Enneadeca

Interval information

Factorization	2-14 × 3-19 × 519
Monzo	[-14 -19 19⟩
Size in cents	2.815547¢
Name	enneadeca
Color name	y19-4, Neyo comma
FJS name	[math]\displaystyle{ \text{8d}{-4}^{5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	88.2309
Weil norm (log2 max(n, d))	88.2333
Wilson norm (sopfr(nd))	180
Comma size	unnoticeable
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The enneadeca (monzo: [-14 -19 19⟩) is an unnoticeable 5-limit comma of 2.816 cents. It is the amount by which nineteen classical minor thirds fall short of five octaves, that is, 2⁵/(6/5)¹⁹.

Temperament

Tempering out the enneadeca leads to the 5-limit enneadecal temperament, supported by equal divisions divisible by 19 such as 152edo, 171edo, and 190edo.

Etymology

This comma was named by Gene Ward Smith in 2001 in terms of the corresponding temperament, enneadecal, for the temperament has 19 periods per octave. The comma was at one point dubbed enneadecima, though it was enneadeca that stuck.

See also

• Septimal enneadeca