37/36: Difference between revisions

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{~~| class="wikitable"~~

{{Infobox Interval

|+Interval ~~information~~

| Ratio = 37/36

|Ratio

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

|37/36

| Color name = 37o2, thiso 2nd

|-

| Comma = yes

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

}}

~~|2.3.37 [-2 -2 1⟩~~

'''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]].

|-

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

== Notation ==

~~|47.434037¢~~

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.

|-

~~|Names~~

[[Category:Commas named after composers]]

|37-limit Wyschnegradsky ~quartertone (HEJI)

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

|}

'''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 = 37-limit Wyschnegradsky ~quartertone (HEJI)
-|37/36
+| Color name = 37o2, thiso 2nd
-|-
+| Comma = yes
-|[[Smonzos and svals|Subgroup monzo]]
+}}
-|2.3.37 [-2 -2 1⟩
+'''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]].
-|-
-|Size in [[Cent|cents]]
+== Notation ==
-|47.434037¢
+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.
-|-
-|Names
+[[Category:Commas named after composers]]
-|37-limit Wyschnegradsky ~quartertone (HEJI)
+[[Category:Commas named after their interval size]]
-|}
-'''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.