7-39-comma: Difference between revisions

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Latest revision as of 05:26, 24 August 2026

Interval information
Ratio 137438953472/137231006679
Factorization 237 × 3-7 × 13-7
Monzo [37 -7 0 0 0 -7
Size in cents 2.621362 ¢
Name 7-39-comma
Color name Sasa-septhu comma
FJS name [math]\displaystyle{ \text{AAA1}_{13,13,13,13,13,13,13} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 73.9978
Weil norm (log2 max(n, d)) 74
Wilson norm (sopfr(nd)) 186
Comma size unnoticeable
Open this interval in xen-calc

The 7-39-comma (monzo: 2.3.13 [37 -7 -7, ratio: 137 438 953 472 / 137 231 006 679) is a unnoticeable 13-limit comma of about 2.62 cents. It is the amount by which a stack of seven 39/32's fall short of two octaves. It is tempered out in low edos that are a multiple of 7, which approximate 39/32 within a fraction of a cent. In Shasavistic theory, it is called Safusagnama.

It factors into 816293376/815730721 and the tridecapyth comma, and is also equal to seven minismas minus the akjaysma. Thus, tempering out any of those pairs of commas implies also tempering this out.