729/490
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| Ratio | 729/490 |
| Factorization | 2-1 × 36 × 5-1 × 7-2 |
| Monzo | [-1 6 -1 -2⟩ |
| Size in cents | 687.76448¢ |
| Name | complex sensamagic fifth |
| Color name | rrg4, rurugu 4th |
| FJS name | [math]\text{A4}_{5,7,7}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 18.4464 |
| Weil height (log2 max(n, d)) | 19.0196 |
| Wilson height (sopfr(nd)) | 39 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~3.95741 bits |
| open this interval in xen-calc | |
729/490, the complex sensamagic fifth is a 7-limit ratio of about 687 cents, flat of a just fifth 3/2 by a sensamagic comma 245/243.
It arises in just intonation as the difference between the semidiminished fourth 35/27 and the supermajor seventh 27/14, making it a critical tempering target in the Sensamagic dominant chord. However, its distinction from 3/2 is emphasised in the canou family of temperaments, through its accessibility by two steps of the 81/70-generator.
See also
- 980/729 – its octave complement
- Gallery of just intervals