1323/1280
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| Ratio | 1323/1280 |
| Factorization | 2-8 × 33 × 5-1 × 72 |
| Monzo | [-8 3 -1 2⟩ |
| Size in cents | 57.203102¢ |
| Names | septimal 2/7-tone, septimal 21st-octave |
| Color name | Lzzg2, lazozogu 2nd |
| FJS name | [math]\text{m2}^{7,7}_{5}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 20.6915 |
| Weil height (log2 max(n, d)) | 20.7392 |
| Wilson height (sopfr (nd)) | 44 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.76871 bits |
| Comma size | medium |
| open this interval in xen-calc | |
1323/1280, the septimal 2/7-tone, is a 7-limit ratio very close to the step of 21edo.
Theory
If taken as a comma to be tempered, it produces greenwood. If it is taken as a period and assigned to 1\21 of the octave, it serves as a period in the akjayland temperament.
[-169 63 -21 42⟩ is a comma that results from the difference of 21 instances of this interval with the octave. For EDOs N up to ~5000, it is tempered out if and only if 21 divides N.