22/13: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 22/13
| Name = tridecimal major sixth, major minthmic major sixth
| Monzo = 1 0 0 0 1 -1
| Cents = 910.7903
| Name = tridecimal major sixth
| Color name = 3u1o6, thulo 6th
| Color name = 3u1o6, thulo 6th
| FJS name = M6<sup>11</sup><sub>13</sub>
| Sound = jid_22_13_pluck_adu_dr220.mp3
| Sound = jid_22_13_pluck_adu_dr220.mp3
}}
}}


'''22/13''', the '''tridecimal major sixth''', is a [[13-limit]] [[just intonation]] interval measuring about 910.8 [[cent]]s. It is the inverse of [[13/11]], the tridecimal minor third. It is sharp of the Pythagorean major sixth [[27/16]] by [[352/351]] (~4.).
'''22/13''', the '''tridecimal major sixth''' or '''major minthmic major sixth''', is a [[13-limit]] [[just intonation]] interval measuring about 910.8 [[cent]]s. It is the inverse of [[13/11]], the tridecimal minor third. It is sharp of the [[27/16|Pythagorean major sixth (27/16)]] by a [[352/351|major minthma (352/351)]].
 
== Approximation ==
This interval is well approximated by [[17edo|13\17]] (917.647 cents), and even better, by [[29edo|22\29]] (910.345 cents).  


== See also ==
== See also ==
* [[13/11]] – its [[octave complement]]
* [[13/11]] – its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[17edo|13\17]] (917.647 cents)


[[Category:13-limit]]
[[Category:Sixth]]
[[Category:Sixth]]
[[Category:Major sixth]]
[[Category:Major sixth]]
[[Category:Minthmic]]
[[Category:Major minthmic]]
[[Category:Pages with internal sound examples]]
 
[[Category:todo:expand]]