2/1: Difference between revisions

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~~#REDIRECT~~ [[Octave]]

{{Interwiki

| en = 2/1

| de = Oktave

| es = Octava

| ja = オクターブ

| ro = Octavă

}}

{{Infobox Interval

| Ratio = 2/1

| Name = octave, ditave, duple, diapason

| Color name = w8, wa 8ve

| Sound = jid_2_1_pluck_adu_dr220.mp3

}}

{{Redirect|Octave|its use as an [[interval region]]|Octave (interval region)}}

The '''octave''' (abbreviation: '''8ve''', symbol: '''oct''', [[frequency ratio]]: '''2/1''') is one of the most basic [[Gallery of just intervals|intervals]] found in musical systems throughout the entire world. It has a frequency ratio of 2/1 and a size of 1200 [[cent]]s. It is used as the standard of [[interval size measure|logarithmic measurement]] for all intervals, regardless if they are justly tuned or not.

[[~~Category~~:~~Rational~~ intervals]]

It is the first [[prime harmonic]], with the next being [[3/1]].

== Octave equivalence ==

The octave is usually called the '''interval of equivalence''', because tones separated by this interval are perceived as having the same [[pitch class]] despite their different absolute pitches. This equivalence is so strong that in most musical notation systems, notes separated by octaves share the same name. For the same reason, most [[scale]]s repeat at the octave.

== Octave stretch ==

Some musical systems exhibit stretched (or compressed) octaves where the octave is tuned slightly different from a pure 2:1 ratio. This occurs in piano tuning (to compensate for inharmonicity in piano strings) and in some traditional music systems, such as the Indonesian [[Pelog]] and [[Slendro]] scales.

== Alternative names ==

'''Ditave''' is an alternative name for the interval 2/1, which was proposed to neutralize the terminology against the predominance of [[heptatonic]] scales. The name is a contraction of the numeral prefix ''δι''- (''di-'', Greek for "two") and ''octave'', in analogy to "[[tritave]]" (3/1).

'''Duple''' is a proposed term which relates itself to the ancient Greek concept of [[harmonic|multiples]]. It also fixes the problem of using part of the word ''octave''.

'''Diapason''' is another term also sometimes applied to 2/1. It is also of Greek origin, but not related to the number two; instead it is formed from ''διά'' (''dia'') + ''πασων'' (''pason''), meaning something like "through all the notes".

== See also ==

* [[Prime interval]]

* [[Gallery of just intervals]]

* [[EDO]]

* [[Octave reduction]]

* [[Octave complement]]

@@ Line 1: / Line 1: @@
-#REDIRECT [[Octave]]
+{{Interwiki
+| en = 2/1
+| de = Oktave
+| es = Octava
+| ja = オクターブ
+| ro = Octavă
+}}
+{{Infobox Interval
+| Ratio = 2/1
+| Name = octave, ditave, duple, diapason
+| Color name = w8, wa 8ve
+| Sound = jid_2_1_pluck_adu_dr220.mp3
+}}
+{{Wikipedia|Octave}}
+{{Redirect|Octave|its use as an [[interval region]]|Octave (interval region)}}
+The '''octave''' (abbreviation: '''8ve''', symbol: '''oct''', [[frequency ratio]]: '''2/1''') is one of the most basic [[Gallery of just intervals|intervals]] found in musical systems throughout the entire world. It has a frequency ratio of 2/1 and a size of 1200 [[cent]]s. It is used as the standard of [[interval size measure|logarithmic measurement]] for all intervals, regardless if they are justly tuned or not.
-[[Category:Rational intervals]]
+It is the first [[prime harmonic]], with the next being [[3/1]].
+== Octave equivalence ==
+{{Main|Interval of equivalence}}
+The octave is usually called the '''interval of equivalence''', because tones separated by this interval are perceived as having the same [[pitch class]] despite their different absolute pitches. This equivalence is so strong that in most musical notation systems, notes separated by octaves share the same name. For the same reason, most [[scale]]s repeat at the octave.
+== Octave stretch ==
+{{Main|Stretched and compressed tuning}}
+Some musical systems exhibit stretched (or compressed) octaves where the octave is tuned slightly different from a pure 2:1 ratio. This occurs in piano tuning (to compensate for inharmonicity in piano strings) and in some traditional music systems, such as the Indonesian [[Pelog]] and [[Slendro]] scales.
+== Alternative names ==
+'''Ditave''' is an alternative name for the interval 2/1, which was proposed to neutralize the terminology against the predominance of [[heptatonic]] scales. The name is a contraction of the numeral prefix ''δι''- (''di-'', Greek for "two") and ''octave'', in analogy to "[[tritave]]" (3/1).
+'''Duple''' is a proposed term which relates itself to the ancient Greek concept of [[harmonic|multiples]]. It also fixes the problem of using part of the word ''octave''.
+'''Diapason''' is another term also sometimes applied to 2/1. It is also of Greek origin, but not related to the number two; instead it is formed from ''διά'' (''dia'') + ''πασων'' (''pason''), meaning something like "through all the notes".
+== See also ==
+* [[Prime interval]]
+* [[Gallery of just intervals]]
+* [[EDO]]
+* [[Octave reduction]]
+* [[Octave complement]]