1323/1280

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Interval information
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{nd}[/math])
~4.41258 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.