13/1: Difference between revisions

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'''13/1'''
{{Infobox Interval
|0 0 0 0 0 1>
| Name = 13th harmonic
| Color name = c<sup>3</sup>3o6, tricotho 6th
| Sound = jid_13_1_pluck_adu_dr55.mp3
}}
'''13/1''', the '''13th harmonic''', is the [[harmonic]] past [[12/1]] and before [[14/1]]. It is three [[octave]]s above [[13/8]], and is the basis of [[13-limit]] harmony, as many 13-limit intervals can be expressed as the difference between this and another harmonic.


4440.5277 cents
== See also ==
 
* [[Gallery of just intervals]]
[[File:jid_13_1_pluck_adu_dr55.mp3]] [[:File:jid_13_1_pluck_adu_dr55.mp3|sound sample]]
* [[Ed13]]
 
The 13th harmonic; three octaves above [[13/8]].
 
[[category:interval]]
[[category:13-limit]]
[[category:todo:expand]]

Latest revision as of 00:08, 27 October 2024

Interval information
Ratio 13/1
Subgroup monzo 13 [1
Size in cents 4440.528¢
Name 13th harmonic
Color name c33o6, tricotho 6th
FJS name [math]\displaystyle{ \text{m27}^{13} }[/math]
Special properties harmonic,
prime harmonic
Tenney height (log2 nd) 3.70044
Weil height (log2 max(n, d)) 7.40088
Wilson height (sopfr(nd)) 13

[sound info]
Open this interval in xen-calc

13/1, the 13th harmonic, is the harmonic past 12/1 and before 14/1. It is three octaves above 13/8, and is the basis of 13-limit harmony, as many 13-limit intervals can be expressed as the difference between this and another harmonic.

See also