37/36: Difference between revisions

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{{Infobox Interval

| Ratio = 37/36

| Name = 37-limit Wyschnegradsky ~quartertone (HEJI)

| Name = large tricesimoseptimal quartertone, 37-limit Wyschnegradsky ~quartertone (HEJI)

| Color name = 37o2, thiso 2nd

~~| Comma = yes~~

}}

'''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]].

'''37/36''', the '''large tricesimoseptimal''' ('''37-limit''') '''quartertone''', also known as the '''37-limit Wyschnegradsky ~quartertone''' in [[Helmholtz–Ellis notation]], is a [[37-limit]] (specifically 2.3.37-subgroup) [[quartertone]]. It is the amount by which the octave-reduced 37th harmonic [[37/32]] exceeds the Pythagorean (major) whole tone of [[9/8]]. It is wider than [[38/37]], the small tricesimoseptimal quartertone, by [[1369/1368]].

== 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.

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]]~~

== See also ==

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

* [[List of superparticular intervals]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
 | Ratio = 37/36
-| Name = 37-limit Wyschnegradsky ~quartertone (HEJI)
+| Name = large tricesimoseptimal quartertone, 37-limit Wyschnegradsky ~quartertone (HEJI)
 | Color name = 37o2, thiso 2nd
-| Comma = yes
 }}
-'''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]].
+'''37/36''', the '''large tricesimoseptimal''' ('''37-limit''') '''quartertone''', also known as the '''37-limit Wyschnegradsky ~quartertone''' in [[Helmholtz–Ellis notation]], is a [[37-limit]] (specifically 2.3.37-subgroup) [[quartertone]]. It is the amount by which the octave-reduced 37th harmonic [[37/32]] exceeds the Pythagorean (major) whole tone of [[9/8]]. It is wider than [[38/37]], the small tricesimoseptimal quartertone, by [[1369/1368]].
 == 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.
+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]]
+== See also ==
-[[Category:Commas named after their interval size]]
+* [[List of superparticular intervals]]