33/28: Difference between revisions

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{{Infobox Interval

| Name = undecimal minor third

| Name = undecimal minor third, pentacircle minor third

| Color name = loru 2nd, 1or2

~~| Sound = jid_13_11_pluck_adu_dr220.mp3~~

}}

In [[11-limit]] [[just intonation]], '''33/28''' is the '''~~undecimal~~ minor third''', measuring about 284.4¢. It is the fifth inverse of the ~~undecimal~~ major third [[14/11]].

In [[11-limit]] [[just intonation]], '''33/28''' is an '''undecimal minor third''', specifically the '''pentacircle minor third''', measuring about 284.4 [[cent]]s. It is the fifth inverse of the pentacircle major third [[14/11]].

In many notation systems based on the [[5L 2s|diatonic]] [[chain-of-fifths notation]] with commatic alterations (e.g. [[FJS]], [[HEJI]]), it is a major second, as it is a [[9/8|Pythagorean major second]] plus an instance of [[22/21]], which is a stack consisting of an [[33/32|undecimal quartertone (33/32)]] and a [[64/63|septimal comma (64/63)]], neither of which changes the [[scale|scale degree]] or [[interval quality|quality]].

However, it is only flat of the Pythagorean minor third of [[32/27]] (about 294.1{{c}}) by a [[896/891|pentacircle comma (896/891)]], which makes it function sometimes as a minor third, hence the names.

[[Category:Pentacircle]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = undecimal minor third
+| Name = undecimal minor third, pentacircle minor third
 | Color name = 	loru 2nd, 1or2
-| Sound = jid_13_11_pluck_adu_dr220.mp3
 }}
-In [[11-limit]] [[just intonation]], '''33/28''' is the '''undecimal minor third''', measuring about 284.4¢. It is the fifth inverse of the undecimal major third [[14/11]].
+In [[11-limit]] [[just intonation]], '''33/28''' is an '''undecimal minor third''', specifically the '''pentacircle minor third''', measuring about 284.4 [[cent]]s. It is the fifth inverse of the pentacircle major third [[14/11]].
+In many notation systems based on the [[5L 2s|diatonic]] [[chain-of-fifths notation]] with commatic alterations (e.g. [[FJS]], [[HEJI]]), it is a major second, as it is a [[9/8|Pythagorean major second]] plus an instance of [[22/21]], which is a stack consisting of an [[33/32|undecimal quartertone (33/32)]] and a [[64/63|septimal comma (64/63)]], neither of which changes the [[scale|scale degree]] or [[interval quality|quality]].
+However, it is only flat of the Pythagorean minor third of [[32/27]] (about 294.1{{c}}) by a [[896/891|pentacircle comma (896/891)]], which makes it function sometimes as a minor third, hence the names.
+{{Todo|expand}}
+[[Category:Pentacircle]]