37/36
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Ratio | 37/36 |
Subgroup monzo | 2.3.37 [-2 -2 1⟩ |
Size in cents | 47.434037¢ |
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 |
37/36, or the 31-limit Wyschnegradsky ~quartertone, is a 2.3.37 subgroup comma. It is the amount by which 37/32 (the 37th harmonic) exceeds the Pythagorean (major) whole tone of 9/8. It is significant in Helmholtz-Ellis notation as the formal comma to translate a Pythagorean interval to a nearby 37-limit (prefix???) [clarification needed ] interval.