Fifth complement: Difference between revisions
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Analogous to the [[octave complement]], the '''fifth complement''' of a given fifth-reduced [[interval]] is its interval distance from the [[3/2|perfect fifth (3/2)]]. It seems to be very useful as a way of conceptualizing and constructing more traditional-sounding [[triad]]s, and even as a way of describing the relationships between different [[:Category:third|third]]s. | |||
== History == | == History == | ||
The idea that the major third and the minor third complement or contrast each other may date well back to the {{w|Classical period (music)|Classical period}}, when triads in the form of root–third–fifth dominated the construction of chords. The term was seemingly coined by [[Flora Canou]] in September 2020<ref>[https://en.xen.wiki/index.php?title=25/21&diff=next&oldid=515 Xenharmonic Wiki | 25/21 (Revision as of 04:50, 1 September 2020 by FloraC)] – the earliest verified occurrence of the term.</ref>. | |||
The | |||
== Examples == | == Examples == | ||
The following interval pairs are ''fifth complementary'' to each other | The following interval pairs are ''fifth complementary'' to each other | ||
* [[5/4]] and [[6/5]] | * [[5/4]] and [[6/5]] | ||
* [[19/16]] and [[24/19]] | * [[19/16]] and [[24/19]] | ||
| Line 14: | Line 11: | ||
== See also == | == See also == | ||
* [[Octave complement]] | * [[Octave complement]] | ||
* [[Twelfth complement]] | |||
* [[Fourth complement]] | * [[Fourth complement]] | ||
== Footnotes == | == Footnotes == | ||
<references/> | <references/> | ||
[[Category:Terms]] | [[Category:Terms]] | ||
[[Category:Interval]] | [[Category:Interval]] | ||
[[Category:Fifth]] | [[Category:Fifth]] | ||
Latest revision as of 10:18, 17 August 2025
Analogous to the octave complement, the fifth complement of a given fifth-reduced interval is its interval distance from the perfect fifth (3/2). It seems to be very useful as a way of conceptualizing and constructing more traditional-sounding triads, and even as a way of describing the relationships between different thirds.
History
The idea that the major third and the minor third complement or contrast each other may date well back to the Classical period, when triads in the form of root–third–fifth dominated the construction of chords. The term was seemingly coined by Flora Canou in September 2020[1].
Examples
The following interval pairs are fifth complementary to each other
See also
Footnotes
- ↑ Xenharmonic Wiki | 25/21 (Revision as of 04:50, 1 September 2020 by FloraC) – the earliest verified occurrence of the term.