37/36 - Revision history

FloraC: + name similar to 32/31. It's dumb to consider this a comma

2026-03-03T08:17:24Z

+ name similar to 32/31. It's dumb to consider this a comma

← Older revision		Revision as of 08:17, 3 March 2026
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	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 37/36		\| Ratio = 37/36
	\| Name = 37-limit Wyschnegradsky ~quartertone (HEJI)		\| Name = large tricesimoseptimal quartertone, 37-limit Wyschnegradsky ~quartertone (HEJI)
	\| Color name = 37o2, thiso 2nd		\| 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 ==		== 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]]

FloraC: Clarify

2025-07-12T13:47:11Z

Clarify

← Older revision		Revision as of 13:47, 12 July 2025
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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]].

	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 ~~virtually identical to~~ the demiflat in [[Ivan Wyschnegradsky]]'s [[72edo]] notation.		== 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]]

FloraC: +short explanation on its look in HEJI and hopefully this helps to understand the current name

2024-11-28T18:01:40Z

+short explanation on its look in HEJI and hopefully this helps to understand the current name

← Older revision		Revision as of 18:01, 28 November 2024
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	\| Comma = yes		\| 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]]. It 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.		'''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]].

			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 virtually identical to the demiflat in [[Ivan Wyschnegradsky]]'s [[72edo]] notation.

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

FloraC: +significance in FJS

2024-11-28T17:17:09Z

+significance in FJS

← Older revision		Revision as of 17:17, 28 November 2024
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	\| Comma = yes		\| 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]]. It is significant in [[Helmholtz-Ellis notation]] as the formal comma to translate a Pythagorean interval to a nearby tricesimoseptimal (37-limit) interval.		'''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]]. It 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.

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

FloraC: Cleanup

2024-11-28T17:15:54Z

Cleanup

← Older revision		Revision as of 17:15, 28 November 2024
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	{{Infobox Interval		{{Infobox Interval
	\|Ratio = 37/36		\| Ratio = 37/36
	\|Name = 37-limit Wyschnegradsky ~quartertone (HEJI)		\| Name = 37-limit Wyschnegradsky ~quartertone (HEJI)
	\|Color name = 37o2, thiso 2nd		\| Color name = 37o2, thiso 2nd
	\|Comma = yes		\| Comma = yes
	}}		}}
	'''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???~~)~~{{clarify}}~~ interval.		'''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]]. It is significant in [[Helmholtz-Ellis notation]] as the formal comma to translate a Pythagorean interval to a nearby tricesimoseptimal (37-limit) interval.

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

BudjarnLambeth at 02:07, 4 November 2024

2024-11-04T02:07:30Z

← Older revision		Revision as of 02:07, 4 November 2024
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	'''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???){{clarify}} interval.		'''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???){{clarify}} interval.

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

BudjarnLambeth at 07:30, 3 November 2024

2024-11-03T07:30:02Z

← Older revision		Revision as of 07:30, 3 November 2024
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	}}		}}
	'''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???){{clarify}} interval.		'''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???){{clarify}} interval.

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

BudjarnLambeth: clarify

2024-10-14T01:42:29Z

clarify

← Older revision		Revision as of 01:42, 14 October 2024
Line 5:		Line 5:
	\|Comma = yes		\|Comma = yes
	}}		}}
	'''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.		'''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???){{clarify}} interval.

Francium: Added Infobox Interval

2023-09-24T10:04:26Z

Added Infobox Interval

← Older revision		Revision as of 10:04, 24 September 2023
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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⟩~~
	\|-
	~~\|Size in [[Cent\|cents]]~~
	~~\|47.434037¢~~
	\|-
	~~\|Names~~
	\|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.		'''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.

Stephen Weigel: Created for HEJI

2023-09-24T03:44:33Z

Created for HEJI

New page

{| class="wikitable"
|+Interval information
|Ratio
|37/36
|-
|[[Smonzos and svals|Subgroup monzo]]
|2.3.37 [-2 -2 1⟩
|-
|Size in [[Cent|cents]]
|47.434037¢
|-
|Names
|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.