1323/1280
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Ratio
1323/1280
Factorization
2-8 × 33 × 5-1 × 72
Monzo
[-8 3 -1 2⟩
Size in cents
57.2031¢
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{nd}[/math])
~4.41258 bits
Comma size
medium
open this interval in xen-calc
| Interval information |
septimal 21st-octave
(Shannon, [math]\sqrt{nd}[/math])
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.