Tritonoquartisma: Difference between revisions

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m Added color name
 
Line 3: Line 3:
| Monzo = -55 11 1 -1 11
| Monzo = -55 11 1 -1 11
| Name = tritonoquartisma
| Name = tritonoquartisma
| Color name = L<sup>3</sup>1o<sup>11</sup>ry-5, trila-lelo-aruyo negative 5th
| Comma = yes
| Comma = yes
}}
}}
The '''Tritonoquartisma''', with a ratio of '''252710532568634085/252201579132747776''' is an [[11-limit]] [[unnoticeable comma|unnoticeable]] [[comma]] with a size of roughly 3.49 [[cent]]s.  This rather complicated comma gets its name from that fact that it equates a stack of eleven [[33/32|Al-Farabi Quartertone]]s with a [[7/5]] tritone.  It is tempered out in relatively simple equal temperament systems like [[22edo]], [[24edo]] and [[46edo]] as well as in more complicated ones like [[159edo]], [[431edo]] and [[612edo]].
The '''Tritonoquartisma''', with a ratio of '''252710532568634085/252201579132747776''' is an [[11-limit]] [[unnoticeable comma|unnoticeable]] [[comma]] with a size of roughly 3.49 [[cent]]s.  This rather complicated comma gets its name from that fact that it equates a stack of eleven [[33/32|Al-Farabi Quartertone]]s with a [[7/5]] tritone.  It is tempered out in relatively simple equal temperament systems like [[22edo]], [[24edo]] and [[46edo]] as well as in more complicated ones like [[159edo]], [[431edo]] and [[612edo]].

Latest revision as of 06:29, 8 September 2023

Interval information
Ratio 252710532568634085/252201579132747776
Factorization 2-55 × 311 × 5 × 7-1 × 1111
Monzo [-55 11 1 -1 11
Size in cents 3.490183¢
Name tritonoquartisma
Color name L31o11ry-5, trila-lelo-aruyo negative 5th
FJS name [math]\displaystyle{ \text{d}{-5}^{5,11,11,11,11,11,11,11,11,11,11,11}_{7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 115.618
Weil norm (log2 max(n, d)) 115.621
Wilson norm (sopfr(nd)) 276
Comma size unnoticeable
Open this interval in xen-calc

The Tritonoquartisma, with a ratio of 252710532568634085/252201579132747776 is an 11-limit unnoticeable comma with a size of roughly 3.49 cents. This rather complicated comma gets its name from that fact that it equates a stack of eleven Al-Farabi Quartertones with a 7/5 tritone. It is tempered out in relatively simple equal temperament systems like 22edo, 24edo and 46edo as well as in more complicated ones like 159edo, 431edo and 612edo.