Neogothic major and minor: Difference between revisions

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* [[30/17]] (983{{c}}), neogothic minor seventh

Neogothic intervals are found in diatonic scales where the fifth is tuned sharp of just, but flatter than [[superpyth]] tunings~~. Examples are~~ [[29edo]] and [[~~17edo~~]]. The term is usually applied to [[third]]s (and by extension [[sixth]]s), but can be generalized to apply to any interval category. For a given [[neutral]] interval ''k'' in cents, the neogothic major quality ranges from around k+60 to k+78, and the neogothic minor quality ranges from around {{nowrap|''k'' − 78}} to {{nowrap|''k'' − 60}}.

Neogothic intervals are found in diatonic scales where the fifth is tuned sharp of just, but flatter than [[superpyth]] tunings (about 705 cents), with the most common tunings being [[17edo]], [[29edo]], and [[46edo]]. The term is usually applied to [[third]]s (and by extension [[sixth]]s), but can be generalized to apply to any interval category. For a given [[neutral]] interval ''k'' in cents, the neogothic major quality ranges from around {{nowrap|''k'' + 60}} to {{nowrap|''k'' + 78}}, and the neogothic minor quality ranges from around {{nowrap|''k'' − 78}} to {{nowrap|''k'' − 60}}.

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

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 * [[30/17]] (983{{c}}), neogothic minor seventh
-Neogothic intervals are found in diatonic scales where the fifth is tuned sharp of just, but flatter than [[superpyth]] tunings. Examples are [[29edo]] and [[17edo]]. The term is usually applied to [[third]]s (and by extension [[sixth]]s), but can be generalized to apply to any interval category. For a given [[neutral]] interval ''k'' in cents, the neogothic major quality ranges from around k+60 to k+78, and the neogothic minor quality ranges from around {{nowrap|''k'' − 78}} to {{nowrap|''k'' − 60}}.
+Neogothic intervals are found in diatonic scales where the fifth is tuned sharp of just, but flatter than [[superpyth]] tunings (about 705 cents), with the most common tunings being [[17edo]], [[29edo]], and [[46edo]]. The term is usually applied to [[third]]s (and by extension [[sixth]]s), but can be generalized to apply to any interval category. For a given [[neutral]] interval ''k'' in cents, the neogothic major quality ranges from around {{nowrap|''k'' + 60}} to {{nowrap|''k'' + 78}}, and the neogothic minor quality ranges from around {{nowrap|''k'' − 78}} to {{nowrap|''k'' − 60}}.
 Optionally, the category of neogothic may be split into two smaller categories. Tuning ranges have been provided in terms of thirds: