242/225
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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]\text{d2}^{11,11}_{5,5}[/math]
Special properties
reduced
Tenney height (log2 nd)
15.7326
Weil height (log2 max(n, d))
15.8377
Wilson height (sopfr(nd))
40
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.25823 bits
[sound info]
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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). [clarification needed ]
See also
- Gallery of just intervals
- 9/8 – classic tone
- 45/44 – undecimal 1/5-tone (which sounds to me like an "undecimal chroma" in analogy to 25/24)