48/35

Interval information

Ratio	48/35
Factorization	24 × 3 × 5-1 × 7-1
Monzo	[4 1 -1 -1⟩
Size in cents	546.8154¢
Name	septimal superfourth
Color name	rg4, rugu 4th
FJS name	[math]\displaystyle{ \text{P4}_{5,7} }[/math]
Special properties	reduced
Tenney height (log2 nd)	10.7142
Weil height (log2 max(n, d))	11.1699
Wilson height (sopfr(nd))	23
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.24495 bits
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48/35, the septimal superfourth (546.8 ¢), is 385/384 (4.5 ¢) below the undecimal superfourth of 11/8 (551.3 ¢). It is opposite 1/1 in the octahedral geometry of the hexany 1/1-8/7-6/5-48/35-8/5-12/7-2/1; hence in the keenanismic temperament tempering out 385/384, 11 is an interval of rather low complexity, with 11/8 being the interval between 7/6 and 8/5.

See also

• 35/24 – its octave complement
• Gallery of just intervals
• Superfourth