1001/1000

Interval information

Ratio	1001/1000
Factorization	2-3 × 5-3 × 7 × 11 × 13
Monzo	[-3 0 -3 1 1 1⟩
Size in cents	1.730369¢
Names	fairytale comma, sinbadma
Color name	3o1ozg32, tholozotrigu 2nd, Tholozotrigu comma
FJS name	[math]\displaystyle{ \text{dd2}^{7,11,13}_{5,5,5} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	19.933
Weil height (log2 max(n, d))	19.9345
Wilson height (sopfr(nd))	52
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.22618 bits
Comma size	unnoticeable
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1001/1000, otherwise known as the fairytale comma, or the sinbadma, is an unnoticeable no-3s 13-limit comma by which a stack consisting of 7/5, 11/10, and 13/10 exceeds the octave, or equivalently stated, a stack consisting of 7/4, 11/8, and 13/8 exceeds the 125/32 classical augmented seventh. It represents the tiny interval between between the starling comma 126/125 and the grossma 144/143, between 26/25 and 80/77, and between 77/75 and 40/39.

Etymology

The name is likely a reference to One Thousand and One Nights.

See also

• Sinbadmic chords
• Unnoticeable comma