Neogothic major and minor: Difference between revisions

(2 intermediate revisions by 2 users not shown)

Line 1:

'''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''' 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:

Line 12:

* [[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:

* '''Neomajor''' and '''neominor,''' for thirds, range between about 411–421 and 281–291{{c}}, respectively. These can be considered "true" neogothic intervals, as the thirds are generated by fifths in the [[gentle region]], a core aspect of neogothic harmony. Neomajor seconds range from about 207-217 cents. For a given [[neutral]] interval ''k'' in cents, the neomajor version is found at around {{nowrap|''k'' + 65}}, and the neominor version is found at around {{nowrap|''k'' − 65}}.

* '''Gothmajor''' ~~(or "~~'''shrubmajor'''") and '''gothminor''', for thirds, range between about 421–429 and 273–281{{c}} respectively, and can be considered flat supermajor or sharp subminor intervals, think [[17edo]]. The thirds are generated by fifths in the inverse-gentle or shrub region (between about 706–708{{c}}). Gothmajor seconds are roughly 217–225{{c}}. For a given [[neutral]] interval ''k'' in cents, the goth/shrubmajor version is found at around {{nowrap|''k'' + 75}}, and the gothminor version is found at around {{nowrap|''k'' − 75}}.

* '''Gothmajor'''/'''shrubmajor''' and '''gothminor'''/'''shrubminor'''{{idio}}, for thirds, range between about 421–429 and 273–281{{c}} respectively, and can be considered flat supermajor or sharp subminor intervals, think [[17edo]]. The thirds are generated by fifths in the inverse-gentle or shrub region (between about 706–708{{c}}). Gothmajor seconds are roughly 217–225{{c}}. For a given [[neutral]] interval ''k'' in cents, the goth/shrubmajor version is found at around {{nowrap|''k'' + 75}}, and the gothminor version is found at around {{nowrap|''k'' − 75}}.

@@ Line 1: / Line 1: @@
-'''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''' 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:
@@ Line 12: / Line 12: @@
 * [[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:
 * '''Neomajor''' and '''neominor,''' for thirds, range between about 411–421 and 281–291{{c}}, respectively. These can be considered "true" neogothic intervals, as the thirds are generated by fifths in the [[gentle region]], a core aspect of neogothic harmony. Neomajor seconds range from about 207-217 cents. For a given [[neutral]] interval ''k'' in cents, the neomajor version is found at around {{nowrap|''k'' + 65}}, and the neominor version is found at around {{nowrap|''k'' − 65}}.
-* '''Gothmajor''' (or "'''shrubmajor'''") and '''gothminor''', for thirds, range between about 421–429 and 273–281{{c}} respectively, and can be considered flat supermajor or sharp subminor intervals, think [[17edo]]. The thirds are generated by fifths in the inverse-gentle or shrub region (between about 706–708{{c}}). Gothmajor seconds are roughly 217–225{{c}}. For a given [[neutral]] interval ''k'' in cents, the goth/shrubmajor version is found at around {{nowrap|''k'' + 75}}, and the gothminor version is found at around {{nowrap|''k'' − 75}}.
+* '''Gothmajor'''/'''shrubmajor''' and '''gothminor'''/'''shrubminor'''{{idio}}, for thirds, range between about 421–429 and 273–281{{c}} respectively, and can be considered flat supermajor or sharp subminor intervals, think [[17edo]]. The thirds are generated by fifths in the inverse-gentle or shrub region (between about 706–708{{c}}). Gothmajor seconds are roughly 217–225{{c}}. For a given [[neutral]] interval ''k'' in cents, the goth/shrubmajor version is found at around {{nowrap|''k'' + 75}}, and the gothminor version is found at around {{nowrap|''k'' − 75}}.
 {{Navbox intervals}}