Semicomma
(Redirected from 2109375/2097152)
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Ratio | 2109375/2097152 |
Factorization | 2^{-21} × 3^{3} × 5^{7} |
Monzo | [-21 3 7⟩ |
Size in cents | 10.061¢ |
Names | semicomma, orson comma, Fokker's comma |
Color name | Ly^{7}-3, Lasepyo comma |
FJS name | [math]\text{dddd}{-3}^{5,5,5,5,5,5,5}[/math] |
Special properties | reduced, reduced harmonic |
Tenney height (log_{2} nd) | 42.0084 |
Weil height (log_{2} 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