1001/1000: Difference between revisions

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'''1001/1000''', otherwise known as the '''fairytale comma''', or the '''sinbadma''', is an [[unnoticeable comma|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.
'''1001/1000''', otherwise known as the '''fairytale comma''', or the '''sinbadma''', is an [[unnoticeable comma|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.
== Etymology ==
The name is likely a reference to ''One Thousand and One Nights''.


== See also ==
== See also ==
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[[Category:Sinbadmic]]
[[Category:Sinbadmic]]
[[Category:Commas referencing a famous use of a number]]

Revision as of 03:17, 4 November 2024

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
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.

Etymology

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

See also