Mavlim scales: Difference between revisions

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<pre>
! mavlim1.scl
! 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
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
! 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
 
</pre>
<pre>
! 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
 
</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
! 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
 
</pre>
<pre>
! 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
 
</pre>
<pre>
! 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
 
</pre>
<pre>
! 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
 
</pre>
<pre>
! 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
 
</pre>
<pre>
! 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>
[[Category:Lists of scales]]
[[Category:Just intonation scales]]
[[Category:Fokker block]]
[[Category:Pages with Scala files]]

Revision as of 06:12, 1 May 2023

! 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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