33/26: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = major minthmic major third, tridecimal major third
| Ratio = 33/26
| Color name = 3u1o3, thulo 3rd
| Monzo = -1 1 0 0 1 -1
| Cents = 412.74528
| Name = tridecimal major third
| Color name =
| FJS name = M3<sup>11</sup><sub>13</sub>
| Sound = Ji-33-26-csound-foscil-220hz.mp3
| Sound = Ji-33-26-csound-foscil-220hz.mp3
}}
}}


'''33/26''', the '''tridecimal major third''', is a [[13-limit]] interval measuring about 412.7 [[Cent|cents]]. It is the [[fifth complement]] of the tridecimal minor third, [[13/11]]. It is sharp of the Pythagorean major third [[81/64]] by [[352/351]].  
'''33/26''', the '''major minthmic major third''' or '''tridecimal major third''', is a [[13-limit]] interval measuring about 412.7{{cent}}. It is the [[fifth complement]] of the tridecimal minor third, [[13/11]]. It is sharp of the [[81/64|Pythagorean major third (81/64)]] by a [[352/351|major minthma (352/351)]].  


== See also ==
== See also ==
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* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:13-limit]]
[[Category:Interval ratio]]
[[Category:Third]]
[[Category:Third]]
[[Category:Major third]]
[[Category:Major third]]
[[Category:Minthmic]]
[[Category:Major minthmic]]
 
[[Category:Todo:expand]]

Latest revision as of 14:37, 15 January 2024

Interval information
Ratio 33/26
Factorization 2-1 × 3 × 11 × 13-1
Monzo [-1 1 0 0 1 -1
Size in cents 412.7453¢
Names major minthmic major third,
tridecimal major third
Color name 3u1o3, thulo 3rd
FJS name [math]\displaystyle{ \text{M3}^{11}_{13} }[/math]
Special properties reduced
Tenney height (log2 nd) 9.74483
Weil height (log2 max(n, d)) 10.0888
Wilson height (sopfr(nd)) 29

[sound info]
Open this interval in xen-calc

33/26, the major minthmic major third or tridecimal major third, is a 13-limit interval measuring about 412.7 ¢. It is the fifth complement of the tridecimal minor third, 13/11. It is sharp of the Pythagorean major third (81/64) by a major minthma (352/351).

See also