Luna comma: Difference between revisions

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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 is the difference between a stack of fifteen [[5/4 | classical major third]]s ([[octave reduction | reduced]] four octaves) and a stack of two [[perfect fourth]]s.
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 is the difference between a stack of fifteen [[5/4|classical major third]]s ([[octave reduction|reduced]] four octaves) and a stack of two [[perfect fourth]]s.


It defines the [[luna family]] of temperaments.
It defines the [[luna family]] of temperaments.

Latest revision as of 20:13, 24 June 2025

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 norm (log2 nd) 75.9988
Weil norm (log2 max(n, d)) 76
Wilson norm (sopfr(nd)) 157
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 is the difference between a stack of fifteen classical major thirds (reduced four octaves) and a stack of two perfect fourths.

It defines the luna family of temperaments.