35/29: Difference between revisions

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+ distance to the nearest simple pythagorean interval. Cleanup
 
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'''35/29'''
{{Infobox Interval
|0 0 1 1 0 0 0 0 0 -1>
| Name = doublewide minor third
| Color name = 29uzy3, twenuzoyo 3rd
| Sound = jid_35_29_pluck_adu_dr220.mp3
}}
'''35/29''', the '''doublewide minor third''', is a minor third in [[29-limit]] [[just intonation]]. It is sharp of [[32/27]], the Pythagorean minor third, by [[945/928]], and sharp of [[6/5]], the classical minor third, by [[175/174]]. It is flat by [[29/24]], another 29-limit minor third, by [[841/840]] ({{S|29}}), a comma 2.06{{C}} in size.


325.5624 cents
== Approximation ==
{{Interval edo approximation|35/29}}


[[File:jid_35_29_pluck_adu_dr220.mp3]] [[:File:jid_35_29_pluck_adu_dr220.mp3|sound sample]]
== Temperaments ==
The 35/29 interval gives an excellent generator for the [[doublewide]] temperament with a half octave. It lies between [[59edo|16\59]] ([[118edo|32\118]]) and [[11edo|3\11]] ([[22edo|6\22]]), which may also serve as generators for doublewide.


35/29, the doublewide minor third, gives an excellent tuning for the [[Jubilismic_clan#Doublewide|doublewide]] generator which is a sharp minor third. It lies between 16\[[59edo|59]] (=32\[[118edo|118]]) and 3\[[11edo|11]] (=6\[[22edo|22]]), which may also serve as generators for doublewide.
[[Category:Third]]
[[Category:Minor third]]