37/36: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
|Ratio = 37/36
| Ratio = 37/36
|Name = 37-limit Wyschnegradsky ~quartertone (HEJI)
| Name = 37-limit Wyschnegradsky ~quartertone (HEJI)
|Color name = 37o2, thiso 2nd
| Color name = 37o2, thiso 2nd
|Comma = yes
| Comma = yes
}}
}}
'''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.
'''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]].  
 
== Notation ==
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 adapted from the demiflat in [[Ivan Wyschnegradsky]]'s [[72edo]] notation, whereas the upward version is a simple inverse of the downward version.
 
[[Category:Commas named after composers]]
[[Category:Commas named after their interval size]]