27/11

Interval information

Ratio	27/11
Factorization	33 × 11-1
Monzo	[0 3 0 0 -1⟩
Size in cents	1554.547¢
Names	rastmic neutral tenth, Alpharabian tendoneutral tenth
Color name	c1u3, colu 3rd
FJS name	[math]\displaystyle{ \text{M10}_{11} }[/math]
Tenney height (log2 nd)	8.21432
Weil height (log2 max(n, d))	9.50978
Wilson height (sopfr(nd))	20
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.27561 bits
Open this interval in xen-calc

27/11, conventionally called the rastmic neutral tenth, is 243/242 (7.1 ¢) sharp of 22/9, and together with 11/9 makes 3/1. As this is the larger of two 11-limit neutral tenths obtained by modifying Pythagorean intervals by 33/32, it is dubbed the Alpharabian tendoneutral tenth in Alpharabian tuning.

See also

• 24edo
• 27/22 – its octave reduction
• 11/9 – its tritave complement
• Gallery of just intervals

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