29-comma
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Ratio | 70 368 744 177 664 / 68 630 377 364 883 |
Monzo | [46 -29⟩ |
Size in cents | 43.30497 |
Name(s) | 29-comma, mystery comma |
Color name | s4w4 |
open this interval in xen-calc |
[46 -29⟩, the 29-comma or mystery comma of 43.305 cents, is the difference between 46 octaves and 29 fifths, in other words 246/329.
Temperaments
Tempering out this comma splits the octave into 29 equal parts and maps the harmonic 3 to 17\29, leading to the 5-limit version of mystery temperament. For EDOs up to 400, the 29-comma is tempered out if and only if 29 divides it, for example 29edo, 58edo or 87edo.