980/729
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Ratio | 980/729 |
Factorization | 2^{2} × 3^{-6} × 5 × 7^{2} |
Monzo | [2 -6 1 2⟩ |
Size in cents | 512.23552¢ |
Name | complex sensamagic fourth |
Color name | zzy5, zozoyo 5th |
FJS name | [math]\text{d5}^{5,7,7}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 19.4464 |
Weil height (log_{2} max(n, d)) | 19.8733 |
Wilson height (sopfr (nd)) | 41 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.43321 bits |
open this interval in xen-calc |
980/729, the 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