815730721/800000000: Difference between revisions

Interval information
Ratio	815730721/800000000
Factorization	2-11 × 5-8 × 138
Monzo	[-11 0 -8 0 0 8⟩
Size in cents	33.71158¢
Name	large tridecimal eighth-octave comma
FJS name	[math]\displaystyle{ \text{9d4}^{13,13,13,13,13,13,13,13}_{5,5,5,5,5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	59.1789
Weil norm (log2 max(n, d))	59.207
Wilson norm (sopfr(nd))	166
Comma size	medium
	Open this interval in xen-calc

Latest revision as of 19:52, 24 April 2026

815730721/800000000, the large tridecimal eighth-octave comma, is the difference between eight 13/10's and three octaves.

815730721/800000000 is tempered out in low EDOs that are a multiple of 8, along with 214990848/214358881 and 17303/17280, defining various 8th-octave temperaments.

@@ Line 1: / Line 1: @@
 {{Infobox Interval
+|Ratio = 815730721/800000000
 |Monzo = -11 0 -8 0 0 8
-|Name = Large tridecimal eighth-octave comma
+|Name = large tridecimal eighth-octave comma
 |Comma = yes
 }}
+'''815730721/800000000''', the '''large tridecimal eighth-octave comma''', is the difference between eight [[13/10]]'s and three octaves.
-'''815830271/800000000''', the '''large tridecimal eighth-octave comma''', is a comma slightly larger than the [[syntonic comma]] that is the difference between eight [[13/10]]'s and three octaves. It is tempered out in low EDOs that are a multiple of 8, along with [[214990848/214358881]] and [[17303/17280]], defining various [[8th-octave temperaments]].
+==Temperaments==
+815730721/800000000 is tempered out in low EDOs that are a multiple of 8, along with [[214990848/214358881]] and [[17303/17280]], defining various [[8th-octave temperaments]].
 [[Category:Commas named for their periods per equave]]