44/39: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 44/39
| Ratio = 44/39
| Monzo = 2 -1 0 0 1 11
| Monzo = 2 -1 0 0 1 -1
| Cents = 208.83528
| Cents = 208.83528
| Name = tridecimal major second, <br>minthmic whole tone
| Name = tridecimal major second, <br>minthmic whole tone
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}}
}}


'''44/39''', the '''tridecimal major second''' is a [[13-limit]] interval that is notable as the [[fourth complement]] of [[13/11]].  Conveniently, it is separated from [[33/26]] by [[9/8]], and is also separated from 9/8 itself by the minthma, hence why it's also called the '''minthmic whole tone'''.
'''44/39''', the '''tridecimal major second''' is a [[13-limit]] interval that is notable as the [[fourth complement]] of [[13/11]].  Conveniently, it is separated from [[33/26]] by [[9/8]], and is also separated from 9/8 itself by the [[minthma]], hence why it's also called the '''minthmic whole tone'''.


== See also ==
== See also ==
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* [[117/88]] – its [[fifth complement]]
* [[117/88]] – its [[fifth complement]]
* [[13/11]] – its [[fourth complement]]
* [[13/11]] – its [[fourth complement]]
[[Category:13-limit]]
[[Category:Second]]
[[Category:Whole tone]]
[[Category:Minthmic]]

Revision as of 20:26, 2 February 2022

Interval information
Ratio 44/39
Factorization 22 × 3-1 × 11 × 13-1
Monzo [2 -1 0 0 1 -1
Size in cents 208.8353¢
Names tridecimal major second,
minthmic whole tone
FJS name [math]\displaystyle{ \text{M2}^{11}_{13} }[/math]
Special properties reduced
Tenney height (log2 nd) 10.7448
Weil height (log2 max(n, d)) 10.9189
Wilson height (sopfr(nd)) 31
Open this interval in xen-calc

44/39, the tridecimal major second is a 13-limit interval that is notable as the fourth complement of 13/11. Conveniently, it is separated from 33/26 by 9/8, and is also separated from 9/8 itself by the minthma, hence why it's also called the minthmic whole tone.

See also