /&gt;
16/9&lt;br /&gt;
9/5&lt;br /&gt;
2&lt;br /&gt;
&lt;br /&gt;
! mavlim4.scl&lt;br /&gt;
Fourth 27/25&amp;amp;135/128 scale = tetratriad1 inverse mavlim5&lt;br /&gt;
! Fokblock([27/25, 135/128], [3, 6]) = Fokblock([27/25, 729/640], [1, 6]) = Fokblock([135/128, 729/640], [7, 3])&lt;br /&gt;
9&lt;br /&gt;
!&lt;br /&gt;
10/9&lt;br /&gt;
9/8&lt;br /&gt;
5/4&lt;br /&gt;
4/3&lt;br /&gt;
3/2&lt;br /&gt;
5/3&lt;br /&gt;
27/16&lt;br /&gt;
15/8&lt;br /&gt;
2&lt;br /&gt;
&lt;br /&gt;
! mavlim5.scl&lt;br /&gt;
Fifth 27/25&amp;amp;135/128 scale = inverse mavlim4&lt;br /&gt;
! Fokblock([27/25, 135/128], [6, 4]) = Fokblock([27/25, 729/640], [6, 4]) = Fokblock([135/128, 729/640], [2, 6])&lt;br /&gt;
9&lt;br /&gt;
!&lt;br /&gt;
9/8&lt;br /&gt;
6/5&lt;br /&gt;
4/3&lt;br /&gt;
27/20&lt;br /&gt;
3/2&lt;br /&gt;
8/5&lt;br /&gt;
16/9&lt;br /&gt;
9/5&lt;br /&gt;
2&lt;br /&gt;
&lt;br /&gt;
! mavlim6.scl&lt;br /&gt;
Sixth 27/25&amp;amp;135/128 scale = inverse mavlim7&lt;br /&gt;
9&lt;br /&gt;
! Fokblock([27/25, 135/128], [5, 5]) = Fokblock([27/25, 729/640], [6, 5]) = Fokblock([135/128, 729/640], [7, 5])&lt;br /&gt;
9/8&lt;br /&gt;
6/5&lt;br /&gt;
5/4&lt;br /&gt;
4/3&lt;br /&gt;
3/2&lt;br /&gt;
8/5&lt;br /&gt;
9/5&lt;br /&gt;
15/8&lt;br /&gt;
2&lt;br /&gt;
&lt;br /&gt;
! mavlim7.scl&lt;br /&gt;
Seventh 27/25&amp;amp;135/128 scale = inverse mavlim6&lt;br /&gt;
! Fokblock([27/25, 135/128], [4, 5]) = Fokblock([27/25, 729/640], [6, 5]) = Fokblock([135/128, 729/640], [7, 4])&lt;br /&gt;
9&lt;br /&gt;
!&lt;br /&gt;
9/8&lt;br /&gt;
6/5&lt;br /&gt;
5/4&lt;br /&gt;
4/3&lt;br /&gt;
3/2&lt;br /&gt;
8/5&lt;br /&gt;
5/3&lt;br /&gt;
15/8&lt;br /&gt;
2&lt;br /&gt;
&lt;br /&gt;
! mavlim8.scl&lt;br /&gt;
Eigth 27/25&amp;amp;135/128 scale = inverse mavlim9&lt;br /&gt;
! Fokblock([27/25, 135/128], [5, 4]) = Fokblock([27/25, 729/640], [6, 4]) = Fokblock([135/128, 729/640], [6, 5])&lt;br /&gt;
9&lt;br /&gt;
!&lt;br /&gt;
9/8&lt;br /&gt;
6/5&lt;br /&gt;
5/4&lt;br /&gt;
4/3&lt;br /&gt;
3/2&lt;br /&gt;
8/5&lt;br /&gt;
16/9&lt;br /&gt;
9/5&lt;br /&gt;
2&lt;br /&gt;
&lt;br /&gt;
! mavlim9.scl&lt;br /&gt;
Ninth 27/25&amp;amp;135/128 scale = inverse mavlim8&lt;br /&gt;
! Fokblock([27/25, 135/128], [3, 4]) = Fokblock([27/25, 729/640], [6, 4]) = Fokblock([135/128, 729/640], [6, 3])&lt;br /&gt;
9&lt;br /&gt;
!&lt;br /&gt;
10/9&lt;br /&gt;
9/8&lt;br /&gt;
5/4&lt;br /&gt;
4/3&lt;br /&gt;
3/2&lt;br /&gt;
8/5&lt;br /&gt;
5/3&lt;br /&gt;
16/9&lt;br /&gt;
2&lt;/body&gt;&lt;/html&gt;</pre></div>