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Interval information
Ratio 70368744177664/68630377364883
Factorization 246 × 3-29
Monzo [46 -29
Size in cents 43.304975¢
Names 29-comma,
mystery comma
Color name Wa-29, s4w4
FJS name [math]\text{dddd4}[/math]
Special properties reduced
Tenney height (log2 nd) 91.9639
Weil height (log2 max(n, d)) 92
Wilson height (sopfr (nd)) 179
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.76857 bits
Comma size medium
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.


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.

See also