[1][2][3] In 12-tone equal temperament, three major thirds add up to an octave, since it tempers the interval 128/125 to a unison.
In magic temperament, this comma is not tempered away, and the sequence of notes separated by major thirds continues indefinitely.
Instead of 128/125, 3125/3072 vanishes in magic temperament, where each 5/4 major third is made slightly narrow (about 380 cents (Playⓘ)), so that five of them add up to an approximate 3/1 (an octave plus a perfect fifth).
A chain of these thirds can be used to generate a 7-tone scale with the following interval distribution (given in cents): Note that this represents only one possible tuning of magic temperament.
If the sequence of major thirds is continued, the next moments of symmetry are at 10-, 13-, and 16-tone scales.