Cv scales: Difference between revisions

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From [http://tech.groups.yahoo.com/group/tuning-math/message/11451 http://tech.groups.yahoo.com/group/tuning-math/message/11451]

From [http://tech.groups.yahoo.com/group/tuning-math/message/11451 http://tech.groups.yahoo.com/group/tuning-math/message/11451] {{dead link}}

It turns out there are a lot of five tetrad scales involving only 11 notes (I've got a list of 132 of them) but none I've found are strictly [[Periodic_scale|epimorphic]]. Checking for permutation epimorphic scales may be a good plan.

"''It turns out there are a lot of five tetrad scales involving only 11 notes (I've got a list of 132 of them) but none I've found are strictly [[Periodic_scale|epimorphic]]. Checking for permutation epimorphic scales may be a good plan.''

Of course, there are even more five tetrad scales with 12 notes, but here I give only ones which are epimorphic--all, as it turns out, with the [[Patent_val|standard val]]. I cataloged these in pairs, where the odd numbers have three major and two minor tetrads, and the even pairs the reverse. Marvel tempering removes this distinction, and I only list the odd, with the three major tetrads.

''Of course, there are even more five tetrad scales with 12 notes, but here I give only ones which are epimorphic--all, as it turns out, with the [[Patent_val|standard val]]. I cataloged these in pairs, where the odd numbers have three major and two minor tetrads, and the even pairs the reverse. Marvel tempering removes this distinction, and I only list the odd, with the three major tetrads.''

I found two scales I've found before, "pris" and "hen12". The latter is an adjusted version of the Hahn reduction of a chain of fifths.

''I found two scales I've found before, "pris" and "hen12". The latter is an adjusted version of the Hahn reduction of a chain of fifths.''"

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-From [http://tech.groups.yahoo.com/group/tuning-math/message/11451 http://tech.groups.yahoo.com/group/tuning-math/message/11451]
+From [http://tech.groups.yahoo.com/group/tuning-math/message/11451 http://tech.groups.yahoo.com/group/tuning-math/message/11451] {{dead link}}
-It turns out there are a lot of five tetrad scales involving only 11 notes (I've got a list of 132 of them) but none I've found are strictly [[Periodic_scale|epimorphic]]. Checking for permutation epimorphic scales may be a good plan.
+"''It turns out there are a lot of five tetrad scales involving only 11 notes (I've got a list of 132 of them) but none I've found are strictly [[Periodic_scale|epimorphic]]. Checking for permutation epimorphic scales may be a good plan.''
-Of course, there are even more five tetrad scales with 12 notes, but here I give only ones which are epimorphic--all, as it turns out, with the [[Patent_val|standard val]]. I cataloged these in pairs, where the odd numbers have three major and two minor tetrads, and the even pairs the reverse. Marvel tempering removes this distinction, and I only list the odd, with the three major tetrads.
+''Of course, there are even more five tetrad scales with 12 notes, but here I give only ones which are epimorphic--all, as it turns out, with the [[Patent_val|standard val]]. I cataloged these in pairs, where the odd numbers have three major and two minor tetrads, and the even pairs the reverse. Marvel tempering removes this distinction, and I only list the odd, with the three major tetrads.''
-I found two scales I've found before, "pris" and "hen12". The latter is an adjusted version of the Hahn reduction of a chain of fifths.
+''I found two scales I've found before, "pris" and "hen12". The latter is an adjusted version of the Hahn reduction of a chain of fifths.''"
 <pre>