243/128
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Ratio
243/128
Factorization
2-7 × 35
Monzo
[-7 5⟩
Size in cents
1109.775¢
Name
Pythagorean major seventh
Color name
Lw7, lawa 7th
FJS name
[math]\text{M7}[/math]
Special properties
reduced,
reduced harmonic
Tenney height (log2 nd)
14.9248
Weil height (log2 max(n, d))
15.8496
Wilson height (sopfr(nd))
29
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.24223 bits
[sound info]
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reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
243/128 is the Pythagorean major seventh. It is equal to five 3/2s, octave-reduced.