54/49: Difference between revisions

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'''54/49'''

{{Infobox Interval

|~~1 3 0 -2>~~

| Name = Zalzal's mujannab, superpythagorean chroma

| Color name = rr1, ruru unison

| Sound = jid_54_49_pluck_adu_dr220.mp3

}}

'''54/49''', '''Zalzal's mujannab''', is an interval introduced by {{w|Mansour Zalzal}}. It is between [[11/10]] and [[10/9]] in size, being [[540/539]] sharp of 11/10 and [[245/243]] flat of 10/9. It is the interval between [[7/6]] and [[9/7]].

~~168.2132 cents~~

== Approximation ==

[[~~File:jid_54_49_pluck_adu_dr220.mp3~~]] [[~~:File:jid_54_49_pluck_adu_dr220~~.~~mp3|sound sample~~]]

== Temperaments ==

[[Tempering out]] [[540/539]] equates 54/49 with 11/10 and leads to [[swetismic chords]]. Occurring often in JI scales, it is one of the ways 11-limit harmony gets introduced into [[7-limit]] scales.

~~Zalzal~~'~~s mujannab~~, the ~~interval of 54~~/~~49 introduced by Mansour Zalzal~~, is ~~between 11~~/10 and 10/~~9 in size, being 540/539 sharp of~~ [[~~11/10~~|~~11/10~~]] ~~and 245/243 flat of~~ [[~~10/9~~|~~10/9~~]]~~. It is~~ the ~~interval between~~ [[7/6|7/6]] ~~and~~ [[~~9/7|9~~/7]]~~. Tempering out 540/539 equates it with 11/10 and leads to~~ [[~~swetismic_chords|swetismic chords~~]]~~. Occurring often in JI scales, it is one~~ of ~~the ways 11-limit harmony gets introduced into 7-limit scales.~~

It is also called the '''superpythagorean chromatic semitone''' or '''superpythagorean chroma'''{{idio}} since, in [[superpyth]] temperament, the minor third is 7/6, the major third is 9/7, and the difference between the two is 54/49.

Moving to [[exotemperament|exotempering]], the interval can be tempered out, leading to the [[2.3.7 subgroup|2.3.7-subgroup]] version of the [[mujannabic]] temperament equating 7/6 and 9/7. However, it is usually better to temper out [[25/24]] instead for a similar structural effect.

== See also ==

* [[49/27]] – its [[octave complement]]

* [[Gallery of just intervals]]

[[Category:Second]]

[[Category:Neutral second]]

[[Category:Equable heptatonic]]

@@ Line 1: / Line 1: @@
-'''54/49'''
+{{Infobox Interval
-|1 3 0 -2&gt;
+| Name = Zalzal's mujannab, superpythagorean chroma
+| Color name = rr1, ruru unison
+| Sound = jid_54_49_pluck_adu_dr220.mp3
+}}
+'''54/49''', '''Zalzal's mujannab''', is an interval introduced by {{w|Mansour Zalzal}}. It is between [[11/10]] and [[10/9]] in size, being [[540/539]] sharp of 11/10 and [[245/243]] flat of 10/9. It is the interval between [[7/6]] and [[9/7]].
-.2132 cents
+== Approximation ==
+{{Interval edo approximation|54/49}}
-[[File:jid_54_49_pluck_adu_dr220.mp3]] [[:File:jid_54_49_pluck_adu_dr220.mp3|sound sample]]
+== Temperaments ==
+[[Tempering out]] [[540/539]] equates 54/49 with 11/10 and leads to [[swetismic chords]]. Occurring often in JI scales, it is one of the ways 11-limit harmony gets introduced into [[7-limit]] scales.
-Zalzal's mujannab, the interval of 54/49 introduced by Mansour Zalzal, is between 11/10 and 10/9 in size, being 540/539 sharp of [[11/10|11/10]] and 245/243 flat of [[10/9|10/9]]. It is the interval between [[7/6|7/6]] and [[9/7|9/7]]. Tempering out 540/539 equates it with 11/10 and leads to [[swetismic_chords|swetismic chords]]. Occurring often in JI scales, it is one of the ways 11-limit harmony gets introduced into 7-limit scales.
+It is also called the '''superpythagorean chromatic semitone''' or '''superpythagorean chroma'''{{idio}} since, in [[superpyth]] temperament, the minor third is 7/6, the major third is 9/7, and the difference between the two is 54/49.
+Moving to [[exotemperament|exotempering]], the interval can be tempered out, leading to the [[2.3.7 subgroup|2.3.7-subgroup]] version of the [[mujannabic]] temperament equating 7/6 and 9/7. However, it is usually better to temper out [[25/24]] instead for a similar structural effect.
+== See also ==
+* [[49/27]] – its [[octave complement]]
+* [[Gallery of just intervals]]
+[[Category:Second]]
+[[Category:Neutral second]]
+[[Category:Equable heptatonic]]