37/36: Difference between revisions
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'''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''', 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 composers]] | ||
[[Category:Commas named after their interval size]] | [[Category:Commas named after their interval size]] | ||
Latest revision as of 13:47, 12 July 2025
| Interval information |
reduced
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.