Gothic comma - Revision history

Eufalesio: Updated color notation

2026-05-01T14:47:39Z

Updated color notation

← Older revision		Revision as of 14:47, 1 May 2026
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	\| Ratio = 134217728/129140163		\| Ratio = 134217728/129140163
	\| Name = gothic comma, 17-comma, Pythagorean gothma, Pythagorean double-diminished third		\| Name = gothic comma, 17-comma, Pythagorean gothma, Pythagorean double-diminished third
	\| Color name = ssw3, sasawa 3rd,<br>~~Wa-17 comma~~		\| Color name = ssw3, sasawa 3rd,<br>17wM, sewama
	\| Comma = yes		\| Comma = yes
	}}		}}

Overthink: /* Temperaments */ use 136 as upper bound since it actually supports it

2026-03-12T22:40:10Z

Temperaments: use 136 as upper bound since it actually supports it

← Older revision		Revision as of 22:40, 12 March 2026
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	== Temperaments ==		== Temperaments ==
	Tempering out this comma in the 5-limit leads to the [[gothic]] temperament. For edos up to ~~152~~ the comma is tempered out if and only if 17 divides it, for example [[17edo]], [[34edo]] or [[68edo]].		Tempering out this comma in the 5-limit leads to the [[gothic]] temperament. For edos up to [[136edo\|136]], the comma is tempered out if and only if 17 divides it, for example [[17edo]], [[34edo]] or [[68edo]].

	== Terminology ==		== Terminology ==

FloraC: Undo revision 211173 by M1k1 H2tsun2 (talk)

2025-09-27T12:00:46Z

Undo revision 211173 by M1k1 H2tsun2 (talk)

← Older revision		Revision as of 12:00, 27 September 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 134217728/129140163		\| Ratio = 134217728/129140163
	\| Name = ~~Threerish 17-tone's comma,~~ gothic comma, 17-comma, Pythagorean gothma, Pythagorean double-diminished third		\| Name = gothic comma, 17-comma, Pythagorean gothma, Pythagorean double-diminished third
	\| Color name = ssw3, sasawa 3rd,<br>Wa-17 comma		\| Color name = ssw3, sasawa 3rd,<br>Wa-17 comma
	\| Comma = yes		\| Comma = yes

M1k1 H2tsun2: add it them

2025-09-27T11:56:14Z

add it them

← Older revision		Revision as of 11:56, 27 September 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 134217728/129140163		\| Ratio = 134217728/129140163
	\| Name = gothic comma, 17-comma, Pythagorean gothma, Pythagorean double-diminished third		\| Name = Threerish 17-tone's comma, gothic comma, 17-comma, Pythagorean gothma, Pythagorean double-diminished third
	\| Color name = ssw3, sasawa 3rd,<br>Wa-17 comma		\| Color name = ssw3, sasawa 3rd,<br>Wa-17 comma
	\| Comma = yes		\| Comma = yes

BudjarnLambeth at 08:03, 3 November 2024

2024-11-03T08:03:39Z

← Older revision		Revision as of 08:03, 3 November 2024
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[Medium comma]]		* [[Medium comma]]

			[[Category:Commas named for other reasons]]

BudjarnLambeth: BudjarnLambeth moved page 17-comma to Gothic comma over redirect: Prioritise common name

2024-10-25T11:27:22Z

BudjarnLambeth moved page 17-comma to Gothic comma over redirect: Prioritise common name

← Older revision	Revision as of 11:27, 25 October 2024
(No difference)

BudjarnLambeth: Prioritise common name

2024-10-25T11:26:58Z

Prioritise common name

← Older revision		Revision as of 11:26, 25 October 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 134217728/129140163		\| Ratio = 134217728/129140163
	\| Name = 17-~~comma, gothic~~ comma, Pythagorean gothma, Pythagorean double-diminished third		\| Name = gothic comma, 17-comma, Pythagorean gothma, Pythagorean double-diminished third
	\| Color name = ssw3, sasawa 3rd,<br>Wa-17 comma		\| Color name = ssw3, sasawa 3rd,<br>Wa-17 comma
	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''~~17-~~comma''', otherwise known as the '''~~gothic~~ comma''' or '''Pythagorean gothma''' ({{monzo\|legend=1\| 27 -17 }}, [[ratio]]: 134217728/129140163), is a [[3-limit]] interval of 66.765{{cent}}. It is the amount by which seventeen [[perfect fifth]]s fall short of ten [[octave]]s, or 2<sup>10</sup>/(3/2)<sup>17</sup>. If used as an interval in its own right, it is the '''Pythagorean double-diminished third'''.		The '''gothic comma''', otherwise known as the '''17-comma''' or '''Pythagorean gothma''' ({{monzo\|legend=1\| 27 -17 }}, [[ratio]]: 134217728/129140163), is a [[3-limit]] interval of 66.765{{cent}}. It is the amount by which seventeen [[perfect fifth]]s fall short of ten [[octave]]s, or 2<sup>10</sup>/(3/2)<sup>17</sup>. If used as an interval in its own right, it is the '''Pythagorean double-diminished third'''.

	== Temperaments ==		== Temperaments ==

VectorGraphics at 18:50, 27 August 2024

2024-08-27T18:50:41Z

← Older revision		Revision as of 18:50, 27 August 2024
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	# the [[neogothic]] tuning available in 17edo, and		# the [[neogothic]] tuning available in 17edo, and
	# the link of [[TAMNAMS Extension]] name and comma names by the analogy pair gothic : pytha<u>go</u>tonic :: mystery : pytha<u>mys</u>tonic.		# the link of [[TAMNAMS Extension]] name and comma names by the analogy pair gothic : pytha<u>go</u>tonic :: mystery : pytha<u>mys</u>tonic.
			Additionally, by coincidence, the term "gothic" fits into the naming scheme of the [[comptonesque]] temperament collection, representing Vector's project Not!Earth in which the Goths are a major culture group.

	The second term ''Pythagorean gothma'' is part of a series of step names in the [[Pythagorean tuning\|Pythagorean]] [[diatonic scale]], where ''gothma'' (adjective: ''gothmic'') refers to the double diminished 2-step, i.e. \|3s - L\|.		The second term ''Pythagorean gothma'' is part of a series of step names in the [[Pythagorean tuning\|Pythagorean]] [[diatonic scale]], where ''gothma'' (adjective: ''gothmic'') refers to the double diminished 2-step, i.e. \|3s - L\|.

Fredg999: Internal link

2024-07-25T20:42:51Z

Internal link

← Older revision		Revision as of 20:42, 25 July 2024
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	== Terminology ==		== Terminology ==
	The names were given by [[Flora Canou]] in 2023. The first term ''gothic comma'' draws two inspirations:		The names were given by [[Flora Canou]] in 2023. The first term ''gothic comma'' draws two inspirations:
	# the neogothic tuning available in 17edo, and		# the [[neogothic]] tuning available in 17edo, and
	# the link of [[TAMNAMS Extension]] name and comma names by the analogy pair gothic : pytha<u>go</u>tonic :: mystery : pytha<u>mys</u>tonic.		# the link of [[TAMNAMS Extension]] name and comma names by the analogy pair gothic : pytha<u>go</u>tonic :: mystery : pytha<u>mys</u>tonic.

FloraC: +alt name and clarify

2024-07-25T10:33:28Z

+alt name and clarify

← Older revision		Revision as of 10:33, 25 July 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 134217728/129140163		\| Ratio = 134217728/129140163
	\| Name = 17-comma, gothic comma, Pythagorean gothma		\| Name = 17-comma, gothic comma, Pythagorean gothma, Pythagorean double-diminished third
	\| Color name = ssw3, sasawa 3rd,<br>Wa-17 comma		\| Color name = ssw3, sasawa 3rd,<br>Wa-17 comma
	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''17-comma''', otherwise known as the '''gothic comma''' or '''Pythagorean gothma''' ({{monzo\|legend=1\| 27 -17 }}, [[ratio]]: 134217728/129140163), is an interval of 66.765{{cent}}. It is the amount by which seventeen [[perfect fifth]]s fall short of ten [[octave]]s, or 2<sup>10</sup>/(3/2)<sup>17</sup>.		The '''17-comma''', otherwise known as the '''gothic comma''' or '''Pythagorean gothma''' ({{monzo\|legend=1\| 27 -17 }}, [[ratio]]: 134217728/129140163), is a [[3-limit]] interval of 66.765{{cent}}. It is the amount by which seventeen [[perfect fifth]]s fall short of ten [[octave]]s, or 2<sup>10</sup>/(3/2)<sup>17</sup>. If used as an interval in its own right, it is the '''Pythagorean double-diminished third'''.

	== Temperaments ==		== Temperaments ==
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	# the link of [[TAMNAMS Extension]] name and comma names by the analogy pair gothic : pytha<u>go</u>tonic :: mystery : pytha<u>mys</u>tonic.		# the link of [[TAMNAMS Extension]] name and comma names by the analogy pair gothic : pytha<u>go</u>tonic :: mystery : pytha<u>mys</u>tonic.

	The second term ''Pythagorean gothma'' is part of a series of step names in the [[Pythagorean tuning\|Pythagorean]] [[diatonic scale]], where ''gothma'' refers to the double diminished 2-step, i.e. \|3s - L\|.		The second term ''Pythagorean gothma'' is part of a series of step names in the [[Pythagorean tuning\|Pythagorean]] [[diatonic scale]], where ''gothma'' (adjective: ''gothmic'') refers to the double diminished 2-step, i.e. \|3s - L\|.

	== See also ==		== See also ==
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[Medium comma]]		* [[Medium comma]]