5L 2s/Interval categories - Revision history

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2025-02-27T03:25:45Z

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	The diminished fifth appears as the fifth of a diminished chord.		The diminished fifth appears as the fifth of a diminished chord.

			[[Category:Diatonic]]

ArrowHead294 at 15:01, 24 February 2025

2025-02-24T15:01:06Z

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VectorGraphics at 20:51, 23 February 2025

2025-02-23T20:51:57Z

← Older revision		Revision as of 20:51, 23 February 2025
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	** In the 5-limit, this is [[25/18]], the classical augmented fourth of about 569 cents.		** In the 5-limit, this is [[25/18]], the classical augmented fourth of about 569 cents.
	** In the 3-limit, this is [[729/512]], the Pythagorean augmented fourth of about 612 cents.		** In the 3-limit, this is [[729/512]], the Pythagorean augmented fourth of about 612 cents.
	* In generalized diatonic systems, the augmented fourth is generated by stacking 6 ~~generators~~.		* In generalized diatonic systems, the augmented fourth is generated by stacking 6 fifths.

	The diminished fifth appears as the fifth of a diminished chord.		The diminished fifth appears as the fifth of a diminished chord.

VectorGraphics at 20:51, 23 February 2025

2025-02-23T20:51:36Z

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 == Unisons and octaves ==
-{{Infobox|Title=Perfect 0-mosstep|Header 1=MOS|Data 1=[[5L 2s]]|Header 2=Other names|Data 2=Perfect unison|Header 3=Generator span|Data 3=0 generators|Header 4=Basic tuning|Data 4=0c}}
+Unisons and octaves are the distances between one note and a note with the same letter name. For example, you can take an octave from D to D an octave up, or a chromatic semitone from D to D#.{{Infobox|Title=Perfect 0-mosstep|Header 1=MOS|Data 1=[[5L 2s]]|Header 2=Other names|Data 2=Perfect unison|Header 3=Generator span|Data 3=0 generators|Header 4=Basic tuning|Data 4=0c}}
 === Perfect unison and perfect octave ===
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 == Seconds and sevenths ==
 === Diatonic semitone and major seventh ===
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 ** The major second is generated the same way in diatonic systems, by stacking 2 fifths.
-The minor seventh is the octave complement of the major second, and appears as the fourth note in dominant 7th chords in Western harmony. Additionally, the '''harmonic seventh''' is the interval 7/4, which appears in the harmonic series alongside the ratios of the major chord, and can be played alongside them to form a JI chord of 4:5:6:7.
+The minor seventh is the octave complement of the major second, and appears as the fourth note in dominant 7th chords in Western harmony. Additionally, the '''harmonic seventh''' is the interval 7/4, the octave complement of the supermajor second 8/7, which appears in the harmonic series alongside the ratios of the major chord, and can be played alongside them to form a JI chord of 4:5:6:7.
 The major second and minor seventh are conventionally considered dissonances, however they are somewhat on the line between dissonance and imperfect consonance, and can be used as a consonance in context.
 == Thirds and sixths ==
 === Minor third and major sixth ===
 === Major third and minor sixth ===
 == Fourths and fifths ==
 === Perfect fourth and perfect fifth ===
 === Augmented fourth and diminished fifth ===

VectorGraphics at 20:23, 23 February 2025

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 {{Breadcrumb|5L 2s}}
-Interval categories for standard diatonic music
+The diatonic interval categories are used in most discussions of musical intervals, such as in diatonic music theory, the naming of just intervals, and the division of interval space into regions. This page provides an overview of diatonic intervals.
 == Unisons and octaves ==
 === Perfect unison and perfect octave ===
 === Chromatic semitone and diminished octave ===
 == Seconds and sevenths ==
 === Diatonic semitone and major seventh ===
 === Whole tone and minor seventh ===
 == Thirds and sixths ==

VectorGraphics at 19:47, 23 February 2025

2025-02-23T19:47:23Z

← Older revision		Revision as of 19:47, 23 February 2025
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			{{Breadcrumb\|5L 2s}}

	Interval categories for standard diatonic music		Interval categories for standard diatonic music

			== Unisons and octaves ==

			=== Perfect unison and perfect octave ===

			=== Chromatic semitone and diminished octave ===

			== Seconds and sevenths ==

			=== Diatonic semitone and major seventh ===

			=== Whole tone and minor seventh ===

			== Thirds and sixths ==

			=== Minor third and major sixth ===

			=== Major third and minor sixth ===

			== Fourths and fifths ==

			=== Perfect fourth and perfect fifth ===

			=== Augmented fourth and diminished fifth ===

VectorGraphics: Created page with "Interval categories for standard diatonic music"

2025-02-23T19:44:28Z

Created page with "Interval categories for standard diatonic music"

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Interval categories for standard diatonic music