Semicomma
(Redirected from 2109375/2097152)
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| Ratio | 2109375/2097152 |
| Factorization | 2-21 × 33 × 57 |
| Monzo | [-21 3 7⟩ |
| Size in cents | 10.061¢ |
| Names | semicomma, orson comma, Fokker's comma |
| Color name | Ly7-3, Lasepyo comma |
| FJS name | [math]\text{dddd}{-3}^{5,5,5,5,5,5,5}[/math] |
| Special properties | reduced, reduced harmonic |
| Tenney height (log2 nd) | 42.0084 |
| Weil height (log2 max(n, d)) | 42.0168 |
| Wilson height (sopfr (nd)) | 86 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~2.08903 bits |
| Comma size | small |
| open this interval in xen-calc | |
The semicomma or Fokker's comma (ratio: 2109375/2097152, monzo: [-21 3 7⟩), is an interval of 10.061 cents which is the amount by which three classic augmented second intervals of 75/64 exceed 8/5. That means (75/64)3/(8/5), which can also be written ((9/8)(25/24))3/(8/5). In terms of commas, it factors into simpler commas as (15625/15552)(32805/32768), the kleisma and the schisma. Tempering it out leads to orson temperament.
See also
Intervals with the word "semicomma" in the name:
- Medium semicomma, aka sensipent comma
- Septimal semicomma, aka starling comma
- Semicomma majeur, aka kleisma