Tridecapyth comma: Difference between revisions

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| Ratio = 3489660928/3486784401
| Ratio = 3489660928/3486784401
| Name = tridecapyth comma
| Name = tridecapyth comma
| Color name = s<sup>3</sup>3o3, trisatho 3rd,<br>Trisatho comma
| Comma = yes
| Comma = yes
}}
}}


The '''tridecapyth comma''' is the [[13-limit]] [[unnoticeable comma]] '''3489660928/3486784401''', which measures roughly 1.43 [[cent]]s.  It is the interval which, when tempered out, not only equates [[13/8]] with a stack of twenty [[3/2]] perfect fifths octave-reduced, and, consequently, a stack of four [[256/243]] Pythagorean limmas with [[16/13]], but also a stack of two [[Pythagorean comma]]s with the [[1053/1024]] tridecimal quartertone.
The '''tridecapyth comma''' is the [[13-limit]] [[unnoticeable comma]] '''3489660928/3486784401''', which measures roughly 1.43 [[cent]]s.  It is the interval which, when tempered out, not only equates [[13/8]] with a stack of twenty [[3/2]] perfect fifths octave-reduced, and, consequently, a stack of four [[256/243]] Pythagorean limmas with [[16/13]], but also a stack of two [[Pythagorean comma]]s with the [[1053/1024]] tridecimal quartertone.

Revision as of 05:31, 19 January 2023

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
Color name s33o3, trisatho 3rd,
Trisatho comma
FJS name [math]\displaystyle{ \text{ddd3}^{13} }[/math]
Special properties reduced
Tenney norm (log2 nd) 63.3997
Weil norm (log2 max(n, d)) 63.4009
Wilson norm (sopfr(nd)) 129
Comma size unnoticeable
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, and, consequently, a stack of four 256/243 Pythagorean limmas with 16/13, but also a stack of two Pythagorean commas with the 1053/1024 tridecimal quartertone.