242/225: Difference between revisions

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'''242/225''', the interval between [[22/15]] and [[15/11]], is about 126 [[cent]]s in size and may be called '''doubly undecimal-diminished second''': the amount by which the relating fourth is augmented (4/3*45/44=15/11) and the fifth is diminished (3/2*44/45=22/15) is applied twice to the classic major second (9/8*44/45*44/45=242/225).
'''242/225''', the interval between [[22/15]] and [[15/11]], is about 126 [[cent]]s in size and may be called '''doubly undecimal-diminished second''': the amount by which the relating fourth is augmented (4/3*45/44=15/11) and the fifth is diminished (3/2*44/45=22/15) is applied twice to the classic major second (9/8*44/45*44/45=242/225).
What?!


== See also ==
== See also ==

Revision as of 11:02, 13 October 2024

Interval information
Ratio 242/225
Factorization 2 × 3-2 × 5-2 × 112
Monzo [1 -2 -2 0 2
Size in cents 126.0985¢
Name doubly undecimal-diminished second (?)
Color name 1oogg2, bilogu 2nd
FJS name [math]\displaystyle{ \text{d2}^{11,11}_{5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 15.7326
Weil norm (log2 max(n, d)) 15.8377
Wilson norm (sopfr(nd)) 40

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242/225, the interval between 22/15 and 15/11, is about 126 cents in size and may be called doubly undecimal-diminished second: the amount by which the relating fourth is augmented (4/3*45/44=15/11) and the fifth is diminished (3/2*44/45=22/15) is applied twice to the classic major second (9/8*44/45*44/45=242/225).



What?!

See also