54/49: Difference between revisions

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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.


Moving to [[Exotemperament|exotempering]], this can be tempered out, leading to an unnamed 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.


== See also ==
== See also ==

Revision as of 02:16, 26 June 2025

Interval information
Ratio 54/49
Factorization 2 × 33 × 7-2
Monzo [1 3 0 -2
Size in cents 168.2132¢
Name Zalzal's mujannab
Color name rr1, ruru unison
FJS name [math]\displaystyle{ \text{A1}_{7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 11.3696
Weil norm (log2 max(n, d)) 11.5098
Wilson norm (sopfr(nd)) 25

[sound info]
Open this interval in xen-calc

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.

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.

See also