1001/1000: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = fairytale comma, sinbadma
| Ratio = 1001/1000
| Color name = 3o1ozg<sup>3</sup>2, tholozotrigu 2nd,<br>Tholozotrigu comma
| Monzo = -3 0 -3 1 1 1
| Comma = yes
| Cents = 1.73037
| Name = fairytale comma, <br> sinbadma
| Color name =
| FJS name =
| Sound =  
}}
}}


'''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 [[77/64]] 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]] [[2.5.7.11.13 subgroup|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 [[128/125|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]].


[[Category:13-limit]]
== Etymology ==
[[Category:Unnoticeable comma]]
The name is likely a reference to ''[[Wikipedia:One Thousand and One Nights|One Thousand and One Nights]]''.
 
== See also ==
* [[Sinbadmic chords]]
* [[Unnoticeable comma]]
 
[[Category:Sinbadmic]]
[[Category:Commas referencing a famous use of a number]]

Latest revision as of 00:53, 26 December 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 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

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