Mavlim scales: Difference between revisions
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<pre> | |||
! mavlim1.scl | ! mavlim1.scl | ||
! | ! | ||
First 27/25&135/128 scale | First 27/25&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&135/128 scale = inverse mavlim3 | 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 | ! 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&135/128 scale = inverse mavlim2 | 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]) | ! 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&135/128 scale = tetratriad1 inverse mavlim5 | 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]) | ! 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&135/128 scale = inverse mavlim4 | 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]) | ! 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&135/128 scale = inverse mavlim7 | Sixth 27/25&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&135/128 scale = inverse mavlim6 | 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]) | ! 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&135/128 scale = inverse mavlim9 | 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]) | ! 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&135/128 scale = inverse mavlim8 | 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]) | ! 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]] | |||