1001/1000
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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 | 3o1ozg^{3}2, tholozotrigu 2nd, Tholozotrigu comma |
FJS name | [math]\text{dd2}^{7,11,13}_{5,5,5}[/math] |
Special properties | superparticular, reduced |
Tenney height (log_{2} nd) | 19.933 |
Weil height (log_{2} max(n, d)) | 19.9345 |
Wilson height (sopfr (nd)) | 52 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.22618 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.