User:Kaiveran/Nupelog: Difference between revisions

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 ==Modes ==
 ===Cyclic order===
-The modes arranged in cyclic order: (Note: The mode names are based on the 5-limit JI interpretation; modes in a less JI-like tuning may differ greatly from what these names suggest.)
+The modes arranged in cyclic order:
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 ???
 ==Properties==
-#The fifth (???) of nupelog must be a [[Sharpness|superflat]] fifth.<!--
+#The fifth of nupelog must be a [[Sharpness|superflat]] fifth, as its limit of 4\[[7edo]] is by definition the boundary between diatonic and superflat tunings.
-#* (To see this: Consider the chain of fifths generated by the fifth. The diatonic chroma = 7 fifths - 4 octaves = 21L + 7M + 14S - (20L + 8M + 12S) = L - M + 2S. Since L - M >= 0, this must always be nonnegative, so the fifth must be >= 4\7. The fifth cannot be sharper than 3\5, since it generates the [[2L 3s|2L' 3s']] subset of blackdye with L' = ML and s' = SL.)-->
 #???
 #*