1001/1000
Jump to navigation
Jump to search
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 nd)
19.933
Weil height (log2 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
| Interval information |
sinbadma
Tholozotrigu comma
reduced
(Shannon, [math]\sqrt{nd}[/math])
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.