55/39 - Revision history

Overthink at 04:45, 5 October 2025

2025-10-05T04:45:34Z

← Older revision		Revision as of 04:45, 5 October 2025
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	}}		}}

	In [[13-limit]] [[just intonation]], '''55/39''' is the '''smaller gassormic tritone''', measuring about 595.1¢. It is [[275/273]] (gassorma, about 12.6¢) sharp of [[7/5]], and is the interval between [[13/11]] and [[5/3]]. Its inversion is the larger gassormic tritone, [[78/55]], and the interval that separates them is the small [[comma]] [[3042/3025]], about 9.7¢. This difference can be negligible, and tempering out this comma allows the 600¢ half-octave to function as both gassormic tritones. Thus, every even-numbered [[EDO]] system contains a close approximation to these intervals.		In [[13-limit]] [[just intonation]], '''55/39''' is the '''smaller gassormic tritone''', measuring about 595.1¢. It is [[275/273]] (gassorma, about 12.6¢) sharp of [[7/5]], and is the interval between [[13/11]] and [[5/3]], and also the sum of [[11/9]] and [[15/13]], intervals often equated to an exact neutral third and semifourth, respectively. It is also [[936/935]] flat of [[24/17]]. Its inversion is the larger gassormic tritone, [[78/55]], and the interval that separates them is the small [[comma]] [[3042/3025]], about 9.7¢. This difference can be negligible, and tempering out this comma allows the 600¢ half-octave to function as both gassormic tritones. Thus, every even-numbered [[EDO]] system contains a close approximation to these intervals.

	== See also ==		== See also ==

Plumtree: Normalising usage of Infobox Interval

2022-10-25T16:17:00Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 16:17, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 55/39~~
	~~\| Monzo = 0 -1 1 0 1 -1~~
	~~\| Cents = 595.14899~~
	\| Name = smaller gassormic tritone		\| Name = smaller gassormic tritone
	\| Color name = thuloyo 4th		\| Color name = thuloyo 4th
	~~\| FJS name = A4<sup>55</sup><sub>13</sub>~~
	}}		}}

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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:13-limit]]~~
	[[Category:Tritone]]		[[Category:Tritone]]

Xenllium at 13:22, 20 February 2022

2022-02-20T13:22:30Z

← Older revision		Revision as of 13:22, 20 February 2022
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	\| Monzo = 0 -1 1 0 1 -1		\| Monzo = 0 -1 1 0 1 -1
	\| Cents = 595.14899		\| Cents = 595.14899
	\| Name = ~~smaller tridecimal tritone<br>~~ smaller gassormic tritone		\| Name = smaller gassormic tritone
	\| Color name = thuloyo 4th		\| Color name = thuloyo 4th
	\| FJS name = A4<sup>55</sup><sub>13</sub>		\| FJS name = A4<sup>55</sup><sub>13</sub>
	}}		}}

	In [[13-limit]] [[just intonation]], '''55/39''' is the '''smaller ~~tridecimal~~ tritone''', measuring about 595.1¢. It is [[275/273]] (gassorma, about 12.6¢) sharp of [[7/5]], and is the interval between [[13/11]] and [[5/3]]. Its inversion is the larger ~~tridecimal~~ tritone, [[78/55]], and the interval that separates them is the small [[comma]] [[3042/3025]], about 9.7¢. This difference can be negligible, and tempering out this comma allows the 600¢ half-octave to function as both ~~tridecimal~~ tritones. Thus, every even-numbered [[EDO]] system contains a close approximation to these intervals.		In [[13-limit]] [[just intonation]], '''55/39''' is the '''smaller gassormic tritone''', measuring about 595.1¢. It is [[275/273]] (gassorma, about 12.6¢) sharp of [[7/5]], and is the interval between [[13/11]] and [[5/3]]. Its inversion is the larger gassormic tritone, [[78/55]], and the interval that separates them is the small [[comma]] [[3042/3025]], about 9.7¢. This difference can be negligible, and tempering out this comma allows the 600¢ half-octave to function as both gassormic tritones. Thus, every even-numbered [[EDO]] system contains a close approximation to these intervals.

	== See also ==		== See also ==

Xenllium at 12:53, 11 January 2022

2022-01-11T12:53:14Z

← Older revision		Revision as of 12:53, 11 January 2022
Line 8:		Line 8:
	}}		}}

	In [[13-limit]] [[just intonation]], '''55/39''' is the '''smaller tridecimal tritone''', measuring about 595.1¢. It is [[275/273]] (gassorma, about 12.6¢) sharp of [[7/5]], and is the interval between [[13/11]] and [[5/3]]. Its inversion is the larger tridecimal tritone, [[78/55]], and the interval that separates them is the small [[comma]] [[3042/3025]], about 9.7¢. This difference ~~is usually~~ negligible, and tempering out this comma allows the 600¢ half-octave to function as both tridecimal tritones. Thus, every even-numbered [[EDO]] system contains a close approximation to these intervals.		In [[13-limit]] [[just intonation]], '''55/39''' is the '''smaller tridecimal tritone''', measuring about 595.1¢. It is [[275/273]] (gassorma, about 12.6¢) sharp of [[7/5]], and is the interval between [[13/11]] and [[5/3]]. Its inversion is the larger tridecimal tritone, [[78/55]], and the interval that separates them is the small [[comma]] [[3042/3025]], about 9.7¢. This difference can be negligible, and tempering out this comma allows the 600¢ half-octave to function as both tridecimal tritones. Thus, every even-numbered [[EDO]] system contains a close approximation to these intervals.

	== See also ==		== See also ==

Xenllium: fixed typo

2022-01-11T12:49:10Z

fixed typo

← Older revision		Revision as of 12:49, 11 January 2022
Line 8:		Line 8:
	}}		}}

	In [[13-limit]] [[just intonation]], '''55/39''' is the '''smaller tridecimal tritone''', measuring about 595.1¢. It is [[275/273]] (gassorma, about 12.6¢) sharp of [[7/5]], and is the interval between [[13/11]] and [[5/3]]. Its inversion is the ~~smaller septendecimal~~ tritone, [[78/55]], and the interval that separates them is the small [[comma]] [[3042/3025]], about 9.7¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both tridecimal tritones. Thus, every even-numbered [[EDO]] system contains a close approximation to these intervals.		In [[13-limit]] [[just intonation]], '''55/39''' is the '''smaller tridecimal tritone''', measuring about 595.1¢. It is [[275/273]] (gassorma, about 12.6¢) sharp of [[7/5]], and is the interval between [[13/11]] and [[5/3]]. Its inversion is the larger tridecimal tritone, [[78/55]], and the interval that separates them is the small [[comma]] [[3042/3025]], about 9.7¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both tridecimal tritones. Thus, every even-numbered [[EDO]] system contains a close approximation to these intervals.

	== See also ==		== See also ==

Xenllium: Created page with "{{Infobox Interval | Ratio = 55/39 | Monzo = 0 -1 1 0 1 -1 | Cents = 595.14899 | Name = smaller tridecimal tritone
smaller gassormic tritone | Color name = thuloyo 4th | F..."

2022-01-11T12:37:27Z

Created page with "{{Infobox Interval | Ratio = 55/39 | Monzo = 0 -1 1 0 1 -1 | Cents = 595.14899 | Name = smaller tridecimal tritone smaller gassormic tritone | Color name = thuloyo 4th | F..."

New page

{{Infobox Interval
| Ratio = 55/39
| Monzo = 0 -1 1 0 1 -1
| Cents = 595.14899
| Name = smaller tridecimal tritone smaller gassormic tritone
| Color name = thuloyo 4th
| FJS name = A45513
}}

In [[13-limit]] [[just intonation]], '''55/39''' is the '''smaller tridecimal tritone''', measuring about 595.1¢. It is [[275/273]] (gassorma, about 12.6¢) sharp of [[7/5]], and is the interval between [[13/11]] and [[5/3]]. Its inversion is the smaller septendecimal tritone, [[78/55]], and the interval that separates them is the small [[comma]] [[3042/3025]], about 9.7¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both tridecimal tritones. Thus, every even-numbered [[EDO]] system contains a close approximation to these intervals.

== See also ==
* [[78/55]] – its [[octave complement]]
* [[Gallery of just intervals]]

[[Category:13-limit]]
[[Category:Tritone]]