93/67

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Revision as of 09:10, 29 November 2025 by YoVariable (talk | contribs) (NINETY THREE, SIX SEVEN)
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Interval information
Ratio 93/67
Subgroup monzo 3.31.67 [1 1 -1
Size in cents 567.6835¢
Names banana phone fourth,
sexacontaheptimal augmented fourth
Color name sisuthiwo 3rd, 67u31o3
FJS name [math]\displaystyle{ \text{A3}^{31}_{67} }[/math]
Special properties reduced
Tenney norm (log2 nd) 12.6052
Weil norm (log2 max(n, d)) 13.0783
Wilson norm (sopfr(nd)) 101
Open this interval in xen-calc

93/67, the banana phone fourth or sexacontaheptimal augmented fourth, is a 67-limit narrow tritone measuring about 567.7¢. It represents the interval between the 67th and 93rd harmonics in the harmonic series.

The narrow tritone in 19edo (9\19) approximates it quite well, only being about 0.738¢ sharper than 93/67.

Etymology

This interval was named by YoVariable in 2025. The origin of the name comes from Gen Alpha slang, namely associated with the numbers 67, 93, and the song "What Is This Diddy Blud Doing On The Calculator". The lyrics "banana phone ding, ding, dong" and "six seven" naturally lead 93/67 to be called the "banana phone fourth", despite 93 not being mentioned in the song at all. The origin of the name has nothing to do with the fruit or an actual phone.