35/26: Difference between revisions

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It has 50% relative error in 120edo
 
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{{Infobox Interval
{{Infobox Interval
| Name = animist fourth
| Name = animist fourth
| Color name = 3uzy4, thuzoyo 4th
}}
}}


The '''animist fourth''' (frequency ratio '''35/26''') is a 13-limit interval which is well approximated in several equal step tunings, most notably [[31edt]] and [[120edo]].
The '''animist fourth''' (frequency ratio '''35/26''') is a [[13-limit]] interval which is well approximated in several equal step tunings, most notably [[7edo]] (as 3\7). As its name implies, it is an [[105/104|animist comma (105/104)]] wider than a [[4/3|just perfect fourth (4/3)]].
 
== See also ==
* [[52/35]] – its [[octave complement]]
* [[Gallery of just intervals]]
 
[[Category:Fourth]]
[[Category:Animist]]

Latest revision as of 05:02, 13 March 2024

Interval information
Ratio 35/26
Factorization 2-1 × 5 × 7 × 13-1
Monzo [-1 0 1 1 0 -1
Size in cents 514.612¢
Name animist fourth
Color name 3uzy4, thuzoyo 4th
FJS name [math]\displaystyle{ \text{A4}^{5,7}_{13} }[/math]
Special properties reduced
Tenney height (log2 nd) 9.82972
Weil height (log2 max(n, d)) 10.2586
Wilson height (sopfr(nd)) 27
Open this interval in xen-calc

The animist fourth (frequency ratio 35/26) is a 13-limit interval which is well approximated in several equal step tunings, most notably 7edo (as 3\7). As its name implies, it is an animist comma (105/104) wider than a just perfect fourth (4/3).

See also