51/40: Difference between revisions

Plumtree (talk | contribs)
m Normalising usage of Infobox Interval
Aura (talk | contribs)
Changed name to reflect the name change of its minor counterpart.
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{{Infobox Interval
{{Infobox Interval
| Name = septendecimal major third
| Name = diatismic major third
| Color name = 17og4, sogu 4th
| Color name = 17og4, sogu 4th
| Sound = Ji-{{#regex:{{PAGENAME}}|/(\S+)\/(\S+)/|\1-\2}}-csound-foscil-220hz.mp3
| Sound = Ji-{{#regex:{{PAGENAME}}|/(\S+)\/(\S+)/|\1-\2}}-csound-foscil-220hz.mp3
}}
}}


In [[17-limit]] [[just intonation]], '''51/40''' is the '''septendecimal major third'''.  Although technically a type of supermajor third, there's already a septendecimal supermajor third in the form of [[22/17]], while 51/40 itself is the [[fifth complement]] of [[20/17]]- the septendecimal minor third.
In [[17-limit]] [[just intonation]], '''51/40''' is the '''diatismic major third'''.  It exceeds the [[81/64|Pythagorean major third (81/64)]] by a [[136/135|diatisma (136/135)]], hence the name.


It is approximated by:
It is approximated by: