192/125
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Ratio
192/125
Factorization
26 × 3 × 5-3
Monzo
[6 1 -3⟩
Size in cents
743.0139¢
Names
classic(al) diminished sixth,
triptolemaic diminished sixth
Color name
g36, trigu 6th
FJS name
[math]\text{d6}_{5,5,5}[/math]
Special properties
reduced
Tenney height (log2 nd)
14.5507
Weil height (log2 max(n, d))
15.1699
Wilson height (sopfr(nd))
30
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.2934 bits
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Interval information |
triptolemaic diminished sixth
(Shannon, [math]\sqrt{nd}[/math])
192/125, the classic(al) diminished sixth or triptolemaic diminished sixth, is a 5-limit interval of about 743 ¢. It is the classical minor sixth (8/5) flattened by the classical chroma (25/24), so it keeps the term classical. It is also the Pythagorean diminished sixth (262144/177147) sharpened by three syntonic commas, which lends itself to the term triptolemaic.