Extended-diatonic interval names: Difference between revisions

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Besides the octave, which is treated as an interval of equivalence in almost all musics globally, the perfect fifth and perfect fourth are strongest consonances. Reasonable approximations to those intervals that can be found by dividing the octave equally into 5 notes, or into 7 notes, and excellent approximations can be found by dividing the octave equally into 12 notes (corresponding to the system of 12-tone ~~equal temperament~~ that sees persistent global use today). Given this, along with the limited capacity of human short-term memory, ''pentatonic'' and ''heptatonic'' (5-note and 7-note) scales are extremely common, from antiquity, to, again, almost all musics globally. The heptatonic scale in which the most number of perfect fifths and fourths is called the ''diatonic scale'', and of all pentatonic or heptatonic scales has seen more application as a basis for music notation and interval names. This article details the development of Western diatonic-based interval names. Where today a small number of competing diatonic-based interval naming schemes exist for the description of microtonal music (music that is not tuned to 12-tone Equal Temperament (12-tET), a critical review of current proposed schemes is also undertaken.

Besides the [[octave]], which is treated as an interval of equivalence in almost all musics globally, the [[perfect fifth]] and [[perfect fourth]] are strongest consonances. Reasonable approximations to those intervals that can be found by dividing the octave equally into 5 notes, or into 7 notes, and excellent approximations can be found by dividing the octave equally into 12 notes (corresponding to the system of [[12edo|12-tone Equal Temperament]] that sees persistent global use today). Given this, along with the limited capacity of human short-term memory, ''pentatonic'' and ''heptatonic'' (5-note and 7-note) scales are extremely common, from antiquity, to, again, almost all musics globally. The heptatonic scale in which the most number of perfect fifths and fourths is called the ''diatonic scale'', and of all pentatonic or heptatonic scales has seen more application as a basis for music notation and interval names. This article details the development of Western diatonic-based interval names. Where today a small number of competing diatonic-based interval naming schemes exist for the description of microtonal music (music that is not tuned to 12-tone Equal Temperament (12-tET), a critical review of current proposed schemes is also undertaken.

==The origin of diatonic interval names==

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Intervals in Ancient Greek music were written either as string length ratios, after Pythagoras, or as positions in a [[tetrachord]].

[[2/1]], the [[octave~~]],~~ was named ''diapason'' meaning ''<nowiki/>'''through all [strings]'

[[2/1]], the octave was named ''diapason'' meaning ''<nowiki/>'''through all [strings]'

~~[[3/2]], the [[perfect fifth]] was labelled~~ ''~~diapente,'' meaning~~ '~~through 5 [strings]~~'

''<nowiki/>''

[[4/3]], the [[perfect fourth]], was labelled ''diatessaron'', meaning 'through 4 [strings]'

[[3/2]], the perfect fifth was labelled ''diapente,'' meaning 'through 5 [strings]'

[[4/3]], the perfect fourth, was labelled ''diatessaron'', meaning 'through 4 [strings]'

''dieses,'' 'sending through', refers to any interval smaller than about 1/3 of a perfect fourth

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-Besides the octave, which is treated as an interval of equivalence in almost all musics globally, the perfect fifth and perfect fourth are strongest consonances. Reasonable approximations to those intervals that can be found by dividing the octave equally into 5 notes, or into 7 notes, and excellent approximations can be found by dividing the octave equally into 12 notes (corresponding to the system of 12-tone equal temperament that sees persistent global use today). Given this, along with the limited capacity of human short-term memory, ''pentatonic'' and ''heptatonic'' (5-note and 7-note) scales are extremely common, from antiquity, to, again, almost all musics globally. The heptatonic scale in which the most number of perfect fifths and fourths is called the ''diatonic scale'', and of all pentatonic or heptatonic scales has seen more application as a basis for music notation and interval names. This article details the development of Western diatonic-based interval names. Where today a small number of competing diatonic-based interval naming schemes exist for the description of microtonal music (music that is not tuned to 12-tone Equal Temperament (12-tET), a critical review of current proposed schemes is also undertaken.
+Besides the [[octave]], which is treated as an interval of equivalence in almost all musics globally, the [[perfect fifth]] and [[perfect fourth]] are strongest consonances. Reasonable approximations to those intervals that can be found by dividing the octave equally into 5 notes, or into 7 notes, and excellent approximations can be found by dividing the octave equally into 12 notes (corresponding to the system of [[12edo|12-tone Equal Temperament]] that sees persistent global use today). Given this, along with the limited capacity of human short-term memory, ''pentatonic'' and ''heptatonic'' (5-note and 7-note) scales are extremely common, from antiquity, to, again, almost all musics globally. The heptatonic scale in which the most number of perfect fifths and fourths is called the ''diatonic scale'', and of all pentatonic or heptatonic scales has seen more application as a basis for music notation and interval names. This article details the development of Western diatonic-based interval names. Where today a small number of competing diatonic-based interval naming schemes exist for the description of microtonal music (music that is not tuned to 12-tone Equal Temperament (12-tET), a critical review of current proposed schemes is also undertaken.
 ==The origin of diatonic interval names==
@@ Line 10: / Line 10: @@
 Intervals in Ancient Greek music were written either as string length ratios, after Pythagoras, or as positions in a [[tetrachord]].
-[[2/1]], the [[octave]], was named ''diapason'' meaning ''<nowiki/>'''through all [strings]'
+[[2/1]], the octave was named ''diapason'' meaning ''<nowiki/>'''through all [strings]'
-[[3/2]], the [[perfect fifth]] was labelled ''diapente,'' meaning 'through 5 [strings]'
+''<nowiki/>''
-[[4/3]], the [[perfect fourth]], was labelled ''diatessaron'', meaning 'through 4 [strings]'
+[[3/2]], the perfect fifth was labelled ''diapente,'' meaning 'through 5 [strings]'
+[[4/3]], the perfect fourth, was labelled ''diatessaron'', meaning 'through 4 [strings]'
 ''dieses,'' 'sending through', refers to any interval smaller than about 1/3 of a perfect fourth