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Interval information
Ratio 225/224
Monzo [-5 2 2 -1
Size in cents 7.71152
Name(s) septimal kleisma,
marvel comma
Color name ryy-2, ruyoyo negative 2nd,
Ruyoyo comma
FJS name d-2257
open this interval in xen-calc
English Wikipedia has an article on:

The interval of 225/224, the septimal kleisma or marvel comma is a 7-limit superparticular ratio. It pops up as the difference between pairs of 7-limit ratios, for example as (15/14)/(16/15) or (45/32)/(7/5). It is also the difference between 81/80 and 126/125 and is tempered out alongside these two commas in Septimal meantone. If we don't temper out this interval and instead repeatedly stack (and octave-reduce) it, we get 311edo, where it is equal to 2 steps, meaning 311edo is a circle of 225/224's. Note that this is not true for 226/225 or 224/223, the adjacent superparticulars, as they accumulate too much error to close into a circle in 311edo.


Tempering out this comma leads to the marvel family of temperaments, which enables marvel chords.

See also