261/256
Jump to navigation
Jump to search
Ratio
261/256
Subgroup monzo
2.3.29 [-8 2 1⟩
Size in cents
33.4872¢
Names
vicesimononal comma,
29-limit ~sixth tone (HEJI)
Color name
29o1, tweno unison
FJS name
[math]\text{P1}^{29}[/math]
Special properties
reduced,
reduced harmonic
Tenney height (log2 nd)
16.0279
Weil height (log2 max(n, d))
16.0558
Wilson height (sopfr(nd))
51
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.50549 bits
Comma size
medium
open this interval in xen-calc
| Interval information |
29-limit ~sixth tone (HEJI)
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
261/256, the vicesimononal comma, or the 29-limit ~sixth tone as is known in Helmholtz-Ellis notation, is a medium 2.3.29 subgroup comma. It is the amount by which 29/16 (the octave-reduced 29th harmonic) exceeds the Pythagorean minor seventh (16/9). It is significant in Helmholtz-Ellis notation and Functional Just System as the formal comma to translate a Pythagorean interval to a nearby undetricesimal interval.