137438953472/137231006679: Difference between revisions

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'''137438953472/137231006679''' is a 13-limit [[unnoticeable comma]] of about 2.62{{cent}}. It is the amount by which a stack of 7 [[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 [[L4MPLIGHT#Shasavistic music theory|Shasavistic theory]], it is called ''Safusagnama''.
'''137438953472/137231006679''' is a 13-limit [[unnoticeable comma]] of about 2.62{{cent}}. It is the amount by which a stack of 7 [[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 [[L4MPLIGHT#Shasavistic music theory|Shasavistic theory]], it is called ''Safusagnama''.


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


[[Category:Commas named systematically]]
[[Category:Commas named systematically]]

Latest revision as of 02:42, 6 April 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

137438953472/137231006679 is a 13-limit unnoticeable comma of about 2.62 ¢. It is the amount by which a stack of 7 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.