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245/243-planar versions of aaron.scl and akj.scl

🔗Gene Ward Smith <gwsmith@svpal.org>

4/6/2004 2:15:00 PM

Below I give TOP tuned versions of these scales with 245/243 tempered
out. Whether or not having a 9/7 six cents sharp makes up for now
having a few major and minor triads in the mix is a question anyone
wanting to use these scales needs to answer for themselves. Aaron.scl
and akj.scl now have two major and two minor triads. Aaron in addition
also now has one each of a major, minor, supermajor and subminor tetrad.

As with aaron.scl, akj.scl can also advantageously be tempered with
certain linear temperaments; octacot again being in practice much like
245/243-planar, but another possibility is magic. Tempered by magic,
akj.scl becomes -10,-5,-3,-2,0,2,3,5,7,8,10,15 which is something to
keep in mind by the people who are looking for smaller sized scales
tempered by magic. Octacot reduces akj.scl to
-16,-13,-8,-5,0,3,5,8,13,16,21,24.

! akjmagic.scl
TOP tuned magic tempering of akj.scl
12
!
58.889588
204.126953
263.016542
439.685307
498.574895
643.812260
702.701848
761.591437
906.828801
997.149791
1142.387155
1201.276744

! akj245.scl
TOP tuned 245/243-planar tempering of akj.scl
12
!
56.195308
206.745990
262.941298
440.431697
496.627005
647.177687
703.372995
759.568303
910.118986
993.254010
1143.804692
1200.000000

! aaron245.scl
TOP tuned 245/243-planar tempering of aaron.scl
12
!
56.195308
206.745990
262.941298
440.431697
496.627005
525.882596
703.372995
759.568303
937.058702
966.314293
1022.509601
1200.000000