37/36: Difference between revisions
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+ name similar to 32/31. It's dumb to consider this a comma |
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{ | {{Infobox Interval | ||
| Ratio = 37/36 | |||
|Ratio | | Name = large tricesimoseptimal quartertone, 37-limit Wyschnegradsky ~quartertone (HEJI) | ||
| Color name = 37o2, thiso 2nd | |||
| | }} | ||
'''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. | |||
== See also == | |||
* [[List of superparticular intervals]] | |||
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'''37/36''', | |||
Latest revision as of 08:17, 3 March 2026
| Interval information |
37-limit Wyschnegradsky ~quartertone (HEJI)
reduced
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.