Ampersand

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Interval information
Ratio 34171875/33554432
Factorization 2-25 × 37 × 56
Monzo [-25 7 6
Size in cents 31.567289¢
Name ampersand
FJS name [math]\text{dddd}{-3}^{5,5,5,5,5,5}[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 n⋅d) 50.0263
Weil height (max(n, d)) 34171875
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.48255 bits
Comma size medium
open this interval in xen-calc

The ampersand, or Ampersand's comma, is the interval of 34171875/33554432 of size 31.567 cents. It is the amount by which six classic diatonic semitones (16/15) fall short of a fifth; that is, (3/2)/(16/15)6. The 5-limit temperament tempering it out gives the 5-limit version of miracle temperament. The Ampersand's comma was named after Paul Rapoport's cat, Ampersand.