35/27: Difference between revisions

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'''35/27'''
{{Infobox Interval
|0 -3 1 1>
| Name = septimal semidiminished fourth
| Color name = zy4, zoyo 4th
| Sound = jid_35_27_pluck_adu_dr220.mp3
}}


449.2746 cents
'''35/27''', the '''septimal semidiminished fourth''', is the interval between [[9/7]] and [[5/3]]. It is about 449.3 [[cent]]s in size, [[245/243]] sharp of [[9/7]] and [[351/350]] flat of [[13/10]]. Tempering out 351/350 leads to chords such as the [[ratwolf triad]], a tempered 1-6/5-20/13.


[[File:jid_35_27_pluck_adu_dr220.mp3]] [[:File:jid_35_27_pluck_adu_dr220.mp3|sound sample]]
Notice it is also sharp of the just major third by [[28/27]], the subminor second, suggesting the function of a dissonance yet to be resolved down to the major third.  


'''35/27''', the semi-diminished fourth, is the interval between [[9/7|9/7]] and [[5/3|5/3]]. It is about 449.3 [[cent|cents]] in size and 351/350 flat of [[13/10|13/10]]. Tempering out 351/350 leads to chords such as the [[ratwolf_triad|ratwolf triad]], a tempered 1-6/5-20/13.
== See also ==
* [[54/35]] – its [[octave complement]]
* [[81/70]] – its [[fifth complement]]
* [[Gallery of just intervals]]
* [[:File:Ji-35-27-csound-foscil-220hz.mp3]] – another sound example
 
[[Category:Fourth]]
[[Category:Diminished fourth]]
[[Category:Interseptimal intervals]]
[[Category:Naiadic]]

Latest revision as of 03:27, 28 April 2023

Interval information
Ratio 35/27
Factorization 3-3 × 5 × 7
Monzo [0 -3 1 1⟩
Size in cents 449.2746¢
Name septimal semidiminished fourth
Color name zy4, zoyo 4th
FJS name [math]\displaystyle{ \text{P4}^{5,7} }[/math]
Special properties reduced
Tenney height (log2 nd) 9.88417
Weil height (log2 max(n, d)) 10.2586
Wilson height (sopfr(nd)) 21

[sound info]
Open this interval in xen-calc

35/27, the septimal semidiminished fourth, is the interval between 9/7 and 5/3. It is about 449.3 cents in size, 245/243 sharp of 9/7 and 351/350 flat of 13/10. Tempering out 351/350 leads to chords such as the ratwolf triad, a tempered 1-6/5-20/13.

Notice it is also sharp of the just major third by 28/27, the subminor second, suggesting the function of a dissonance yet to be resolved down to the major third.

See also

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