37/36: Difference between revisions

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{~~| class="wikitable"~~

{{Infobox Interval

|+Interval ~~information~~

| Ratio = 37/36

|Ratio

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

|37/36

| Color name = 37o2, thiso 2nd

|-

}}

~~|[[Smonzos and svals|Subgroup monzo]]~~

'''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]].

~~|2.3.37 [-2 -2 1⟩~~

|-

== Notation ==

~~|Size in [[Cent|cents]]~~

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.

~~|47.434037¢~~

|-

== See also ==

~~|Names~~

* [[List of superparticular intervals]]

|37-limit Wyschnegradsky ~quartertone (HEJI)

|}

'''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.

@@ Line 1: / Line 1: @@
-{| class="wikitable"
+{{Infobox Interval
-|+Interval information
+| Ratio = 37/36
-|Ratio
+| Name = large tricesimoseptimal quartertone, 37-limit Wyschnegradsky ~quartertone (HEJI)
-|37/36
+| Color name = 37o2, thiso 2nd
-|-
+}}
-|[[Smonzos and svals|Subgroup monzo]]
+'''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]].
-|2.3.37 [-2 -2 1⟩
-|-
+== Notation ==
-|Size in [[Cent|cents]]
+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.
-|47.434037¢
-|-
+== See also ==
-|Names
+* [[List of superparticular intervals]]
-|37-limit Wyschnegradsky ~quartertone (HEJI)
-|}
-'''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.