5/2: Difference between revisions
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'''5/2''', the '''just major tenth''', is the ratio between the [[2/1|2nd]] and [[5/1|5th]] [[harmonic]]s; one [[octave]] above [[5/4]]. It comes up in open voicings of various chords involving 5/4. For example, it is the bounding interval of [[4:7:10]] and [[14:20:35]], which may be used as the fundamental consonances of the [[2.5.7 subgroup]]. | '''5/2''', the '''just major tenth''', is the ratio between the [[2/1|2nd]] and [[5/1|5th]] [[harmonic]]s; one [[octave]] above [[5/4]]. It comes up in open voicings of various chords involving 5/4. For example, it is the bounding interval of [[4:7:10]] and [[14:20:35]], which may be used as the fundamental consonances of the [[2.5.7 subgroup]]. | ||
In 2026, {{u|CompactStar}} proposed the name '''sestertave''' for this interval in the context of using it an equivalence. This is derived by the same logic as "[[tritave]]", using a somewhat obscure Latin-based numerical prefix for 5/2, sester-, which literally means "half-three" (as in halfway to three if you start at two), found in words like "sestercentennial". | |||
== See also == | == See also == | ||
* [[Ed5/2]]. | * [[Ed5/2]]. | ||
Latest revision as of 09:14, 11 November 2026
| Interval information |
[sound info]
5/2, the just major tenth, is the ratio between the 2nd and 5th harmonics; one octave above 5/4. It comes up in open voicings of various chords involving 5/4. For example, it is the bounding interval of 4:7:10 and 14:20:35, which may be used as the fundamental consonances of the 2.5.7 subgroup.
In 2026, CompactStar proposed the name sestertave for this interval in the context of using it an equivalence. This is derived by the same logic as "tritave", using a somewhat obscure Latin-based numerical prefix for 5/2, sester-, which literally means "half-three" (as in halfway to three if you start at two), found in words like "sestercentennial".