Nokotan

Interval information

Ratio	21875/21384
Factorization	2-3 × 3-5 × 55 × 7 × 11-1
Monzo	[-3 -5 5 1 -1⟩
Size in cents	39.30153¢
Names	nokotan, shikanokonokonokokoshitantanma
Color name	1uzy51 luzoquinyo unison
FJS name	[math]\text{AA1}^{5,5,5,5,5,7}_{11}[/math]
Special properties	reduced
Tenney height (log2 nd)	28.8012
Weil height (log2 max(n, d))	28.834
Wilson height (sopfr(nd))	64
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~4.51883 bits
Comma size	medium
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21875/21384, also called the nokotan or the shikanokonokonokokoshitantanma, is a medium 11-limit comma. It is the interval which five 5/3 major sixths exceed one 11/7 undecimal minor sixth plus three octaves. It is also the sum of the ptolemisma (100/99) and the keema (875/864).

It is tempered in 7, 15, 19, 22, 37, 41 and 104edo.