Luna comma

Interval information

Factorization	238 × 3-2 × 5-15
Monzo	[38 -2 -15⟩
Size in cents	1.38429¢
Names	Luna comma, hemithirds comma
Color name	ssg155, sasa-quintrigu 5th, Sasa-quintrigu comma
FJS name	[math]\displaystyle{ \text{9d5}_{5,5,5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	75.9988
Weil height (log2 max(n, d))	76
Wilson height (sopfr(nd))	157
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.21607 bits
Comma size	unnoticeable
Open this interval in xen-calc

The luna comma or hemithirds comma is an interval of about 1.384 cents. It has the monzo [38 -2 -15⟩ and the ratio 274877906944 / 274658203125.

It defines the luna family of temperaments.