Supermajor and subminor/Tunings: Difference between revisions

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== In other notations ==

In, say, [[41edo]] or [[53edo]] (or other similar systems), "upmajor" corresponds to "supermajor", and "downminor" to "subminor". Here is a rough list of [[EDOs]] where this is true in regards to thirds (i.e. the (anti)diatonic major third is >370{{c}} and <415{{c}} and the upmajor third is >425{{c}} and <460{{c}}). The restriction on normal major thirds is placed to ensure that the chosen diatonic major thirds are not already within the supermajor range.

In, say, [[41edo]] or [[53edo]] (or other similar systems), "upmajor" corresponds to "supermajor", and "downminor" to "subminor". Here is a rough list of [[EDOs]] where this is true in regards to thirds (i.e. the (anti)diatonic major third is >370{{cent}} and <415{{c}} and the upmajor third is >425{{c}} and <460{{c}}). The restriction on normal major thirds is placed to ensure that the chosen diatonic major thirds are not already within the supermajor range.

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Similarly, as mentioned, [[diatonic]] thirds can be supermajor, and thus other diatonic intervals supermajor or subminor:

With our previously established supermajor range, this corresponds to a diatonic fifth of >706.25 ~~[[cents]]~~ and <715 ~~cents~~; here are all EDOs which have that as a [[patent val]] fifth, excluding contorted EDOs (i.e. those which have the same fifth as a smaller EDO).

With our previously established supermajor range, this corresponds to a diatonic fifth of >706.25{{c}} and <715{{c}}; here are all EDOs which have that as a [[patent val]] fifth, excluding contorted EDOs (i.e. those which have the same fifth as a smaller EDO).

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 == In other notations ==
-In, say, [[41edo]] or [[53edo]] (or other similar systems), "upmajor" corresponds to "supermajor", and "downminor" to "subminor". Here is a rough list of [[EDOs]] where this is true in regards to thirds (i.e. the (anti)diatonic major third is &gt;370{{c}} and &lt;415{{c}} and the upmajor third is &gt;425{{c}} and &lt;460{{c}}). The restriction on normal major thirds is placed to ensure that the chosen diatonic major thirds are not already within the supermajor range.
+In, say, [[41edo]] or [[53edo]] (or other similar systems), "upmajor" corresponds to "supermajor", and "downminor" to "subminor". Here is a rough list of [[EDOs]] where this is true in regards to thirds (i.e. the (anti)diatonic major third is &gt;370{{cent}} and &lt;415{{c}} and the upmajor third is &gt;425{{c}} and &lt;460{{c}}). The restriction on normal major thirds is placed to ensure that the chosen diatonic major thirds are not already within the supermajor range.
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 |}
 Similarly, as mentioned, [[diatonic]] thirds can be supermajor, and thus other diatonic intervals supermajor or subminor:
-With our previously established supermajor range, this corresponds to a diatonic fifth of >706.25 [[cents]] and <715 cents; here are all EDOs which have that as a [[patent val]] fifth, excluding contorted EDOs (i.e. those which have the same fifth as a smaller EDO).
+With our previously established supermajor range, this corresponds to a diatonic fifth of &gt;706.25{{c}} and &lt;715{{c}}; here are all EDOs which have that as a [[patent val]] fifth, excluding contorted EDOs (i.e. those which have the same fifth as a smaller EDO).
 {| class="wikitable"