54/49
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Ratio | 54/49 |
Factorization | 2 × 3^{3} × 7^{-2} |
Monzo | [1 3 0 -2⟩ |
Size in cents | 168.21319¢ |
Name | Zalzal's mujannab |
Color name | rr1, ruru unison |
FJS name | [math]\text{A1}_{7,7}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 11.3696 |
Weil height (log_{2} 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 |
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.