648/625
(Redirected from Diminished comma)
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| Ratio | 648/625 |
| Factorization | 23 × 34 × 5-4 |
| Monzo | [3 4 -4⟩ |
| Size in cents | 62.565148¢ |
| Names | diminished comma, major diesis |
| Color name | g42, quadgu 2nd, Quadgu comma |
| FJS name | [math]\text{d2}_{5,5,5,5}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 18.6276 |
| Weil height (log2 max(n, d)) | 18.6797 |
| Wilson height (sopfr(nd)) | 38 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.38126 bits |
| Comma size | medium |
[sound info] | |
| open this interval in xen-calc | |
The interval 648/625 is known as the diminished comma or major diesis. It is the amount by which four 6/5 minor thirds exceed an octave, in other words (6/5)4 / 2.
Approximations
This interval is approximately one step of 19edo, which is the amount by which four 19edo minor thirds exceed an octave.
Temperaments
Tempering out this comma leads to the 5-limit diminished temperament.