27/22

Interval information

Ratio	27/22
Factorization	2-1 × 33 × 11-1
Monzo	[-1 3 0 0 -1⟩
Size in cents	354.5471¢
Names	rastmic neutral third, Alpharabian tendoneutral third
Color name	1u3, lu 3rd
FJS name	[math]\displaystyle{ \text{M3}_{11} }[/math]
Special properties	reduced
Tenney height (log2 nd)	9.21432
Weil height (log2 max(n, d))	9.50978
Wilson height (sopfr(nd))	22
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.25985 bits
[sound info]
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27/22, conventionally called the rastmic neutral third, is 243/242 (7.1 ¢) sharp of 11/9, and together with 11/9 makes 3/2, so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between 10/9 and 15/11, and 11/9 and 3/2 and their inversions. As this is the larger of two 11-limit neutral thirds obtained by modifying Pythagorean intervals by 33/32, it is dubbed the Alpharabian tendoneutral third in Alpharabian tuning.

See also

• 24edo
• 44/27 – its octave complement
• 11/9 – its fifth complement
• Gallery of just intervals
• Iceface Tuning