Neogothic major and minor - Revision history

Contribution at 15:50, 28 March 2026

2026-03-28T15:50:03Z

← Older revision		Revision as of 15:50, 28 March 2026
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	* [[30/17]] (983{{c}}), neogothic minor seventh		* [[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:		Optionally, the category of neogothic may be split into two smaller categories. Tuning ranges have been provided in terms of thirds:

Overthink: fix link

2026-02-05T04:38:53Z

fix link

← Older revision		Revision as of 04:38, 5 February 2026
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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:		Common neogothic intervals can be found by taking the mediant of a major and supermajor, or minor and subminor, interval, and include:

FloraC: Mark some terms as idiosyncratic. + the missing "shrubminor"

2026-01-08T11:18:39Z

Mark some terms as idiosyncratic. + the missing "shrubminor"

← Older revision		Revision as of 11:18, 8 January 2026
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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''' 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]]/minor intervals.

	Common neogothic intervals can be found by taking the mediant of a major and supermajor, or minor and subminor, interval, and include:		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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	* '''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}}.		* '''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}}		{{Navbox intervals}}

Lériendil at 02:28, 6 September 2025

2025-09-06T02:28:35Z

← Older revision		Revision as of 02:28, 6 September 2025
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	'''Neogothic major''' intervals are between ~~regular~~ major intervals and supermajor intervals, and likewise, '''neogothic minor''' intervals are between ~~regular~~ minor intervals and subminor intervals. For example, neogothic thirds may be found between roughly 273 and 291{{cent}}, and between 411 and 429{{cent}}. Common neogothic intervals can be found by taking the mediant of a major and supermajor, or minor and subminor, interval, and include:		'''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.

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

	* [[17/15]] (217{{c}}), neogothic major second		* [[17/15]] (217{{c}}), neogothic major second

VectorGraphics at 22:18, 15 July 2025

2025-07-15T22:18:45Z

← Older revision		Revision as of 22:18, 15 July 2025
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	* [[30/17]] (983{{c}}), neogothic minor seventh		* [[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, 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]], 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:		Optionally, the category of neogothic may be split into two smaller categories. Tuning ranges have been provided in terms of thirds:

ArrowHead294 at 13:43, 4 June 2025

2025-06-04T13:43:43Z

← Older revision		Revision as of 13:43, 4 June 2025
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	* [[30/17]] (983{{c}}), neogothic minor seventh		* [[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, 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:		Optionally, the category of neogothic may be split into two smaller categories. Tuning ranges have been provided in terms of thirds:

ArrowHead294 at 13:42, 4 June 2025

2025-06-04T13:42:48Z

← Older revision		Revision as of 13:42, 4 June 2025
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	'''Neogothic major''' intervals are between regular major intervals and supermajor intervals, and likewise, '''neogothic minor''' intervals are between regular minor intervals and subminor intervals. For example, neogothic thirds may be found between roughly 273 and 291 ~~cents~~, and between 411 and 429 ~~cents~~. Common neogothic intervals can be found by taking the mediant of a major and supermajor, or minor and subminor, interval, and include:		'''Neogothic major''' intervals are between regular major intervals and supermajor intervals, and likewise, '''neogothic minor''' intervals are between regular minor intervals and subminor intervals. For example, neogothic thirds may be found between roughly 273 and 291{{cent}}, and between 411 and 429{{cent}}. Common neogothic intervals can be found by taking the mediant of a major and supermajor, or minor and subminor, interval, and include:

	* [[17/15]] (~~217c~~), neogothic major second		* [[17/15]] (217{{c}}), neogothic major second
	* [[13/11]] (~~289c~~), neogothic minor third		* [[13/11]] (289{{c}}), neogothic minor third
	* [[14/11]] (~~418c~~), neogothic major third		* [[14/11]] (418{{c}}), neogothic major third
	* [[25/19]] (~~475c~~), neogothic subfourth		* [[25/19]] (475{{c}}), neogothic subfourth
	* [[38/25]] (~~725c~~), neogothic superfifth		* [[38/25]] (725{{c}}), neogothic superfifth
	* [[11/7]] (~~782c~~), neogothic minor sixth		* [[11/7]] (782{{c}}), neogothic minor sixth
	* [[22/13]] (~~911c~~), neogothic major sixth		* [[22/13]] (911{{c}}), neogothic major sixth
	* [[30/17]] (~~983c~~), neogothic minor seventh		* [[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\|thirds~~]] (and by extension [[~~Sixth\|sixths~~]]), 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 k-78 to k-60.		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}}.

	Optionally, the category of neogothic may be split into two smaller categories. Tuning ranges have been provided in terms of thirds:		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 cents~~, 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 k+65, and the neominor version is found at around k-65.		* '''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 cents~~ 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 to 708 cents~~). Gothmajor seconds are roughly ~~217-225 cents~~. For a given [[neutral]] interval ''k'' in cents, the goth/shrubmajor version is found at around k+75, and the gothminor version is found at around k-75.		* '''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}}.

	{{Navbox intervals}}		{{Navbox intervals}}

VectorGraphics at 21:15, 2 June 2025

2025-06-02T21:15:24Z

← Older revision		Revision as of 21:15, 2 June 2025
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	* '''Gothmajor''' (or "'''shrubmajor'''") and '''gothminor''', for thirds, range between about 421-429 and 273-281 cents 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 to 708 cents). Gothmajor seconds are roughly 217-225 cents. For a given [[neutral]] interval ''k'' in cents, the goth/shrubmajor version is found at around k+75, and the gothminor version is found at around k-75.		* '''Gothmajor''' (or "'''shrubmajor'''") and '''gothminor''', for thirds, range between about 421-429 and 273-281 cents 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 to 708 cents). Gothmajor seconds are roughly 217-225 cents. For a given [[neutral]] interval ''k'' in cents, the goth/shrubmajor version is found at around k+75, and the gothminor version is found at around k-75.

	~~== See also ==~~		{{Navbox intervals}}

	* [[Neutral (interval quality)]] - halfway between major and minor
	* [[Submajor and supraminor]] - roughly 10 to 24 cents sharp or flat of neutral
	* [[Pental major and minor]] - roughly 24 to 43 cents sharp or flat of neutral
	* [[Novamajor and novaminor]] - roughly 43 to 60 cents sharp or flat of neutral
	* [[Supermajor and subminor]] - roughly 78 to 95 cents sharp or flat of neutral
	* [[Ultramajor and inframinor]] - more extreme than 95 cents sharp or flat of neutral

VectorGraphics at 20:14, 2 June 2025

2025-06-02T20:14:14Z

← Older revision		Revision as of 20:14, 2 June 2025
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	* [[Neutral (interval quality)]] - halfway between major and minor		* [[Neutral (interval quality)]] - halfway between major and minor
	* [[Submajor and supraminor]] - roughly 15 to 24 cents sharp or flat of neutral		* [[Submajor and supraminor]] - roughly 10 to 24 cents sharp or flat of neutral
	* [[Pental major and minor]] - roughly 24 to 43 cents sharp or flat of neutral		* [[Pental major and minor]] - roughly 24 to 43 cents sharp or flat of neutral
	* [[Novamajor and novaminor]] - roughly 43 to 60 cents sharp or flat of neutral		* [[Novamajor and novaminor]] - roughly 43 to 60 cents sharp or flat of neutral
	* [[Supermajor and subminor]] - roughly 78 to 95 cents sharp or flat of neutral		* [[Supermajor and subminor]] - roughly 78 to 95 cents sharp or flat of neutral
	* [[Ultramajor and inframinor]] - more extreme than 95 cents sharp or flat of neutral		* [[Ultramajor and inframinor]] - more extreme than 95 cents sharp or flat of neutral

VectorGraphics at 01:30, 2 June 2025

2025-06-02T01:30:04Z

← Older revision		Revision as of 01:30, 2 June 2025
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	'''Neogothic major''' intervals are between regular major intervals and supermajor intervals, and likewise, '''neogothic minor''' intervals are between regular minor intervals and subminor intervals. For example, neogothic thirds may be found between roughly ~~271~~ and 291 cents, and between 411 and ~~431~~ cents. Common neogothic intervals can be found by taking the mediant of a major and supermajor, or minor and subminor, interval, and include:		'''Neogothic major''' intervals are between regular major intervals and supermajor intervals, and likewise, '''neogothic minor''' intervals are between regular minor intervals and subminor intervals. For example, neogothic thirds may be found between roughly 273 and 291 cents, and between 411 and 429 cents. Common neogothic intervals can be found by taking the mediant of a major and supermajor, or minor and subminor, interval, and include:

	* [[17/15]] (217c), neogothic major second		* [[17/15]] (217c), neogothic major second
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	* [[30/17]] (983c), neogothic minor seventh		* [[30/17]] (983c), 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\|thirds]] (and by extension [[Sixth\|sixths]]), 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+80, and the neogothic minor quality ranges from around k-80 to k-60.		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\|thirds]] (and by extension [[Sixth\|sixths]]), 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 k-78 to k-60.

	Optionally, the category of neogothic may be split into two smaller categories. Tuning ranges have been provided in terms of thirds:		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 cents, 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 k+65, and the neominor version is found at around k-65.		* '''Neomajor''' and '''neominor,''' for thirds, range between about 411-421 and 281-291 cents, 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 k+65, and the neominor version is found at around k-65.
	* '''Gothmajor''' (or "'''shrubmajor'''") and '''gothminor''', for thirds, range between about 421-~~431~~ and ~~271~~-281 cents 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 to 708 cents). Gothmajor seconds are roughly 217-~~227~~ cents. For a given [[neutral]] interval ''k'' in cents, the goth/shrubmajor version is found at around k+75, and the gothminor version is found at around k-75.		* '''Gothmajor''' (or "'''shrubmajor'''") and '''gothminor''', for thirds, range between about 421-429 and 273-281 cents 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 to 708 cents). Gothmajor seconds are roughly 217-225 cents. For a given [[neutral]] interval ''k'' in cents, the goth/shrubmajor version is found at around k+75, and the gothminor version is found at around k-75.

	== See also ==		== See also ==
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	* [[Pental major and minor]] - roughly 24 to 43 cents sharp or flat of neutral		* [[Pental major and minor]] - roughly 24 to 43 cents sharp or flat of neutral
	* [[Novamajor and novaminor]] - roughly 43 to 60 cents sharp or flat of neutral		* [[Novamajor and novaminor]] - roughly 43 to 60 cents sharp or flat of neutral
	* [[Supermajor and subminor]] - roughly 80 to 95 cents sharp or flat of neutral		* [[Supermajor and subminor]] - roughly 78 to 95 cents sharp or flat of neutral
	* [[Ultramajor and inframinor]] - more extreme than 95 cents sharp or flat of neutral		* [[Ultramajor and inframinor]] - more extreme than 95 cents sharp or flat of neutral