54/49: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = Zalzal's mujannab, superpythagorean | | Name = Zalzal's mujannab, superpythagorean chroma | ||
| Color name = rr1, ruru unison | | Color name = rr1, ruru unison | ||
| Sound = jid_54_49_pluck_adu_dr220.mp3 | | 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. | '''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 | 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. | 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. | ||
Latest revision as of 12:52, 30 June 2025
| Interval information |
superpythagorean chroma
[sound info]
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.
It is also called the superpythagorean chromatic semitone[idiosyncratic term] 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 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.