54/49: Difference between revisions

(19 intermediate revisions by 14 users not shown)

Line 1:

{{Infobox Interval

~~| Icon =~~

| Name = Zalzal's mujannab, superpythagorean chroma

~~| Ratio = 54/49~~

| Color name = rr1, ruru unison

~~| Monzo = 1 3 0 -2~~

~~| Cents = 168.21319~~

| Name = Zalzal's mujannab

| Color name = rr1, ruru ~~augmented~~ 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 ==

~~'''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 and 245/243 flat of 10/9. It is the interval between [[7/6~~]] ~~and [[9~~/~~7]]. Tempering out 540/539 equates it~~ 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.

== 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.

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 [[~~inverse interval~~]]

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

* [[Gallery of just intervals]]

~~[[Category:7-limit]]~~

~~[[Category:Interval]]~~

~~[[Category:Ratio]]~~

~~[[Category:Second]]~~

[[Category:Second]]

[[Category:Neutral second]]

[[Category:Equable heptatonic]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
+| Name = Zalzal's mujannab, superpythagorean chroma
-| Ratio = 54/49
+| Color name = rr1, ruru unison
-| Monzo = 1 3 0 -2
-| Cents = 168.21319
-| Name = Zalzal's mujannab
-| Color name = rr1, ruru augmented 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}}
-'''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 and 245/243 flat of 10/9. It is the interval between [[7/6]] and [[9/7]]. Tempering out 540/539 equates it 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.
+== 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.
+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 [[inverse interval]]
+* [[49/27]] – its [[octave complement]]
 * [[Gallery of just intervals]]
-[[Category:7-limit]]
-[[Category:Interval]]
-[[Category:Ratio]]
-[[Category:Second]]
 [[Category:Second]]
+[[Category:Neutral second]]
+[[Category:Equable heptatonic]]