Tetracot comma

From Xenharmonic Wiki
(Redirected from 20000/19683)
Jump to navigation Jump to search
Interval information
Ratio 20000/19683
Factorization 25 × 3-9 × 54
Monzo [5 -9 4
Size in cents 27.659848¢
Names tetracot comma,
minimal diesis
Color name sy41, Saquadyo comma
FJS name [math]\text{A1}^{5,5,5,5}[/math]
Special properties reduced
Tenney height (log2 nd) 28.5524
Weil height (log2 max(n, d)) 28.5754
Wilson height (sopfr (nd)) 57
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.27651 bits
Comma size small
open this interval in xen-calc

20000/19683, the tetracot comma or minimal diesis, is a small comma of 27.660 cents which is the amount by which four minor whole tones exceed a fifth; that is, (10/9)^4/(3/2). Tempering it out leads to the tetracot family of temperaments.