54/49: Difference between revisions

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{{Infobox Interval

| Name = Zalzal's mujannab, superpythagorean ~~chromatic semitone~~

| Name = Zalzal's mujannab, superpythagorean chroma

| Color name = rr1, ruru unison

| Sound = jid_54_49_pluck_adu_dr220.mp3

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'''Zalzal's mujannab''', the interval of '''54/49''' introduced by [[Wikipedia:Mansour Zalzal|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.

It is also called the '''superpythagorean chromatic semitone'''{{idio}} since, in [[superpyth]] temperament, the minor third is 7/6, the major third is 9/7, and ~~sharps and flats raise and lower by an interval approximating~~ 54/49.

It is also called the '''superpythagorean chromatic semitone'''{{idio}} or '''superpythagorean chroma''' 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]], this can be tempered out, leading to 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.

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 {{Infobox Interval
-| Name = Zalzal's mujannab, superpythagorean chromatic semitone
+| Name = Zalzal's mujannab, superpythagorean chroma
 | Color name = rr1, ruru unison
 | Sound = jid_54_49_pluck_adu_dr220.mp3
@@ Line 7: / Line 7: @@
 '''Zalzal's mujannab''', the interval of '''54/49''' introduced by [[Wikipedia:Mansour Zalzal|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.
-It is also called the '''superpythagorean chromatic semitone'''{{idio}} since, in [[superpyth]] temperament, the minor third is 7/6, the major third is 9/7, and sharps and flats raise and lower by an interval approximating 54/49.
+It is also called the '''superpythagorean chromatic semitone'''{{idio}} or '''superpythagorean chroma''' 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]], this can be tempered out, leading to 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.