Tetracot comma: Difference between revisions

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| Ratio = 20000/19683
| Ratio = 20000/19683
| Name = tetracot comma, minimal diesis
| Name = tetracot comma, minimal diesis
| Color name = sy<sup>4</sup>1, Saquadyo comma
| Comma = yes
| Comma = yes
}}
}}

Revision as of 02:19, 4 December 2022

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.