37/36
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Ratio
37/36
Subgroup monzo
2.3.37 [-2 -2 1⟩
Size in cents
47.43404¢
Name
37-limit Wyschnegradsky ~quartertone (HEJI)
Color name
37o2, thiso 2nd
FJS name
[math]\text{P1}^{37}[/math]
Special properties
superparticular,
reduced
Tenney height (log2 nd)
10.3794
Weil height (log2 max(n, d))
10.4189
Wilson height (sopfr(nd))
47
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.48883 bits
Comma size
medium
open this interval in xen-calc
| Interval information |
reduced
(Shannon, [math]\sqrt{nd}[/math])
37/36, or the 37-limit Wyschnegradsky ~quartertone, is a 2.3.37 subgroup comma. It is the amount by which the octave-reduced 37th harmonic 37/32 exceeds the Pythagorean (major) whole tone of 9/8.
This interval is significant in the Functional Just System and Helmholtz-Ellis notation as the formal comma to translate a Pythagorean interval to a nearby tricesimoseptimal (37-limit) interval. In Helmholtz-Ellis notation, the symbol for the downward version of this interval is virtually identical to the demiflat in Ivan Wyschnegradsky's 72edo notation.