14/11: Difference between revisions

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{{Infobox Interval

| Name = undecimal major third, ~~pentacircle~~ major third

| Name = undecimal major third, neogothic major third

| Color name = 1uz4, luzo 4th

| Sound = jid_14_11_pluck_adu_dr220.mp3

}}

In [[11-limit]] [[just intonation]], '''14/11''' is an '''undecimal major third''', specifically the '''~~pentacircle~~ major third''', a supermajor third of about 417.5¢. It represents the difference between the 11th and 14th harmonics of the [[harmonic series]].

In [[11-limit]] [[just intonation]], '''14/11''' is an '''undecimal major third''', specifically the '''neogothic major third''', a supermajor third of about 417.5¢. It represents the difference between the 11th and 14th harmonics of the [[harmonic series]].

In many notation systems based on the [[3-limit]] with commatic alterations (e.g. [[FJS]], [[HEJI]]), it is an imperfect fourth, as it is a [[4/3|perfect fourth (4/3)]] minus 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 sharp of the Pythagorean ([[3-limit]]) major third of [[81/64]] (about 407.8¢) by a [[896/891|pentacircle comma (896/891)]], which makes it function more often as a major third, hence the names.

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = undecimal major third, pentacircle major third
+| Name = undecimal major third, neogothic major third
 | Color name = 1uz4, luzo 4th
 | Sound = jid_14_11_pluck_adu_dr220.mp3
 }}
-In [[11-limit]] [[just intonation]], '''14/11''' is an '''undecimal major third''', specifically the '''pentacircle major third''', a supermajor third of about 417.5¢. It represents the difference between the 11th and 14th harmonics of the [[harmonic series]].
+In [[11-limit]] [[just intonation]], '''14/11''' is an '''undecimal major third''', specifically the '''neogothic major third''', a supermajor third of about 417.5¢. It represents the difference between the 11th and 14th harmonics of the [[harmonic series]].
 In many notation systems based on the [[3-limit]] with commatic alterations (e.g. [[FJS]], [[HEJI]]), it is an imperfect fourth, as it is a [[4/3|perfect fourth (4/3)]] minus 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 sharp of the Pythagorean ([[3-limit]]) major third of [[81/64]] (about 407.8¢) by a [[896/891|pentacircle comma (896/891)]], which makes it function more often as a major third, hence the names.