37/36: Difference between revisions

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'''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???) interval.
'''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???){{clarify}} interval.

Revision as of 01:42, 14 October 2024

Interval information
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]\displaystyle{ \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
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.