4000/3993
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| Ratio | 4000/3993 |
| Monzo | [5 -1 3 0 -3⟩ |
| Size in cents | 3.03231 |
| Name(s) | wizardharry comma |
| Color name | Triluyo comma |
| open this interval in xen-calc | |
4000/3993, the wizardharry comma, is an unnoticeable 11-limit comma with a size of roughly 3.03 cents. It is the amount by which a stack of three 11/10 submajor seconds falls short of the 4/3 perfect fourth.
In terms of commas, it is the difference between 100/99 and 121/120, and between 540/539 and 9801/9800. It factors into 13-limit commas as (1575/1573)(2080/2079) or (625/624)(6656/6655).
Temperaments
Tempering it out means the fourth is divided into an equal stepped tetrachord, however, it does this by means equating a stack of three 11/10 intervals with 4/3, rather than by equating three 10/9 whole tones with 4/3 as in the porcupine family of temperaments, although 11-limit porcupine does both as 11/10 and 10/9 are equated.