Template:Diatonic interval category: Difference between revisions
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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 #####). | ||
Revision as of 21:48, 11 December 2025
(WIP) As a diatonic interval category, a major is an interval that spans {{{ordinal}}} scale steps in the diatonic scale with the major (wider) quality. It is generated by stacking 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 diatonic scale contains ##### #####
Hooray...!
(WIP) As a diatonic interval category, a perfect octave is an interval that spans 7 scale steps in the diatonic scale with the perfect quality. It is generated by stacking 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 diatonic scale contains ##### #####
Hooray...!
