37/36: Difference between revisions

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{{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]].

[[Category:Commas named after composers]][[Category:Commas named after their interval size]]

== 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]]

@@ Line 1: / Line 1: @@
 {{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]].
-[[Category:Commas named after composers]][[Category:Commas named after their interval size]]
+== 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]]