Template:Diatonic interval category - Revision history

Vector at 09:02, 16 December 2025

2025-12-16T09:02:22Z

← Older revision		Revision as of 09:02, 16 December 2025
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	~~(WIP)~~		{{#invoke:Diatonic interval category\|diatonic_interval_category\|{{{1\|4}}}\|{{{2\|0}}}}}
	As a diatonic interval category, a {{#ifeq: {{#expr: {{{ordinal}}} mod 7}}\|0\|perfect\|{{#ifeq: {{{quality}}}\|m\|{{#ifeq: {{{ordinal}}}\|3\|perfect\|{{#ifeq: {{{ordinal}}}\|4\|diminished\|minor}}}}\|{{#ifeq: {{{ordinal}}}\|3\|augmented\|{{#ifeq: {{{ordinal}}}\|4\|perfect\|major}}}}}}}} {{#ifeq: {{{ordinal}}}\|0\|unison\|}} {{#ifeq: {{{ordinal}}}\|1\|second\|}}{{#ifeq: {{{ordinal}}}\|2\|third\|}}{{#ifeq: {{{ordinal}}}\|3\|fourth\|}}{{#ifeq: {{{ordinal}}}\|4\|fifth\|}}{{#~~ifeq~~: ~~{{{ordinal}}}\|5\|sixth\|}}{{#ifeq: {{{ordinal}}}\|6\|seventh\|}}{{#ifeq: {{{ordinal}}}\|7\|octave\|}} is an~~ interval ~~that spans {{{ordinal}}} scale step{{#ifeq: {{{ordinal}}}\|1\|\|s}} in the [[diatonic]] scale with the {{#ifeq: {{#expr: {{{ordinal}}} mod 7}}\|0~~\|~~perfect~~\|~~{{#ifeq:~~ {{{quality}}}\|m\|{{#ifeq: {{{ordinal}}}\|3\|perfect (narrower)\|{{#ifeq: {{{ordinal}}}\|4\|diminished (narrower)\|minor (narrower)}}}}\|{{#ifeq: {{{ordinal}}}\|3\|augmented (wider)\|{{#ifeq: {{{ordinal}}}\|4\|perfect (wider)\|major (wider)}}}}}}}} quality. It is generated by stacking {{#ifeq: {{#expr: {{{ordinal}}} mod 7}}\|0\|no fifths\|{{
	~~#ifeq: {{{quality}}}\|M\|{{#ifeq: {{{ordinal}}}\|~~1~~\|two fifths\|}}{{#ifeq: {{{ordinal}}}\|2\|four fifths\|}}{{#ifeq: {{{ordinal}}}\|3\|six fifths\|}}{{#ifeq: {{{ordinal}}}~~\|4~~\|one fifth\|}}{{#ifeq: {{{ordinal~~}}}\|~~5\|three fifths\|}}~~{{~~#ifeq:~~ {~~{{ordinal}}}\|6\|five fifths\|}}{{#ifeq: {{{ordinal}}}\|7\|no fifths\|}}\|{{#ifeq: {{{ordinal}}}\|1\|five fourths\|}}{{#ifeq: {{{ordinal}}}\|~~2\|~~three fourths\|}}{{#ifeq: {{{ordinal}}}\|3\|one fourth\|}}{{#ifeq: {{{ordinal}}}\|4\|six fourths\|}}{{#ifeq: {{{ordinal}}}\|5\|four fourths\|}}{{#ifeq: {{{ordinal}}}\|6\|two fourths\|~~}}~~{{#ifeq: {{{ordinal~~}}}~~\|7\|no fifths\|}}}}}} octave reduced, and depending on the specific tuning, it ranges from ##### to ##### ¢ (##### to #####).~~

	The ~~#####~~ is ~~enharmonic with~~ the ~~#####~~, ~~ranging from ##### to ##### ¢~~. It is ~~generated by stacking #####~~ octave ~~reduced, and is as such not found in the diatonic scale~~.		<noinclude>
			<hr>
			The first parameter of the template is the fifthspan of the diatonic interval. Currently this only supports fifthspans within [-12, 12].
			The second parameter is whether the interval of 0 fifths should be interpreted as a unison or an octave.

	~~The diatonic scale contains ##### #####~~


	~~{{#ifeq: yes \| yes \| Hooray...! \| Darn...! }}~~

	~~<noinclude>{{Diatonic interval category\|ordinal=7\|quality=M}}~~</noinclude>
			</noinclude>

Vector at 21:48, 11 December 2025

2025-12-11T21:48:07Z

← Older revision		Revision as of 21:48, 11 December 2025
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	(WIP)		(WIP)
	As a diatonic interval category, a {{#ifeq: {{#expr: {{{ordinal}}} mod 7}}\|0\|perfect\|{{#ifeq: {{{quality}}}\|m\|{{#ifeq: {{{ordinal}}}\|3\|perfect\|{{#ifeq: {{{ordinal}}}\|4\|diminished\|minor}}}}\|{{#ifeq: {{{ordinal}}}\|3\|augmented\|{{#ifeq: {{{ordinal}}}\|4\|perfect\|major}}}}}}}} {{#ifeq: {{{ordinal}}}\|0\|unison\|}} {{#ifeq: {{{ordinal}}}\|1\|second\|}}{{#ifeq: {{{ordinal}}}\|2\|third\|}}{{#ifeq: {{{ordinal}}}\|3\|fourth\|}}{{#ifeq: {{{ordinal}}}\|4\|fifth\|}}{{#ifeq: {{{ordinal}}}\|5\|sixth\|}}{{#ifeq: {{{ordinal}}}\|6\|seventh\|}}{{#ifeq: {{{ordinal}}}\|7\|octave\|}} is an interval that spans {{{ordinal}}} scale step{{#ifeq: {{{ordinal}}}\|1\|\|s}} in the [[diatonic]] scale with the {{#ifeq: {{{ordinal}}}\|0\|perfect\|{{#ifeq: {{{quality}}}\|m\|{{#ifeq: {{{ordinal}}}\|3\|perfect (narrower)\|{{#ifeq: {{{ordinal}}}\|4\|diminished (narrower)\|minor (narrower)}}}}\|{{#ifeq: {{{ordinal}}}\|3\|augmented (wider)\|{{#ifeq: {{{ordinal}}}\|4\|perfect (wider)\|major (wider)}}}}}}}} quality. It is generated by stacking {{#ifeq: {{#expr: {{{ordinal}}} mod 7}}\|0\|no fifths\|{{		As a diatonic interval category, a {{#ifeq: {{#expr: {{{ordinal}}} mod 7}}\|0\|perfect\|{{#ifeq: {{{quality}}}\|m\|{{#ifeq: {{{ordinal}}}\|3\|perfect\|{{#ifeq: {{{ordinal}}}\|4\|diminished\|minor}}}}\|{{#ifeq: {{{ordinal}}}\|3\|augmented\|{{#ifeq: {{{ordinal}}}\|4\|perfect\|major}}}}}}}} {{#ifeq: {{{ordinal}}}\|0\|unison\|}} {{#ifeq: {{{ordinal}}}\|1\|second\|}}{{#ifeq: {{{ordinal}}}\|2\|third\|}}{{#ifeq: {{{ordinal}}}\|3\|fourth\|}}{{#ifeq: {{{ordinal}}}\|4\|fifth\|}}{{#ifeq: {{{ordinal}}}\|5\|sixth\|}}{{#ifeq: {{{ordinal}}}\|6\|seventh\|}}{{#ifeq: {{{ordinal}}}\|7\|octave\|}} is an interval that spans {{{ordinal}}} scale step{{#ifeq: {{{ordinal}}}\|1\|\|s}} in the [[diatonic]] scale with the {{#ifeq: {{#expr: {{{ordinal}}} mod 7}}\|0\|perfect\|{{#ifeq: {{{quality}}}\|m\|{{#ifeq: {{{ordinal}}}\|3\|perfect (narrower)\|{{#ifeq: {{{ordinal}}}\|4\|diminished (narrower)\|minor (narrower)}}}}\|{{#ifeq: {{{ordinal}}}\|3\|augmented (wider)\|{{#ifeq: {{{ordinal}}}\|4\|perfect (wider)\|major (wider)}}}}}}}} quality. It is generated by stacking {{#ifeq: {{#expr: {{{ordinal}}} mod 7}}\|0\|no fifths\|{{
	#ifeq: {{{quality}}}\|M\|{{#ifeq: {{{ordinal}}}\|1\|two fifths\|}}{{#ifeq: {{{ordinal}}}\|2\|four fifths\|}}{{#ifeq: {{{ordinal}}}\|3\|six fifths\|}}{{#ifeq: {{{ordinal}}}\|4\|one fifth\|}}{{#ifeq: {{{ordinal}}}\|5\|three fifths\|}}{{#ifeq: {{{ordinal}}}\|6\|five fifths\|}}{{#ifeq: {{{ordinal}}}\|7\|no fifths\|}}\|{{#ifeq: {{{ordinal}}}\|1\|five fourths\|}}{{#ifeq: {{{ordinal}}}\|2\|three fourths\|}}{{#ifeq: {{{ordinal}}}\|3\|one fourth\|}}{{#ifeq: {{{ordinal}}}\|4\|six fourths\|}}{{#ifeq: {{{ordinal}}}\|5\|four fourths\|}}{{#ifeq: {{{ordinal}}}\|6\|two fourths\|}}{{#ifeq: {{{ordinal}}}\|7\|no fifths\|}}}}}} octave reduced, and depending on the specific tuning, it ranges from ##### to ##### ¢ (##### to #####).		#ifeq: {{{quality}}}\|M\|{{#ifeq: {{{ordinal}}}\|1\|two fifths\|}}{{#ifeq: {{{ordinal}}}\|2\|four fifths\|}}{{#ifeq: {{{ordinal}}}\|3\|six fifths\|}}{{#ifeq: {{{ordinal}}}\|4\|one fifth\|}}{{#ifeq: {{{ordinal}}}\|5\|three fifths\|}}{{#ifeq: {{{ordinal}}}\|6\|five fifths\|}}{{#ifeq: {{{ordinal}}}\|7\|no fifths\|}}\|{{#ifeq: {{{ordinal}}}\|1\|five fourths\|}}{{#ifeq: {{{ordinal}}}\|2\|three fourths\|}}{{#ifeq: {{{ordinal}}}\|3\|one fourth\|}}{{#ifeq: {{{ordinal}}}\|4\|six fourths\|}}{{#ifeq: {{{ordinal}}}\|5\|four fourths\|}}{{#ifeq: {{{ordinal}}}\|6\|two fourths\|}}{{#ifeq: {{{ordinal}}}\|7\|no fifths\|}}}}}} octave reduced, and depending on the specific tuning, it ranges from ##### to ##### ¢ (##### to #####).

Vector at 21:47, 11 December 2025

2025-12-11T21:47:33Z

← Older revision		Revision as of 21:47, 11 December 2025
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	(WIP)		(WIP)
	As a diatonic interval category, a ##### ~~is an interval that spans~~ ##### ~~scale step~~##### in the [[diatonic]] scale with the ##### quality. It is generated by stacking ##### octave reduced, and depending on the specific tuning, it ranges from ##### to ##### ¢ (#####\7 to #####\5).		As a diatonic interval category, a {{#ifeq: {{#expr: {{{ordinal}}} mod 7}}\|0\|perfect\|{{#ifeq: {{{quality}}}\|m\|{{#ifeq: {{{ordinal}}}\|3\|perfect\|{{#ifeq: {{{ordinal}}}\|4\|diminished\|minor}}}}\|{{#ifeq: {{{ordinal}}}\|3\|augmented\|{{#ifeq: {{{ordinal}}}\|4\|perfect\|major}}}}}}}} {{#ifeq: {{{ordinal}}}\|0\|unison\|}} {{#ifeq: {{{ordinal}}}\|1\|second\|}}{{#ifeq: {{{ordinal}}}\|2\|third\|}}{{#ifeq: {{{ordinal}}}\|3\|fourth\|}}{{#ifeq: {{{ordinal}}}\|4\|fifth\|}}{{#ifeq: {{{ordinal}}}\|5\|sixth\|}}{{#ifeq: {{{ordinal}}}\|6\|seventh\|}}{{#ifeq: {{{ordinal}}}\|7\|octave\|}} is an interval that spans {{{ordinal}}} scale step{{#ifeq: {{{ordinal}}}\|1\|\|s}} in the [[diatonic]] scale with the {{#ifeq: {{{ordinal}}}\|0\|perfect\|{{#ifeq: {{{quality}}}\|m\|{{#ifeq: {{{ordinal}}}\|3\|perfect (narrower)\|{{#ifeq: {{{ordinal}}}\|4\|diminished (narrower)\|minor (narrower)}}}}\|{{#ifeq: {{{ordinal}}}\|3\|augmented (wider)\|{{#ifeq: {{{ordinal}}}\|4\|perfect (wider)\|major (wider)}}}}}}}} quality. It is generated by stacking {{#ifeq: {{#expr: {{{ordinal}}} mod 7}}\|0\|no fifths\|{{
			#ifeq: {{{quality}}}\|M\|{{#ifeq: {{{ordinal}}}\|1\|two fifths\|}}{{#ifeq: {{{ordinal}}}\|2\|four fifths\|}}{{#ifeq: {{{ordinal}}}\|3\|six fifths\|}}{{#ifeq: {{{ordinal}}}\|4\|one fifth\|}}{{#ifeq: {{{ordinal}}}\|5\|three fifths\|}}{{#ifeq: {{{ordinal}}}\|6\|five fifths\|}}{{#ifeq: {{{ordinal}}}\|7\|no fifths\|}}\|{{#ifeq: {{{ordinal}}}\|1\|five fourths\|}}{{#ifeq: {{{ordinal}}}\|2\|three fourths\|}}{{#ifeq: {{{ordinal}}}\|3\|one fourth\|}}{{#ifeq: {{{ordinal}}}\|4\|six fourths\|}}{{#ifeq: {{{ordinal}}}\|5\|four fourths\|}}{{#ifeq: {{{ordinal}}}\|6\|two fourths\|}}{{#ifeq: {{{ordinal}}}\|7\|no fifths\|}}}}}} octave reduced, and depending on the specific tuning, it ranges from ##### to ##### ¢ (##### to #####).

	The ##### is enharmonic with the #####, ranging from ##### to ##### ¢. It is generated by stacking ##### octave reduced, and is as such not found in the diatonic scale.		The ##### is enharmonic with the #####, ranging from ##### to ##### ¢. It is generated by stacking ##### octave reduced, and is as such not found in the diatonic scale.
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	{{#ifeq: yes \| yes \| Hooray...! \| Darn...! }}		{{#ifeq: yes \| yes \| Hooray...! \| Darn...! }}

			<noinclude>{{Diatonic interval category\|ordinal=7\|quality=M}}</noinclude>

Vector at 04:30, 11 December 2025

2025-12-11T04:30:55Z

← Older revision		Revision as of 04:30, 11 December 2025
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	(WIP)		(WIP)
	As a diatonic interval category, a {{#~~ifeq: {{{ordinal}}} \| 0 \| unison \|}} {{~~#~~ifeq: {{{ordinal}}} \| 1 \| second \|}}~~ is an interval that spans		As a diatonic interval category, a ##### is an interval that spans ##### scale step##### in the [[diatonic]] scale with the ##### quality. It is generated by stacking ##### octave reduced, and depending on the specific tuning, it ranges from ##### to ##### ¢ (#####\7 to #####\5).

			The ##### is enharmonic with the #####, ranging from ##### to ##### ¢. It is generated by stacking ##### octave reduced, and is as such not found in the diatonic scale.

			The diatonic scale contains ##### #####


	{{#ifeq: yes \| yes \| Hooray...! \| Darn...! }}		{{#ifeq: yes \| yes \| Hooray...! \| Darn...! }}

Vector at 04:24, 11 December 2025

2025-12-11T04:24:37Z

← Older revision		Revision as of 04:24, 11 December 2025
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			(WIP)
	As a diatonic interval category, a {{#ifeq: {{{ordinal}}} \| 0 \| unison \|}} {{#ifeq: {{{ordinal}}} \| 1 \| second \|}} is an interval that spans		As a diatonic interval category, a {{#ifeq: {{{ordinal}}} \| 0 \| unison \|}} {{#ifeq: {{{ordinal}}} \| 1 \| second \|}} is an interval that spans


	{{#ifeq: yes \| yes \| Hooray...! \| Darn...! }}		{{#ifeq: yes \| yes \| Hooray...! \| Darn...! }}

Vector: Created page with "As a diatonic interval category, a {{#ifeq: {{{ordinal}}} | 0 | unison |}} {{#ifeq: {{{ordinal}}} | 1 | second |}} is an interval that spans {{#ifeq: yes | yes | Hooray...! | Darn...! }}"

2025-12-11T04:23:53Z

Created page with "As a diatonic interval category, a {{#ifeq: {{{ordinal}}} | 0 | unison |}} {{#ifeq: {{{ordinal}}} | 1 | second |}} is an interval that spans {{#ifeq: yes | yes | Hooray...! | Darn...! }}"

New page

As a diatonic interval category, a {{#ifeq: {{{ordinal}}} | 0 | unison |}} {{#ifeq: {{{ordinal}}} | 1 | second |}} is an interval that spans

{{#ifeq: yes | yes | Hooray...! | Darn...! }}