Difference between revisions of "Template:Intervals"

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{{Navbox
 
{{Navbox
 
|name = Intervals
 
|name = Intervals
|title = [[Interval (music)|Interval]]s ([[List of musical intervals|list]])
+
|title = [[Interval (music)|Interval]]s
|above = ''Numbers in brackets are the number of [[semitone]]s in the interval.<br />Fractional semitones are approximate.''
+
|state = {{{state<includeonly>|collapsed</includeonly>}}}
|group1 = {{line-height|1.2em|Twelve-semitone<br/>(Western)}}
+
|listclass = hlist
 +
|groupstyle = line-height:1.2em;
 +
 
 +
|group1 = [[Equal temperament|Twelve-<br/>semitone]]<br/>(post-Bach<Br/>Western)
 
|list1 =
 
|list1 =
  {{Navbox subgroup
+
{{Navbox|subgroup
   |groupstyle=width:8.0em;font-weight:normal; |liststyle=width:auto;
+
|groupstyle=font-weight:normal;
 +
|group1 = ''Numbers in brackets<br/>are the number of<br/>[[semitone]]s in the<br/>interval.''
 +
|list1 =
 +
  {{Navbox|subgroup
 +
   |groupstyle=font-weight:normal; | groupwidth=8em
 
   |group1 = Perfect
 
   |group1 = Perfect
   |list1 = [[unison]] (0){{·}} [[perfect fourth|fourth]] (5){{·}} [[perfect fifth|fifth]] (7){{·}} [[octave]] (12){{·}}[[fifteenth]] (24)
+
   |list1 =
   |group2 = Major
+
* [[unison]] (0)
   |list2 = [[major second|second]] (2){{·}} [[major third|third]] (4){{·}} [[major sixth|sixth]] (9){{·}} [[major seventh|seventh]] (11)
+
* [[perfect fourth|fourth]] (5)
   |group3 = Minor
+
* [[perfect fifth|fifth]] (7)
   |list3 = [[Semitone|second]] (1){{·}} [[minor third|third]] (3){{·}} [[minor sixth|sixth]] (8){{·}} [[minor seventh|seventh]] (10)
+
* [[octave]] (12)
   |group4 = Augmented
+
   |group2 = [[Major and minor#Intervals and chords|Major]]
   |list4 = [[Semitone|unison]] (1){{·}} [[Augmented second|second]] (3){{·}} [[Augmented third|third]] (5){{·}} [[Tritone|fourth]] (6){{·}} [[Augmented fifth|fifth]] (8){{·}} [[Augmented sixth|sixth]] (10){{·}} [[Augmented seventh|seventh]] (12){{·}} [[Augmented octave|octave]] (13)
+
   |list2 =
   |group5 = Diminished
+
* [[major second|second]] (2)
   |list5 = [[Diminished second|second]] (0){{·}} [[Diminished third|third]] (2){{·}} [[Diminished fourth|fourth]] (4){{·}} [[Tritone|fifth]] (6){{·}} [[Diminished sixth|sixth]] (7){{·}} [[Diminished seventh|seventh]] (9){{·}} [[Diminished octave|octave]] (11)
+
* [[major third|third]] (4)
   |group6 = Compound
+
* [[major sixth|sixth]] (9)
   |list6 = [[ninth]] (13 or 14){{·}} [[interval (music)|tenth]] (15 or 16){{·}} [[eleventh]] (17 or 18){{·}} [[thirteenth]] (20 or 21)
+
* [[major seventh|seventh]] (11)
 +
   |group3 = [[Major and minor#Intervals and chords|Minor]]
 +
   |list3 =
 +
* [[Minor second|second]] (1)
 +
* [[minor third|third]] (3)
 +
* [[minor sixth|sixth]] (8)
 +
* [[minor seventh|seventh]] (10)
 +
   |group4 = [[Augmentation (music)#Augmentation of intervals|Augmented]]
 +
   |list4 =
 +
* [[Augmented unison|unison]] (1)
 +
* [[Augmented second|second]] (3)
 +
* [[Augmented third|third]] (5)
 +
* [[Tritone|fourth]] (6)
 +
* [[Augmented fifth|fifth]] (8)
 +
* [[Augmented sixth|sixth]] (10)
 +
* [[Augmented seventh|seventh]] (12)
 +
   |group5 = [[Diminution#Diminution of intervals|Diminished]]
 +
   |list5 =
 +
* [[Diminished second|second]] (0)
 +
* [[Diminished third|third]] (2)
 +
* [[Diminished fourth|fourth]] (4)
 +
* [[Tritone|fifth]] (6)
 +
* [[Diminished sixth|sixth]] (7)
 +
* [[Diminished seventh|seventh]] (9)
 +
* [[Diminished octave|octave]] (11)
 +
   |group6 = [[Interval (music)#Simple and compound|Compound]]
 +
   |list6 =
 +
* [[ninth]] (13 or 14)
 +
* [[Third (chord)|tenth]] (15 or 16)
 +
* [[eleventh]] (17 or 18)
 +
* [[Fifth (chord)|twelfth]] (18 or 19)
 +
* [[thirteenth]] (20 or 21)
 +
* [[Seventh (chord)|fourteenth]] (22 or 23)
 +
* [[fifteenth]] (24)
 
  }}
 
  }}
 
+
}}
|group2 = Other systems
+
|group2 = Other<br/>tuning<br/>systems
 +
|list2 =
 +
{{Navbox|subgroup
 +
|groupstyle=font-weight:normal; | groupwidth=8em
 +
|group1 = '''[[24-tone equal temperament]]'''<br/>''(Numbers in brackets refer<br/>to fractional semitones.)''
 +
|list1 = {{Navbox|subgroup
 +
|groupstyle=font-weight:normal; | groupwidth=5em
 +
|group1 = <br/>[[Neutral interval|Neutral]]</br></br>
 +
|list1 =
 +
* [[quarter tone]] ({{frac|1|2}})
 +
* [[neutral interval|second]] ({{frac|1|1|2}})
 +
* [[neutral third|third]] ({{frac|3|1|2}})
 +
* [[major fourth and minor fifth|major fourth]] ({{frac|5|1|2}})
 +
* [[major fourth and minor fifth|minor fifth]] ({{frac|6|1|2}})
 +
* [[neutral sixth|sixth]] ({{frac|8|1|2}})
 +
* [[neutral interval|seventh]] ({{frac|10|1|2}})
 +
}}
 +
|group2 = '''[[Just intonation|Just intonations]]'''<br/>''(Numbers in brackets<br/>refer to pitch ratios.)''
 +
|list2 =
 +
{{Navbox|subgroup
 +
|groupstyle=font-weight:normal;
 +
|group1 = [[7-limit tuning|7-limit]]
 +
|list1 =
 +
* [[septimal quarter tone]] (36:35)
 +
* [[septimal third tone]] (28:27)
 +
* [[septimal chromatic semitone]] (21:20)
 +
* [[septimal diatonic semitone]] (15:14)
 +
* [[Septimal whole tone|supermajor second]] (8:7)
 +
* [[Septimal minor third|subminor third]] (7:6)
 +
* [[Septimal major third|supermajor third]] (9:7)
 +
* [[Harmonic seventh|subminor seventh]] (7:4)
 +
|group2 = [[Limit (music)|Higher-limit]]
 
|list2 =
 
|list2 =
{{Navbox subgroup
+
*[[minor diatonic semitone]] (17-limit)
  |groupstyle=width:8.0em;font-weight:normal; |liststyle=width:auto;
 
  |group1 = Supermajor
 
  |list1 = [[Supermajor interval|second]] (2⅓){{·}} [[Supermajor interval|third]] (4⅓){{·}} [[Supermajor sixth|sixth]] (9⅓){{·}} [[Supermajor interval|seventh]] (11⅓)
 
  |group2 = Neutral
 
  |list2 = [[neutral second|second]] (1½){{·}} [[neutral third|third]] (3½){{·}} [[neutral sixth|sixth]] (8½){{·}} [[neutral seventh|seventh]] (10½)
 
  |group3 = Subminor
 
  |list3 = [[subminor interval|second]] (⅔){{·}} [[Subminor interval|third]] (2⅔){{·}} [[Minor sixth#Subminor sixth|sixth]] (7⅔){{·}} [[Subminor interval|seventh]] (9⅔)
 
  |group4 = [[7-limit]]
 
  |list4 = [[Septimal chromatic semitone|chromatic semitone]] (⅔){{·}} [[Septimal diatonic semitone|diatonic semitone]] (1⅙){{·}}[[Septimal whole tone|whole tone]] (2⅓){{·}} [[Septimal minor third|subminor third]] (2⅔){{·}} [[Septimal major third|supermajor third]] (4⅓){{·}} [[Harmonic seventh|harmonic (subminor) seventh]] (9⅔)
 
 
  }}
 
  }}
 +
}}
  
|group3 = Other intervals
+
|group3 = Other<br/>intervals
 
|list3 =
 
|list3 =
  {{Navbox subgroup
+
  {{Navbox|subgroup
   |groupstyle=width:8.0em;font-weight:normal; |liststyle=width:auto;
+
   |groupstyle=font-weight:normal; | groupwidth=8em
  |evenodd = swap
+
   |group1 = '''Groups'''
   |group1 = Groups
+
   |list1 =
   |list1 = [[Microtonal music|Microtone]]{{·}} [[Comma (music)|Comma]]{{·}} [[Pseudo-octave]]{{·}} [[Pythagorean interval]]
+
* [[Microtonal music|Microtone]]
   |group2 = [[Comma (music)|Comma]]s
+
* [[List of intervals in 5-limit just intonation|5-limit]]
   |list2 = <div>
+
* [[Comma (music)|Comma]]
[[Pythagorean comma]]{{·}} [[Pythagorean apotome]]{{·}} [[Pythagorean limma]]{{·}} [[Diesis]]{{·}} [[Septimal diesis]]{{·}} [[Septimal comma]]{{·}} [[Syntonic comma]]{{·}} [[Schisma]]{{·}} [[Diaschisma]]{{·}} [[Major limma]]{{·}} [[Ragisma]]{{·}} [[Breedsma]]{{·}} [[Kleisma]]{{·}} [[Septimal kleisma]]{{·}} [[Septimal semicomma]]{{·}} [[Orwell comma]]{{·}} [[Semicomma]]{{·}} [[Septimal sixth-tone]]{{·}} [[Septimal quarter tone]]{{·}} [[Septimal third-tone]]
+
* [[Pseudo-octave]]
</div>
+
* [[Pythagorean interval]]
   |group3 = Measurement
+
* [[Subminor and supermajor]]
   |list3 = [[Cent (music)|Cent]]{{·}} [[Millioctave]]{{·}} [[Savart]]
+
   |group2 = '''''Semitones'''''
   |group4 = Others
+
   |list2 =
   |list4 = [[Quarter tone]]{{·}} [[Wolf interval|Wolf]]{{·}} [[Ditone]]{{·}} [[Semiditone]]{{·}} [[Holdrian comma]]{{·}} [[Secor (interval)|Secor]]
+
* [[Pythagorean limma]]
 +
* [[Pythagorean apotome]]
 +
* [[Major limma]]
 +
  |group3 = '''''Quarter tones'''''
 +
  |list3 =
 +
* [[Quarter tone]]
 +
* [[Septimal quarter tone]]
 +
* [[Undecimal quarter tone]]
 +
  |group4 = '''[[Comma (music)|Comma]]s'''
 +
  |list4 =
 +
* [[Pythagorean comma]] (23.5 cents)
 +
* [[Syntonic comma]] (21.5 cents)
 +
* [[Holdrian comma]] (22.6 cents)
 +
* [[Septimal comma]] (27.3 cents)
 +
 
 +
* [[Diesis]] (41.1 cents)
 +
* [[Septimal diesis]] (35.7 cents)
 +
 
 +
* [[Diaschisma]] (19.5 cents)
 +
* [[Semicomma]] (10.1 cents)
 +
* [[Orwell comma]] (13.1 cents)
 +
* [[Septimal semicomma]] (13.8 cents)
 +
* [[Kleisma]] (8.1 cents)
 +
* [[Septimal kleisma]] (7.7 cents)
 +
 
 +
* [[Schisma]] (1.95 cents)
 +
* [[Breedsma]] (0.72 cents)
 +
* [[Ragisma]] (0.4 cents)
 +
 
 +
   |group5 = '''Measurement'''
 +
   |list5 =
 +
* [[Cent (music)|Cent]]
 +
* [[Cent (music)#Centitone|Centitone]]
 +
* [[Millioctave]]
 +
* [[Savart]]
 +
   |group6 = '''Others'''
 +
   |list6 =
 +
* [[Wolf interval|Wolf]]
 +
* [[Ditone]]
 +
* [[Semiditone]]
 +
* [[George Secor#Secor|Secor]]
 +
* [[Incomposite interval]]
 
  }}
 
  }}
 +
 +
|below = {{icon|list}} [[List of pitch intervals]]
 +
 
}}<noinclude>
 
}}<noinclude>
 
{{documentation}}
 
{{documentation}}
 
</noinclude>
 
</noinclude>

Latest revision as of 10:10, 18 February 2020

Template documentation[view] [edit] [history] [purge]

Initial visibility: currently defaults to collapsed

To set this template's initial visibility, the |state= parameter may be used:

  • |state=collapsed: {{Intervals|state=collapsed}} to show the template collapsed, i.e., hidden apart from its title bar
  • |state=expanded: {{Intervals|state=expanded}} to show the template expanded, i.e., fully visible
  • |state=autocollapse: {{Intervals|state=autocollapse}}
    • shows the template collapsed to the title bar if there is a {{navbar}}, a {{sidebar}}, or some other table on the page with the collapsible attribute
    • shows the template in its expanded state if there are no other collapsible items on the page

If the |state= parameter in the template on this page is not set, the template's initial visibility is taken from the |default= parameter in the Collapsible option template. For the template on this page, that currently evaluates to collapsed.

See also