5/2: Difference between revisions

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'''5/2'''
{{Infobox Interval
|-1 0 1>
| Name = '''just major tenth'''
| Color name = cy3, coyo 3rd
| Sound = jid_5_2_pluck_adu_dr220.mp3
}}
'''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]].


1586.3137 cents
== See also ==
* [[Ed5/2]].


[[File:jid_5_2_pluck_adu_dr220.mp3]] [[:File:jid_5_2_pluck_adu_dr220.mp3|sound sample]]
[[Category:Tenth]]
 
[[Category:Taxicab-2 intervals]]
The ratio between the 2nd and 5th harmonics; one octave above [[5/4|5/4]].
{{Todo|expand}}

Latest revision as of 08:31, 17 March 2026

Interval information
Ratio 5/2
Factorization 2-1 × 5
Monzo [-1 0 1
Size in cents 1586.314¢
Name just major tenth
Color name cy3, coyo 3rd
FJS name [math]\displaystyle{ \text{M10}^{5} }[/math]
Tenney norm (log2 nd) 3.32193
Weil norm (log2 max(n, d)) 4.64386
Wilson norm (sopfr(nd)) 7

[sound info]
Open this interval in xen-calc

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.

See also