Neogothic major and minor: Difference between revisions

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'''Neogothic major''' intervals are between pythagorean major intervals and [[supermajor]] intervals, and likewise, '''neogothic minor''' intervals are between pythagorean minor intervals and subminor intervals. For example, neogothic thirds may be found between roughly 273 and 291{{cent}}, and between 411 and 429{{cent}}. The terms '''farmajor''' and '''farminor'''{{idio}} can be used to encompass both neogothic and [[novamajor]]/minor intervals.

'''Neogothic major''' intervals are between pythagorean major intervals and [[supermajor]] intervals, and likewise, '''neogothic minor''' intervals are between pythagorean minor intervals and subminor intervals. For example, neogothic thirds may be found between roughly 273 and 291{{cent}}, and between 411 and 429{{cent}}. The terms '''farmajor''' and '''farminor'''{{idio}} can be used to encompass both neogothic and [[novamajor and novaminor|novamajor]]/minor intervals.

Common neogothic intervals can be found by taking the mediant of a major and supermajor, or minor and subminor, interval, and include:

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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 (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}}.

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]], [[46edo]], and [[75edo]]. 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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-'''Neogothic major''' intervals are between pythagorean major intervals and [[supermajor]] intervals, and likewise, '''neogothic minor''' intervals are between pythagorean minor intervals and subminor intervals. For example, neogothic thirds may be found between roughly 273 and 291{{cent}}, and between 411 and 429{{cent}}. The terms '''farmajor''' and '''farminor'''{{idio}} can be used to encompass both neogothic and [[novamajor]]/minor intervals.
+'''Neogothic major''' intervals are between pythagorean major intervals and [[supermajor]] intervals, and likewise, '''neogothic minor''' intervals are between pythagorean minor intervals and subminor intervals. For example, neogothic thirds may be found between roughly 273 and 291{{cent}}, and between 411 and 429{{cent}}. The terms '''farmajor''' and '''farminor'''{{idio}} can be used to encompass both neogothic and [[novamajor and novaminor|novamajor]]/minor intervals.
 Common neogothic intervals can be found by taking the mediant of a major and supermajor, or minor and subminor, interval, and include:
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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 (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}}.
+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]], [[46edo]], and [[75edo]]. 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: