Supermajor and subminor: Difference between revisions

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Supermajor and subminor intervals are found in diatonic scales where the fifth is tuned significantly sharper than just—depending on the desired interval category, between 709 and 715{{c}}. For a given [[neutral]] interval ''k'' in cents, the supermajor quality ranges from around {{nowrap|''k'' + 78}} to {{nowrap|''k'' + 95}}, and the subminor quality ranges from around {{nowrap|''k'' − 95}} to {{nowrap|''k'' − 78}}.

Supermajor and subminor intervals are associated with [[Ploidacot/Tricot|tricot]] systems.

Supermajor and subminor intervals are associated with [[Ploidacot/Tricot|tricot]] systems, as one generator represents a supermajor second, and four stacked downward represent a subminor third.

Optionally, the category of supermajor or subminor may be split into two smaller categories. Tuning ranges have been provided in terms of thirds:

* Supermajor and subminor, for thirds, may more precisely refer to the ranges between about 429–438 and 264–273, respectively. These are the ranges more closely focused around septimal intervals. Supermajor seconds, under this definition, range from about 225 to 234{{c}}. For a given [[neutral]] interval ''k'' in cents, the supermajor version in this sense is found at around {{nowrap|''k'' + 78}}, and the subminor version is found at around {{nowrap|''k'' − 84}}.

* '''Sensamajor''' and '''sensaminor''', for thirds, refer to the ranges between about 438–446 and 256–264 cents, respectively. These are more extreme than the septimal ranges. Sensamajor seconds, under this ~~definiiton~~, range from about 234 to 242{{c}}, containing the 5edo second of 240{{c}}. For a given [[neutral]] interval ''k'' in cents, the sensamajor version is found at around {{nowrap|''k'' + 90}}, and the sensaminor version is found at around {{nowrap|''k'' − 90}}.

* '''Sensamajor''' and '''sensaminor''', for thirds, refer to the ranges between about 438–446 and 256–264 cents, respectively. These are more extreme than the septimal ranges. Sensamajor seconds, under this definition, range from about 234 to 242{{c}}, containing the 5edo second of 240{{c}}. For a given [[neutral]] interval ''k'' in cents, the sensamajor version is found at around {{nowrap|''k'' + 90}}, and the sensaminor version is found at around {{nowrap|''k'' − 90}}.

[[Category:Interval naming]]

@@ Line 16: / Line 16: @@
 Supermajor and subminor intervals are found in diatonic scales where the fifth is tuned significantly sharper than just—depending on the desired interval category, between 709 and 715{{c}}. For a given [[neutral]] interval ''k'' in cents, the supermajor quality ranges from around {{nowrap|''k'' + 78}} to {{nowrap|''k'' + 95}}, and the subminor quality ranges from around {{nowrap|''k'' − 95}} to {{nowrap|''k'' − 78}}.
-Supermajor and subminor intervals are associated with [[Ploidacot/Tricot|tricot]] systems.
+Supermajor and subminor intervals are associated with [[Ploidacot/Tricot|tricot]] systems, as one generator represents a supermajor second, and four stacked downward represent a subminor third.
 Optionally, the category of supermajor or subminor may be split into two smaller categories. Tuning ranges have been provided in terms of thirds:
 * Supermajor and subminor, for thirds, may more precisely refer to the ranges between about 429–438 and 264–273, respectively. These are the ranges more closely focused around septimal intervals. Supermajor seconds, under this definition, range from about 225 to 234{{c}}. For a given [[neutral]] interval ''k'' in cents, the supermajor version in this sense is found at around {{nowrap|''k'' + 78}}, and the subminor version is found at around {{nowrap|''k'' − 84}}.
-* '''Sensamajor''' and '''sensaminor''', for thirds, refer to the ranges between about 438–446 and 256–264 cents, respectively. These are more extreme than the septimal ranges. Sensamajor seconds, under this definiiton, range from about 234 to 242{{c}}, containing the 5edo second of 240{{c}}. For a given [[neutral]] interval ''k'' in cents, the sensamajor version is found at around {{nowrap|''k'' + 90}}, and the sensaminor version is found at around {{nowrap|''k'' − 90}}.
+* '''Sensamajor''' and '''sensaminor''', for thirds, refer to the ranges between about 438–446 and 256–264 cents, respectively. These are more extreme than the septimal ranges. Sensamajor seconds, under this definition, range from about 234 to 242{{c}}, containing the 5edo second of 240{{c}}. For a given [[neutral]] interval ''k'' in cents, the sensamajor version is found at around {{nowrap|''k'' + 90}}, and the sensaminor version is found at around {{nowrap|''k'' − 90}}.
 {{Navbox intervals}}
 [[Category:Interval naming]]