Tetracot comma

Revision as of 02:19, 4 December 2022 by TallKite (talk | contribs) (added color name)
Interval information
Ratio 20000/19683
Factorization 25 × 3-9 × 54
Monzo [5 -9 4
Size in cents 27.65985¢
Names tetracot comma,
minimal diesis
Color name sy41, Saquadyo comma
FJS name [math]\displaystyle{ \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
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.