Mavlim scales: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
! mavlim1.scl
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
 
: 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
! epimorphic scale which tempers to -4 to 4 in meantone
! epimorphic scale which tempers to -4 to 4 in meantone
! 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
 
6/5
9/8
5/4
 
4/3
6/5
3/2
 
8/5
5/4
5/3
 
16/9
4/3
2/1
 
3/2
 
8/5
 
5/3
 
16/9
 
2/1


! mavlim2.scl
! mavlim2.scl
Second 27/25&amp;135/128 scale = inverse mavlim3
Second 27/25&amp;135/128 scale = inverse mavlim3
! x^9-15*x^7-14*x^6+53*x^5+80*x^4-11*x^3-50*x^2-4*x+8
! x^9-15*x^7-14*x^6+53*x^5+80*x^4-11*x^3-50*x^2-4*x+8
! Fokblock([27/25, 135/128], [3, 5]) = Fokblock([27/25, 729/640], [6, 5]) = Fockblock([135/128, 729/640], [7, 3])
! Fokblock([27/25, 135/128], [3, 5]) = Fokblock([27/25, 729/640], [6, 5]) = Fockblock([135/128, 729/640], [7, 3])
9
9
!
!
10/9
10/9
9/8
9/8
5/4
5/4
4/3
4/3
3/2
3/2
8/5
8/5
5/3
5/3
15/8
15/8
2
2


! mavlim3.scl
! mavlim3.scl
Third 27/25&amp;135/128 scale = inverse mavlim2
Third 27/25&amp;135/128 scale = inverse mavlim2
! Fokblock([27/25, 135/128], [5, 3]) = Fokblock([27/25, 729/640], [7, 3]) = Fokblock([135/128, 729/640], [6, 5])
! Fokblock([27/25, 135/128], [5, 3]) = Fokblock([27/25, 729/640], [7, 3]) = Fokblock([135/128, 729/640], [6, 5])
9
9
!
!
16/15
16/15
6/5
6/5
5/4
5/4
4/3
4/3
3/2
3/2
8/5
8/5
16/9
16/9
9/5
9/5
2
2


! mavlim4.scl
! mavlim4.scl
Fourth 27/25&amp;135/128 scale = tetratriad1 inverse mavlim5
Fourth 27/25&amp;135/128 scale = tetratriad1 inverse mavlim5
! Fokblock([27/25, 135/128], [3, 6]) = Fokblock([27/25, 729/640], [1, 6]) = Fokblock([135/128, 729/640], [7, 3])
! Fokblock([27/25, 135/128], [3, 6]) = Fokblock([27/25, 729/640], [1, 6]) = Fokblock([135/128, 729/640], [7, 3])
9
9
!
!
10/9
10/9
9/8
9/8
5/4
5/4
4/3
4/3
3/2
3/2
5/3
5/3
27/16
27/16
15/8
15/8
2
2


! mavlim5.scl
! mavlim5.scl
Fifth 27/25&amp;135/128 scale = inverse mavlim4
Fifth 27/25&amp;135/128 scale = inverse mavlim4
! Fokblock([27/25, 135/128], [6, 4]) = Fokblock([27/25, 729/640], [6, 4]) = Fokblock([135/128, 729/640], [2, 6])
! Fokblock([27/25, 135/128], [6, 4]) = Fokblock([27/25, 729/640], [6, 4]) = Fokblock([135/128, 729/640], [2, 6])
9
9
!
!
9/8
9/8
6/5
6/5
4/3
4/3
27/20
27/20
3/2
3/2
8/5
8/5
16/9
16/9
9/5
9/5
2
2


! mavlim6.scl
! mavlim6.scl
Sixth 27/25&amp;135/128 scale = inverse mavlim7
Sixth 27/25&amp;135/128 scale = inverse mavlim7
9
9
! Fokblock([27/25, 135/128], [5, 5]) = Fokblock([27/25, 729/640], [6, 5]) = Fokblock([135/128, 729/640], [7, 5])
! Fokblock([27/25, 135/128], [5, 5]) = Fokblock([27/25, 729/640], [6, 5]) = Fokblock([135/128, 729/640], [7, 5])
9/8
9/8
6/5
6/5
5/4
5/4
4/3
4/3
3/2
3/2
8/5
8/5
9/5
9/5
15/8
15/8
2
2


! mavlim7.scl
! mavlim7.scl
Seventh 27/25&amp;135/128 scale = inverse mavlim6
Seventh 27/25&amp;135/128 scale = inverse mavlim6
! Fokblock([27/25, 135/128], [4, 5]) = Fokblock([27/25, 729/640], [6, 5]) = Fokblock([135/128, 729/640], [7, 4])
! Fokblock([27/25, 135/128], [4, 5]) = Fokblock([27/25, 729/640], [6, 5]) = Fokblock([135/128, 729/640], [7, 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
15/8
15/8
2
2


! mavlim8.scl
! mavlim8.scl
Eigth 27/25&amp;135/128 scale = inverse mavlim9
Eigth 27/25&amp;135/128 scale = inverse mavlim9
! Fokblock([27/25, 135/128], [5, 4]) = Fokblock([27/25, 729/640], [6, 4]) = Fokblock([135/128, 729/640], [6, 5])
! Fokblock([27/25, 135/128], [5, 4]) = Fokblock([27/25, 729/640], [6, 4]) = Fokblock([135/128, 729/640], [6, 5])
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
16/9
16/9
9/5
9/5
2
2


! mavlim9.scl
! mavlim9.scl
Ninth 27/25&amp;135/128 scale = inverse mavlim8
Ninth 27/25&amp;135/128 scale = inverse mavlim8
! Fokblock([27/25, 135/128], [3, 4]) = Fokblock([27/25, 729/640], [6, 4]) = Fokblock([135/128, 729/640], [6, 3])
! Fokblock([27/25, 135/128], [3, 4]) = Fokblock([27/25, 729/640], [6, 4]) = Fokblock([135/128, 729/640], [6, 3])
9
9
!
!
10/9
10/9
9/8
9/8
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
2
</pre></div>
<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;
!&lt;br /&gt;
First 27/25&amp;amp;135/128 scale&lt;br /&gt;
! epimorphic scale which tempers to -4 to 4 in meantone&lt;br /&gt;
! 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;
! 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>

Revision as of 00:00, 17 July 2018

! mavlim1.scl

!

First 27/25&135/128 scale

! epimorphic scale which tempers to -4 to 4 in meantone

! 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])

9

!

9/8

6/5

5/4

4/3

3/2

8/5

5/3

16/9

2/1

! mavlim2.scl

Second 27/25&135/128 scale = inverse mavlim3

! x^9-15*x^7-14*x^6+53*x^5+80*x^4-11*x^3-50*x^2-4*x+8

! Fokblock([27/25, 135/128], [3, 5]) = Fokblock([27/25, 729/640], [6, 5]) = Fockblock([135/128, 729/640], [7, 3])

9

!

10/9

9/8

5/4

4/3

3/2

8/5

5/3

15/8

2

! mavlim3.scl

Third 27/25&135/128 scale = inverse mavlim2

! Fokblock([27/25, 135/128], [5, 3]) = Fokblock([27/25, 729/640], [7, 3]) = Fokblock([135/128, 729/640], [6, 5])

9

!

16/15

6/5

5/4

4/3

3/2

8/5

16/9

9/5

2

! mavlim4.scl

Fourth 27/25&135/128 scale = tetratriad1 inverse mavlim5

! Fokblock([27/25, 135/128], [3, 6]) = Fokblock([27/25, 729/640], [1, 6]) = Fokblock([135/128, 729/640], [7, 3])

9

!

10/9

9/8

5/4

4/3

3/2

5/3

27/16

15/8

2

! mavlim5.scl

Fifth 27/25&135/128 scale = inverse mavlim4

! Fokblock([27/25, 135/128], [6, 4]) = Fokblock([27/25, 729/640], [6, 4]) = Fokblock([135/128, 729/640], [2, 6])

9

!

9/8

6/5

4/3

27/20

3/2

8/5

16/9

9/5

2

! mavlim6.scl

Sixth 27/25&135/128 scale = inverse mavlim7

9

! Fokblock([27/25, 135/128], [5, 5]) = Fokblock([27/25, 729/640], [6, 5]) = Fokblock([135/128, 729/640], [7, 5])

9/8

6/5

5/4

4/3

3/2

8/5

9/5

15/8

2

! mavlim7.scl

Seventh 27/25&135/128 scale = inverse mavlim6

! Fokblock([27/25, 135/128], [4, 5]) = Fokblock([27/25, 729/640], [6, 5]) = Fokblock([135/128, 729/640], [7, 4])

9

!

9/8

6/5

5/4

4/3

3/2

8/5

5/3

15/8

2

! mavlim8.scl

Eigth 27/25&135/128 scale = inverse mavlim9

! Fokblock([27/25, 135/128], [5, 4]) = Fokblock([27/25, 729/640], [6, 4]) = Fokblock([135/128, 729/640], [6, 5])

9

!

9/8

6/5

5/4

4/3

3/2

8/5

16/9

9/5

2

! mavlim9.scl

Ninth 27/25&135/128 scale = inverse mavlim8

! Fokblock([27/25, 135/128], [3, 4]) = Fokblock([27/25, 729/640], [6, 4]) = Fokblock([135/128, 729/640], [6, 3])

9

!

10/9

9/8

5/4

4/3

3/2

8/5

5/3

16/9

2

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