980/729
Jump to navigation
Jump to search
| Ratio | 980/729 |
| Factorization | 22 × 3-6 × 5 × 72 |
| Monzo | [2 -6 1 2⟩ |
| Size in cents | 512.23552¢ |
| Names | retrosensamagic fourth, complex sensamagic fourth |
| Color name | zzy5, zozoyo 5th |
| FJS name | [math]\text{d5}^{5,7,7}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 19.4464 |
| Weil height (log2 max(n, d)) | 19.8733 |
| Wilson height (sopfr (nd)) | 41 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.10482 bits |
| open this interval in xen-calc | |
980/729, the retrosensamagic fourth or complex sensamagic fourth is a 7-limit interval of about 512 cents, sharp of a perfect fourth (4/3) by a sensamagic comma (245/243).
It arises in just intonation as the difference between the supermajor third 9/7 and the semidiminished seventh 140/81, making it a critical tempering target in the Sensamagic dominant chord. However, its distinction from 4/3 is emphasised in the canou family of temperaments, through its accessibility by two steps of the 81/70-generator.
See also
- 729/490 – its octave complement
- Gallery of just intervals