Fifth complement: Difference between revisions
Undo revision 190130 by VectorGraphics (talk). I actually did a Google search just to verify this and in fact, perhaps surprisingly, I found no earlier sources. |
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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 | 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 traditional-sounding {{w|tertian harmony|tertian}} [[triad]]s, and even as a way of describing the relationships between different [[:Category:third|third]]s. | ||
== History == | == History == | ||
The | 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 tertian 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>. | ||
== 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]] | ||
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* [[Fourth complement]] | * [[Fourth complement]] | ||
== | == References == | ||
<references/> | <references/> | ||