Enneadeca

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Interval information
Factorization 2-14 × 3-19 × 519
Monzo [-14 -19 19
Size in cents 2.815547¢
Names enneadeca,
19-tone-comma
FJS name [math]\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 height (log2 n⋅d) 88.2309
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.43265 bits
Comma size unnoticeable
open this interval in xen-calc

[-14 -19 19, the enneadeca or 19-tone-comma, is an interval of 2.816 cents which is the amount by which nineteen minor thirds fall short of five octaves, that is, 25/(6/5)19.

Temperament

Tempering out the enneadeca leads to the enneadecal temperament, supported by equal divisions divisible by 19 such as 19edo, 38edo, 57edo, 76edo, 114edo, 152edo, 171edo, 190edo and 228edo.

See also