1001/1000

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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]\text{dd2}^{7,11,13}_{5,5,5}[/math]
Special properties superparticular,
reduced
Tenney height (log2 n⋅d) 19.933
Weil height (max(n, d)) 1001
Benedetti height (n⋅d) 1001000
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.41092 bits
Comma size unnoticeable
open this interval in xen-calc

1001/1000, otherwise known as the fairytale comma, or the sinbadma, is an unnoticeable 13-limit comma by which a stack consisting of 7/5, 11/10, and 13/10 exceeds the octave, or equivalently stated, an octave reduced stack consisting of 7/4, 11/8, and 13/8 exceeds the 125/64 classic augmented seventh.

See also