22/13: Difference between revisions

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Improve intro, mirroring 13/11
 
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{{Infobox Interval
{{Infobox Interval
| Name = tridecimal major sixth, major minthmic major sixth
| Name = tridecimal major sixth, major-minthmic major sixth
| Color name = 3u1o6, thulo 6th
| Color name = 3u1o6, thulo 6th
| Sound = jid_22_13_pluck_adu_dr220.mp3
| Sound = jid_22_13_pluck_adu_dr220.mp3
}}
}}


'''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)]].
In [[13-limit]] [[just intonation]], '''22/13''' is a '''tridecimal major sixth''', specifically the '''major-minthmic major sixth''', 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 ==
== Approximation ==
This interval is well approximated by [[17edo|13\17]] (917.647 cents), and even better, by [[29edo|22\29]] (910.345 cents).  
This interval is well approximated by [[17edo|13\17]] (917.647 cents), and even better, by [[29edo|22\29]] (910.345 cents).  
{{Interval_Edo_Approximation | 22/13}}
 
{{Interval edo approximation|22/13}}


== See also ==
== See also ==