Tridecapyth comma

Revision as of 21:00, 6 September 2021 by Aura (talk | contribs) (Created page with "{{Infobox Interval | JI glyph = | Ratio = 3489660928/3486784401 | Monzo = 28 -20 0 0 0 1 | Cents = 1.42764 | Name = tridecapyth comma | Color name = | FJS name = | Sound =...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Interval information
Ratio 3489660928/3486784401
Factorization 228 × 3-20 × 13
Monzo [28 -20 0 0 0 1
Size in cents 1.427644¢
Name tridecapyth comma
FJS name [math]\displaystyle{ \text{ddd3}^{13} }[/math]
Special properties reduced
Tenney height (log2 nd) 63.3997
Weil height (log2 max(n, d)) 63.4009
Wilson height (sopfr(nd)) 129
Open this interval in xen-calc

The tridecapyth comma is the 13-limit unnoticeable comma 3489660928/3486784401, which measures roughly 1.43 cents. It is the interval which, when tempered out, not only equates 13/8 with a stack of twenty 3/2 perfect fifths octave-reduced, but also a stack of two Pythagorean commas with the 1053/1024 tridecimal quartertone.