55/48: Difference between revisions

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'''55/48'''
{{Infobox Interval
|-4 -1 1 0 1>
| Icon =
| Ratio = 55/48
| Monzo = -4 -1 1 0 1
| Cents = 235.67666
| Name = keenanismic supermajor second
| Color name =
| FJS name = M2<sup>55</sup>
| Sound = jid_55_48_pluck_adu_dr220.mp3
}}


235.6767 cents
'''55/48''', the '''keenanismic supermajor second''', is [[385/384]] (4.5 cents) sharper than [[8/7|8/7]]. It arises in [[11-limit]] JI scales as the interval between [[16/15]] and [[11/9]], [[12/11]] and [[5/4]], [[6/5]] and [[11/8]], and their inversions. It is 0.038 cents flatter than the 11\56 supermajor second of [[56edo]].


[[File:jid_55_48_pluck_adu_dr220.mp3]] [[:File:jid_55_48_pluck_adu_dr220.mp3|sound sample]]
== See also ==
 
* [[96/55]] – its [[octave complement]]
* [[144/110]] – its [[fifth complement]]
* [[Gallery of just intervals]]


'''55/48''', the keenanismic supermajor second, is 385/384 (4.5 cents) sharper than [[8/7|8/7]]. It arises in 11-limit JI scales as the interval between 16/15 and 11/9, 12/11 and 5/4, 6/5 and 11/8, and their inversions. It is 0.038 cents flatter than the 11\56 supermajor second of [[56edo|56edo]].
[[Category:11-limit]]
[[Category:11-limit]]
[[Category:just_interval]]
[[Category:Interval ratio]]
[[Category:sound_example]]
[[Category:Just interval]]
[[Category:Second]]
[[Category:Supermajor second]]
[[Category:Keenanismic]]
[[Category:Listen]]

Revision as of 20:52, 27 September 2020

Interval information
Ratio 55/48
Factorization 2-4 × 3-1 × 5 × 11
Monzo [-4 -1 1 0 1⟩
Size in cents 235.6767¢
Name keenanismic supermajor second
FJS name [math]\displaystyle{ \text{M2}^{55} }[/math]
Special properties reduced
Tenney height (log2 nd) 11.3663
Weil height (log2 max(n, d)) 11.5627
Wilson height (sopfr(nd)) 27

[sound info]
Open this interval in xen-calc

55/48, the keenanismic supermajor second, is 385/384 (4.5 cents) sharper than 8/7. It arises in 11-limit JI scales as the interval between 16/15 and 11/9, 12/11 and 5/4, 6/5 and 11/8, and their inversions. It is 0.038 cents flatter than the 11\56 supermajor second of 56edo.

See also

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