Mavlim scales

From TD Xenharmonic Wiki
Jump to navigation Jump to search

! 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