49/36
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| Ratio | 49/36 |
| Factorization | 2-2 × 3-2 × 72 |
| Monzo | [-2 -2 0 2⟩ |
| Size in cents | 533.74181¢ |
| Name | Arabic lute acute fourth |
| Color name | zz5, zozo 5th |
| FJS name | [math]\text{d5}^{7,7}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 10.7846 |
| Weil height (log2 max(n, d)) | 11.2294 |
| Wilson height (sopfr (nd)) | 24 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.27334 bits |
[sound info] | |
| open this interval in xen-calc | |
49/36, the Arabic lute acute fourth, is composed of two subminor thirds of 7/6, and is the interval between 9/7 and 7/4. It is 540/539 (~4 ¢) flat of 15/11. Tempering out 540/539 leads to 11-odd-limit swetismic chords such as the tempering of 1-9/7-3/2-7/4.
Approximation
This interval is especially near the 4th step of 9edo.