Mavlim scales
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2014-03-28 10:45:21 UTC.
- The original revision id was 499034802.
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Original Wikitext content:
! 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
Original HTML content:
<html><head><title>mavlim scales</title></head><body>! mavlim1.scl<br /> !<br /> First 27/25&135/128 scale<br /> ! epimorphic scale which tempers to -4 to 4 in meantone<br /> ! x^9-14*x^7-12*x^6+40*x^5+40*x^4-34*x^3-32*x^2+7*x+4<br /> ! Fokblock([27/25, 135/128], [4, 4]) = Fokblock([27/25, 729/640], [6, 4]) = Fockblock([135/128, 729/640], [6, 4])<br /> 9<br /> !<br /> 9/8<br /> 6/5<br /> 5/4<br /> 4/3<br /> 3/2<br /> 8/5<br /> 5/3<br /> 16/9<br /> 2/1<br /> <br /> ! mavlim2.scl<br /> Second 27/25&135/128 scale = inverse mavlim3<br /> ! x^9-15*x^7-14*x^6+53*x^5+80*x^4-11*x^3-50*x^2-4*x+8<br /> ! Fokblock([27/25, 135/128], [3, 5]) = Fokblock([27/25, 729/640], [6, 5]) = Fockblock([135/128, 729/640], [7, 3])<br /> 9<br /> !<br /> 10/9<br /> 9/8<br /> 5/4<br /> 4/3<br /> 3/2<br /> 8/5<br /> 5/3<br /> 15/8<br /> 2<br /> <br /> ! mavlim3.scl<br /> Third 27/25&135/128 scale = inverse mavlim2<br /> ! Fokblock([27/25, 135/128], [5, 3]) = Fokblock([27/25, 729/640], [7, 3]) = Fokblock([135/128, 729/640], [6, 5])<br /> 9<br /> !<br /> 16/15<br /> 6/5<br /> 5/4<br /> 4/3<br /> 3/2<br /> 8/5<br /> 16/9<br /> 9/5<br /> 2<br /> <br /> ! mavlim4.scl<br /> Fourth 27/25&135/128 scale = tetratriad1 inverse mavlim5<br /> ! Fokblock([27/25, 135/128], [3, 6]) = Fokblock([27/25, 729/640], [1, 6]) = Fokblock([135/128, 729/640], [7, 3])<br /> 9<br /> !<br /> 10/9<br /> 9/8<br /> 5/4<br /> 4/3<br /> 3/2<br /> 5/3<br /> 27/16<br /> 15/8<br /> 2<br /> <br /> ! mavlim5.scl<br /> Fifth 27/25&135/128 scale = inverse mavlim4<br /> ! Fokblock([27/25, 135/128], [6, 4]) = Fokblock([27/25, 729/640], [6, 4]) = Fokblock([135/128, 729/640], [2, 6])<br /> 9<br /> !<br /> 9/8<br /> 6/5<br /> 4/3<br /> 27/20<br /> 3/2<br /> 8/5<br /> 16/9<br /> 9/5<br /> 2<br /> <br /> ! mavlim6.scl<br /> Sixth 27/25&135/128 scale = inverse mavlim7<br /> 9<br /> ! Fokblock([27/25, 135/128], [5, 5]) = Fokblock([27/25, 729/640], [6, 5]) = Fokblock([135/128, 729/640], [7, 5])<br /> 9/8<br /> 6/5<br /> 5/4<br /> 4/3<br /> 3/2<br /> 8/5<br /> 9/5<br /> 15/8<br /> 2<br /> <br /> ! mavlim7.scl<br /> Seventh 27/25&135/128 scale = inverse mavlim6<br /> ! Fokblock([27/25, 135/128], [4, 5]) = Fokblock([27/25, 729/640], [6, 5]) = Fokblock([135/128, 729/640], [7, 4])<br /> 9<br /> !<br /> 9/8<br /> 6/5<br /> 5/4<br /> 4/3<br /> 3/2<br /> 8/5<br /> 5/3<br /> 15/8<br /> 2<br /> <br /> ! mavlim8.scl<br /> Eigth 27/25&135/128 scale = inverse mavlim9<br /> ! Fokblock([27/25, 135/128], [5, 4]) = Fokblock([27/25, 729/640], [6, 4]) = Fokblock([135/128, 729/640], [6, 5])<br /> 9<br /> !<br /> 9/8<br /> 6/5<br /> 5/4<br /> 4/3<br /> 3/2<br /> 8/5<br /> 16/9<br /> 9/5<br /> 2<br /> <br /> ! mavlim9.scl<br /> Ninth 27/25&135/128 scale = inverse mavlim8<br /> ! Fokblock([27/25, 135/128], [3, 4]) = Fokblock([27/25, 729/640], [6, 4]) = Fokblock([135/128, 729/640], [6, 3])<br /> 9<br /> !<br /> 10/9<br /> 9/8<br /> 5/4<br /> 4/3<br /> 3/2<br /> 8/5<br /> 5/3<br /> 16/9<br /> 2</body></html>