23/18: Difference between revisions

Relationship to the pythagorean M3
Overthink (talk | contribs)
m Approximation: - extra newline
 
(3 intermediate revisions by 2 users not shown)
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Name = vicesimotertial diminished fourth
| Name = vicesimotertial major third
| Color name = 23o4, twetho 4th
| Color name = 23o4, twetho 4th
| Sound = jid_23_18_pluck_adu_dr220.mp3
| Sound = jid_23_18_pluck_adu_dr220.mp3
}}
}}


'''23/18''' is a [[23-limit]] interval that is the [[mediant]] between [[9/7]] and [[14/11]], giving it a character that is somewhere between the gentle undecimal thirds and the more strident septimal supermajor ones. It is sharp of the [[81/64|Pythagorean major third]] by a vicesimoterial formal comma, [[736/729]].  
'''23/18''', the '''vicesimoterial major third''', is a [[23-limit]] interval that is the [[mediant]] between [[9/7]] and [[14/11]], giving it a character that is somewhere between the gentle undecimal thirds and the more strident septimal supermajor ones. It is sharp of the [[81/64|Pythagorean major third]] by a vicesimoterial formal comma, [[736/729]].  


== Approximation ==
== Approximation ==
This interval is decently represented by 6 steps of [[17edo]], and near perfectly by 29 steps of [[82edo]]. If used as a generator, it creates [[squares]] temperament.
This interval is decently represented by 6 steps of [[17edo]], and near perfectly by 29 steps of [[82edo]]. If used as a generator, it creates [[squares]] temperament.
{{Interval edo approximation}}


== See also ==
== See also ==
Line 16: Line 17:
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:Fourth]]
[[Category:Diminished fourth]]
[[Category:Third]]
[[Category:Third]]
[[Category:Supermajor third]]
[[Category:Supermajor third]]