51/40: Difference between revisions

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 {{Infobox Interval
-| Name = septendecimal major third
+| Name = diatismic major third
 | Color name = 17og4, sogu 4th
-| 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:
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 * [[3edo|1\3]] ([[12edo|4\12]]) (400 cents)
 * [[17edo|6\17]] ([[34edo|12\34]]) (423.529 cents)
+* [[37edo|13\37]] (421.622 cents)
 == See also ==
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 [[Category:Major third]]
 [[Category:Supermajor third]]
-{{todo|expand}}

Latest revision as of 12:45, 15 June 2025