26/25: Difference between revisions

Wikispaces>FREEZE
No edit summary
BudjarnLambeth (talk | contribs)
mNo edit summary
 
(17 intermediate revisions by 6 users not shown)
Line 1: Line 1:
'''26/25'''
{{Infobox Interval
|1 0 -2 0 0 1>
| Name = large tridecimal third tone
| Color name = 3ogg2, thogugu 2nd
| Sound = jid_26_25_pluck_adu_dr220.mp3
| Comma = yes
}}
In [[13-limit]] [[just intonation]], '''26/25''', the '''large tridecimal third tone''' appears as the difference between the 26th and 25th [[harmonic]]s. Thus it makes the difference between [[13/8]] and [[25/16]] (a stack of two [[5/4]]'s). If it is treated as a comma, then [[5/4]] and [[13/10]] both collapse to a Neogothic-flavored major third in between them representing half of 13/8. It measures about 67.9¢.


67.9002 cents
== Approximation ==
26/25 is very well approximated in [[53edo]] as 3\53 (+0.024{{cent}}), and in [[28edt]] as 1\28edt (+0.027{{cent}}). Its equal multiplication - 1ed26/25 - is effectively the same thing as 28edt.


[[File:jid_26_25_pluck_adu_dr220.mp3]] [[:File:jid_26_25_pluck_adu_dr220.mp3|sound sample]]
== See also ==
* [[25/13]] - its [[octave complement]]
* [[27/26]] - the small tridecimal third tone
* [[Gallery of just intervals]]
* [[List of superparticular intervals]]


In [[13-limit|13-limit]] [[Just_intonation|Just Intonation]], 26/25 appears as the difference between the 26th harmonic and the 25th. Thus it makes the difference between [[13/8|13/8]] and [[25/16|25/16]] (a stack of two [[5/4|5/4]]'s). It measures about 67.9¢.
[[Category:Third tone]]
 
[[Category:Commas named after their interval size]]
See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]], [[List_of_Superparticular_Intervals|List of Superparticular Intervals]]