Interseptimal interval: Difference between revisions

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* Maj6–min7 – intermediate between [[12/7]] and [[7/4]] – 940¢–960¢

Interseptimal intervals are well-represented in [[24edo]] at 250¢, 450¢, 750¢ and 950¢. They also appear in [[19edo]] and [[29edo]]. As they fall in ambiguous zones between ~~simpler~~ categories, they are inevitably xenharmonic.

Interseptimal intervals are well-represented in [[24edo]] at 250¢, 450¢, 750¢ and 950¢. They also appear in [[19edo]] and [[29edo]]. As they fall in ambiguous zones between both [[5L 2s|diatonic]] and [[chromatic]] categories, they are inevitably xenharmonic.

A JI-agnostic synonym is '''interordinal'''; here, ''ordinal'' refers to the [[interval class]]es of the diatonic scale the interordinal intervals lie between, conventionally denoted with ordinal numbers.

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See [[Neutral and interordinal k-mossteps]] for a partial generalization of interseptimal categories to other mosses.

== Categorical and ~~Notational Approaches~~ ==

== Categorical and notational approaches ==

While interseptimals are interesting for falling right in between the typical western interval categories, this also makes them difficult to name and notate: do we classify a 250-cent interval as a second, a third, both, or neither?

@@ Line 6: / Line 6: @@
 * Maj6–min7 – intermediate between [[12/7]] and [[7/4]] – 940¢–960¢
-Interseptimal intervals are well-represented in [[24edo]] at 250¢, 450¢, 750¢ and 950¢. They also appear in [[19edo]] and [[29edo]]. As they fall in ambiguous zones between simpler categories, they are inevitably xenharmonic.
+Interseptimal intervals are well-represented in [[24edo]] at 250¢, 450¢, 750¢ and 950¢. They also appear in [[19edo]] and [[29edo]]. As they fall in ambiguous zones between both [[5L 2s|diatonic]] and [[chromatic]] categories, they are inevitably xenharmonic.
 A JI-agnostic synonym is '''interordinal'''; here, ''ordinal'' refers to the [[interval class]]es of the diatonic scale the interordinal intervals lie between, conventionally denoted with ordinal numbers.
@@ Line 12: / Line 12: @@
 See [[Neutral and interordinal k-mossteps]] for a partial generalization of interseptimal categories to other mosses.
-== Categorical and Notational Approaches ==
+== Categorical and notational approaches ==
 While interseptimals are interesting for falling right in between the typical western interval categories, this also makes them difficult to name and notate: do we classify a 250-cent interval as a second, a third, both, or neither?