55/42: Difference between revisions

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Added color and FJS names, misc. edits, categories
Why so fond of keenanismic
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| Monzo = -1 -1 1 -1 1
| Monzo = -1 -1 1 -1 1
| Cents = 466.85075
| Cents = 466.85075
| Name = werckismic subfourth, <br> keenanismic ultramajor third
| Name = werckismic subfourth
| Color name = 1ory3, loruyo 3rd
| Color name = 1ory3, loruyo 3rd
| FJS name = M3<sup>5,11</sup><sub>7</sub>
| FJS name = M3<sup>5,11</sup><sub>7</sub>
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}}
}}


'''55/42''' the '''werckismic subfourth''' or '''keenanismic ultramajor third''', is [[441/440]] (3.9 cents) flat of [[21/16]], and [[385/384]] (4.5 cents) sharp of [[64/49]].  It arises in [[11-limit]] JI scales as the interval between [[16/11]] and [[40/21]], and between [[21/16]] and [[55/32]].
'''55/42''' the '''werckismic subfourth''', is [[441/440]] (3.9 cents) flat of [[21/16]], and [[385/384]] (4.5 cents) sharp of [[64/49]].  It arises in [[11-limit]] JI scales as the interval between [[16/11]] and [[40/21]], and between [[21/16]] and [[55/32]].
 
== Terminology ==
It has been called ''keenanismic ultramajor third'', despite that 64/49 is a more complex interval.  


== See also ==
== See also ==
* [[84/55]] – its [[octave complement]]
* [[84/55]] – its [[octave complement]]
* [[63/55]] – its [[fifth complement]]
* [[63/55]] – its [[fifth complement]]
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[[Category:Fourth]]
[[Category:Fourth]]
[[Category:Subfourth]]
[[Category:Subfourth]]
[[Category:Third]]
[[Category:Supermajor third]]
[[Category:Werckismic]]
[[Category:Werckismic]]

Revision as of 00:34, 23 January 2022

Interval information
Ratio 55/42
Factorization 2-1 × 3-1 × 5 × 7-1 × 11
Monzo [-1 -1 1 -1 1
Size in cents 466.8507¢
Name werckismic subfourth
Color name 1ory3, loruyo 3rd
FJS name [math]\displaystyle{ \text{M3}^{5,11}_{7} }[/math]
Special properties reduced
Tenney height (log2 nd) 11.1737
Weil height (log2 max(n, d)) 11.5627
Wilson height (sopfr(nd)) 28
Open this interval in xen-calc

55/42 the werckismic subfourth, is 441/440 (3.9 cents) flat of 21/16, and 385/384 (4.5 cents) sharp of 64/49. It arises in 11-limit JI scales as the interval between 16/11 and 40/21, and between 21/16 and 55/32.

Terminology

It has been called keenanismic ultramajor third, despite that 64/49 is a more complex interval.

See also