Semicomma

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Interval information
Ratio 2109375/2097152
Factorization 2-21 × 33 × 57
Monzo [-21 3 7
Size in cents 10.061¢
Names semicomma,
Fokker 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 n⋅d) 42.0084
Weil height (max(n, d)) 2109375
Benedetti height (n⋅d) 4423680000000
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.80772 bits
Comma size small
open this interval in xen-calc

The semicomma or Fokker 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: