4/1: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = 4th harmonic, double octave, fifteenth, tetrave
| Name = 4th harmonic, double octave, perfect fifteenth, tetrave, quadruple
| Color name = wa 15th
| Color name = wa 15th
| Sound = jid_4_1_pluck_adu_dr110.mp3
| Sound = jid_4_1_pluck_adu_dr110.mp3
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{{Wikipedia| Fifteenth }}
{{Wikipedia| Fifteenth }}


'''4/1''', the '''4th harmonic''', '''double octave''', '''fifteenth''', or '''tetrave''' is the [[harmonic]] past [[3/1]] and before [[5/1]]. It is equal to a stack of two [[octave]]s: ([[2/1]])<sup>2</sup>.
'''4/1''', the '''4th harmonic''', '''double octave''','''perfect fifteenth''', '''tetrave''' or '''quadruple''', is the [[harmonic]] past [[3/1]] and before [[5/1]]. It is equal to a stack of two [[octave]]s: ([[2/1]])<sup>2</sup>.


It is the [[interval of equivalence]] in certain temperaments that omit every other octave, such as [[meansquared]].
It can act as the [[interval of equivalence]] in temperaments that omit every other octave, such as [[meansquared]].


== See also ==
== See also ==

Revision as of 10:20, 31 March 2025

Interval information
Ratio 4/1
Factorization 22
Monzo [2
Size in cents 2400¢
Names 4th harmonic,
double octave,
perfect fifteenth,
tetrave,
quadruple
Color name wa 15th
FJS name [math]\displaystyle{ \text{P15} }[/math]
Special properties harmonic,
highly composite harmonic
Tenney height (log2 nd) 2
Weil height (log2 max(n, d)) 4
Wilson height (sopfr(nd)) 4

[sound info]
Open this interval in xen-calc
English Wikipedia has an article on:

4/1, the 4th harmonic, double octave,perfect fifteenth, tetrave or quadruple, is the harmonic past 3/1 and before 5/1. It is equal to a stack of two octaves: (2/1)2.

It can act as the interval of equivalence in temperaments that omit every other octave, such as meansquared.

See also

  • Ed4 – equal divisions of the 4th harmonic