54/49
Jump to navigation
Jump to search
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]\text{A1}_{7,7}[/math]
Special properties
reduced
Tenney height (log2 nd)
11.3696
Weil height (log2 max(n, d))
11.5098
Wilson height (sopfr(nd))
25
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.22173 bits
[sound info]
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[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.
Moving to 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.