243/176

Interval information

Ratio	243/176
Factorization	2-4 × 35 × 11-1
Monzo	[-4 5 0 0 -1⟩
Size in cents	558.4571¢
Name	Alpharabian infra-augmented fourth
Color name	L1u4, lalu 4th
FJS name	[math]\displaystyle{ \text{A4}_{11} }[/math]
Special properties	reduced
Tenney height (log2 nd)	15.3842
Weil height (log2 max(n, d))	15.8496
Wilson height (sopfr(nd))	34
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.24449 bits
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243/176, the Alpharabian infra-augmented fourth is an 11-limit interval that differs from 11/8 by 243/242. The term "infra-augmented" in the name of this interval comes from the fact that this interval is created by subtracting the 33/32 quartertone from 729/512, the Pythagorean augmented fourth.

See also

• 352/243 – its octave complement
• Alpharabian tuning
• Gallery of just intervals