22/15

Interval information

Ratio	22/15
Factorization	2 × 3-1 × 5-1 × 11
Monzo	[1 -1 -1 0 1⟩
Size in cents	663.0492¢
Names	undecimal diminished fifth, undecimal acute ultra-diminished fifth
Color name	1og5, logu 5th
FJS name	[math]\displaystyle{ \text{d5}^{11}_{5} }[/math]
Special properties	reduced
Tenney height (log2 nd)	8.36632
Weil height (log2 max(n, d))	8.91886
Wilson height (sopfr(nd))	21
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.30539 bits
[sound info]
Open this interval in xen-calc

The undecimal diminished fifth of 22/15 is flat of 3/2 by 45/44, and is the interval between 5/4 and 11/6. It is wider than 16/11 by exactly 121/120 and narrower than 40/27 by exactly 100/99. Additionally, it is wider than 352/243 by exactly 81/80, which lends to it being called the undecimal acute ultra-diminished fifth. 5 steps of 9edo is a good approximation of this interval.

See also

• 15/11 – its octave complement
• 45/44 – its fifth complement
• Gallery of just intervals