Sinarabian comma - Revision history

Aura at 17:44, 20 January 2025

2025-01-20T17:44:30Z

← Older revision		Revision as of 17:44, 20 January 2025
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	The '''Sinarabian comma''' is an [[13-limit]] (also 2.3.11.13 subgroup) [[unnoticeable comma]] with a ratio of '''85293/85184''' and a value of approximately 2 cents.		The '''Sinarabian comma''' is an [[13-limit]] (also 2.3.11.13 subgroup) [[unnoticeable comma]] with a ratio of '''85293/85184''' and a value of approximately 2.2 cents.

	This comma is identifiable as the amount by which a stack of two [[88/81]] artoneutral seconds falls short of a [[13/11]] Neo-Gothic minor third, and also the amount by which a stack of three [[11/9]] artoneutral thirds fall short of [[117/64]], the amount by which a stack of three [[27/22]] tendoneutral thirds exceed [[24/13]], and even the comma that separates [[1053/1024]] and [[1331/1296]].		This comma is identifiable as the amount by which a stack of two [[88/81]] artoneutral seconds falls short of a [[13/11]] Neo-Gothic minor third, and also the amount by which a stack of three [[11/9]] artoneutral thirds fall short of [[117/64]], the amount by which a stack of three [[27/22]] tendoneutral thirds exceed [[24/13]], and even the comma that separates [[1053/1024]] and [[1331/1296]].

Aura: Adding more of the implications and details that Margo Schulter found- paraphrasing the text myself in the process

2025-01-20T17:40:20Z

Adding more of the implications and details that Margo Schulter found- paraphrasing the text myself in the process

@@ Line 8: / Line 8: @@
 The '''Sinarabian comma''' is an [[13-limit]] (also 2.3.11.13 subgroup) [[unnoticeable comma]] with a ratio of '''85293/85184''' and a value of approximately 2 cents.
-This comma is identifiable as the amount by which a stack of two [[88/81]] artoneutral seconds falls short of a [[13/11]] Neo-Gothic minor third, and also the amount by which a stack of three [[11/9]] artoneutral thirds fall short of [[117/64]], and even the comma that separates [[1053/1024]] and [[1331/1296]].
+This comma is identifiable as the amount by which a stack of two [[88/81]] artoneutral seconds falls short of a [[13/11]] Neo-Gothic minor third, and also the amount by which a stack of three [[11/9]] artoneutral thirds fall short of [[117/64]], the amount by which a stack of three [[27/22]] tendoneutral thirds exceed [[24/13]], and even the comma that separates [[1053/1024]] and [[1331/1296]].
 In terms of comma relations, it separates [[243/242]] from [[352/351]], separates [[144/143]] from a stack of two instances of 243/242, and, is the sum of the [[frameshift comma]] and the [[tridecapyth comma]].
@@ Line 29: / Line 29: @@
 .910c--138.573c---155.562c
-In effect, the Sinarabian comma serves as a kind of bridge between these two tetrachords and tunings, hence its name.  More details to come.
+In effect, the Sinarabian comma serves as a kind of bridge between these two tetrachords and tunings, hence its name.  However, there's more that happens as a result of the relationship that the Sinarabian comma has to both the rastma and the major minthma.
 [[Category:Commas named after polymaths]]

Aura at 17:09, 17 January 2025

2025-01-17T17:09:59Z

← Older revision		Revision as of 17:09, 17 January 2025
Line 15:		Line 15:
	The name of this comma comes from a portmanteau of "Ibn Sina" and "Alpharabian", and was given by [[Aura]] on the basis of a series of connections between intervals that he found and shared with [[Margo Schulter]], who took note of the following implications, here paraphrased in part by Aura.		The name of this comma comes from a portmanteau of "Ibn Sina" and "Alpharabian", and was given by [[Aura]] on the basis of a series of connections between intervals that he found and shared with [[Margo Schulter]], who took note of the following implications, here paraphrased in part by Aura.

	One of the major commatic relations is between the rastma (243/242) on one hand, which occurs in the tuning of the mode of Zalzal by [[Wikipedia: al-Farabi\|al-Farabi]] (c. 870-950) as the distinction between his steps of [[12/11]] (150.637c) and the smaller 88/81 (143.498c), and, on the other hand, the major minthma (352/351, 4.925c) described by [[Wikipedia: Avicenna\|Ibn Sina]] (c.980-1037) in noting the "resemblance" between certain complex superpartient ratios and nearby simpler superparticular ratios, e.g. 128/117 (155.562c) and the simpler 12/11, or 88/81 and the simpler 13/12 (138.573c). These comparisons relate to the adjacent intervals included in the [[~~tetrachords~~]] al-Farabi and Ibn Sina favor to realize the 'oudist Mansur Zalzal's tuning favoring a middle third:		One of the major commatic relations is between the rastma (243/242) on one hand, which occurs in the tuning of the mode of Zalzal by [[Wikipedia: al-Farabi\|al-Farabi]] (c. 870-950) as the distinction between his steps of [[12/11]] (150.637c) and the smaller 88/81 (143.498c), and, on the other hand, the major minthma (352/351, 4.925c) described by [[Wikipedia: Avicenna\|Ibn Sina]] (c.980-1037) in noting the "resemblance" between certain complex superpartient ratios and nearby simpler superparticular ratios, e.g. 128/117 (155.562c) and the simpler 12/11, or 88/81 and the simpler 13/12 (138.573c). These comparisons relate to the adjacent intervals included in the [[tetrachord]]s al-Farabi and Ibn Sina favor to realize the 'oudist Mansur Zalzal's tuning favoring a middle third:

	Al-Farabi:		Al-Farabi:

Aura at 17:09, 17 January 2025

2025-01-17T17:09:44Z

← Older revision		Revision as of 17:09, 17 January 2025
Line 15:		Line 15:
	The name of this comma comes from a portmanteau of "Ibn Sina" and "Alpharabian", and was given by [[Aura]] on the basis of a series of connections between intervals that he found and shared with [[Margo Schulter]], who took note of the following implications, here paraphrased in part by Aura.		The name of this comma comes from a portmanteau of "Ibn Sina" and "Alpharabian", and was given by [[Aura]] on the basis of a series of connections between intervals that he found and shared with [[Margo Schulter]], who took note of the following implications, here paraphrased in part by Aura.

	One of the major commatic relations is between the rastma (243/242) on one hand, which occurs in the tuning of the mode of Zalzal by [[Wikipedia: al-Farabi\|al-Farabi]] (c. 870-950) as the distinction between his steps of [[12/11]] (150.637c) and the smaller 88/81 (143.498c), and, on the other hand, the major minthma (352/351, 4.925c) described by [[Wikipedia: Avicenna\|Ibn Sina]] (c.980-1037) in noting the "resemblance" between certain complex superpartient ratios and nearby simpler superparticular ratios, e.g. 128/117 (155.562c) and the simpler 12/11, or 88/81 and the simpler 13/12 (138.573c). These comparisons relate to the adjacent intervals included in the tetrachords al-Farabi and Ibn Sina favor to realize the 'oudist Mansur Zalzal's tuning favoring a middle third:		One of the major commatic relations is between the rastma (243/242) on one hand, which occurs in the tuning of the mode of Zalzal by [[Wikipedia: al-Farabi\|al-Farabi]] (c. 870-950) as the distinction between his steps of [[12/11]] (150.637c) and the smaller 88/81 (143.498c), and, on the other hand, the major minthma (352/351, 4.925c) described by [[Wikipedia: Avicenna\|Ibn Sina]] (c.980-1037) in noting the "resemblance" between certain complex superpartient ratios and nearby simpler superparticular ratios, e.g. 128/117 (155.562c) and the simpler 12/11, or 88/81 and the simpler 13/12 (138.573c). These comparisons relate to the adjacent intervals included in the [[tetrachords]] al-Farabi and Ibn Sina favor to realize the 'oudist Mansur Zalzal's tuning favoring a middle third:

	Al-Farabi:		Al-Farabi:

Aura at 17:09, 17 January 2025

2025-01-17T17:09:21Z

← Older revision		Revision as of 17:09, 17 January 2025
Line 15:		Line 15:
	The name of this comma comes from a portmanteau of "Ibn Sina" and "Alpharabian", and was given by [[Aura]] on the basis of a series of connections between intervals that he found and shared with [[Margo Schulter]], who took note of the following implications, here paraphrased in part by Aura.		The name of this comma comes from a portmanteau of "Ibn Sina" and "Alpharabian", and was given by [[Aura]] on the basis of a series of connections between intervals that he found and shared with [[Margo Schulter]], who took note of the following implications, here paraphrased in part by Aura.

	One of the major commatic relations is between the rastma (243/242) on one hand, which occurs in the tuning of the mode of Zalzal by [[Wikipedia: al-Farabi\|al-Farabi]] (c. 870-950) as the distinction between his steps of [[12/11]] (150.637c) and the smaller 88/81 (143.498c), and, on the other hand, the major minthma (352/351, 4.925c) described by [[Wikipedia: Avicenna\|Ibn Sina]] (c.980-1037) in noting the "resemblance" between certain complex superpartient ratios and nearby simpler superparticular ratios, e.g. 128/117 (155.562c) and the simpler 12/11, or 88/81 and the simpler 13/12 (138.573c). These comparisons relate to the adjacent intervals included in the ~~tetrachrds~~ al-Farabi and Ibn Sina favor to realize the 'oudist Mansur Zalzal's tuning favoring a middle third:		One of the major commatic relations is between the rastma (243/242) on one hand, which occurs in the tuning of the mode of Zalzal by [[Wikipedia: al-Farabi\|al-Farabi]] (c. 870-950) as the distinction between his steps of [[12/11]] (150.637c) and the smaller 88/81 (143.498c), and, on the other hand, the major minthma (352/351, 4.925c) described by [[Wikipedia: Avicenna\|Ibn Sina]] (c.980-1037) in noting the "resemblance" between certain complex superpartient ratios and nearby simpler superparticular ratios, e.g. 128/117 (155.562c) and the simpler 12/11, or 88/81 and the simpler 13/12 (138.573c). These comparisons relate to the adjacent intervals included in the tetrachords al-Farabi and Ibn Sina favor to realize the 'oudist Mansur Zalzal's tuning favoring a middle third:

	Al-Farabi:		Al-Farabi:

Aura at 16:21, 17 January 2025

2025-01-17T16:21:04Z

← Older revision		Revision as of 16:21, 17 January 2025
Line 16:		Line 16:

	One of the major commatic relations is between the rastma (243/242) on one hand, which occurs in the tuning of the mode of Zalzal by [[Wikipedia: al-Farabi\|al-Farabi]] (c. 870-950) as the distinction between his steps of [[12/11]] (150.637c) and the smaller 88/81 (143.498c), and, on the other hand, the major minthma (352/351, 4.925c) described by [[Wikipedia: Avicenna\|Ibn Sina]] (c.980-1037) in noting the "resemblance" between certain complex superpartient ratios and nearby simpler superparticular ratios, e.g. 128/117 (155.562c) and the simpler 12/11, or 88/81 and the simpler 13/12 (138.573c). These comparisons relate to the adjacent intervals included in the tetrachrds al-Farabi and Ibn Sina favor to realize the 'oudist Mansur Zalzal's tuning favoring a middle third:		One of the major commatic relations is between the rastma (243/242) on one hand, which occurs in the tuning of the mode of Zalzal by [[Wikipedia: al-Farabi\|al-Farabi]] (c. 870-950) as the distinction between his steps of [[12/11]] (150.637c) and the smaller 88/81 (143.498c), and, on the other hand, the major minthma (352/351, 4.925c) described by [[Wikipedia: Avicenna\|Ibn Sina]] (c.980-1037) in noting the "resemblance" between certain complex superpartient ratios and nearby simpler superparticular ratios, e.g. 128/117 (155.562c) and the simpler 12/11, or 88/81 and the simpler 13/12 (138.573c). These comparisons relate to the adjacent intervals included in the tetrachrds al-Farabi and Ibn Sina favor to realize the 'oudist Mansur Zalzal's tuning favoring a middle third:



	Al-Farabi:		Al-Farabi:

Aura at 16:19, 17 January 2025

2025-01-17T16:19:59Z

← Older revision		Revision as of 16:19, 17 January 2025
Line 13:		Line 13:

	== Etymology and Implications ==		== Etymology and Implications ==
	The name of this comma comes from a portmanteau of "Ibn Sina" and "Alpharabian", and was given by [[Aura]] on the basis of a series of connections between intervals that he found and shared with [[Margo Schulter]], who took note of the following implications, here paraphrased ~~here~~ in part by Aura.		The name of this comma comes from a portmanteau of "Ibn Sina" and "Alpharabian", and was given by [[Aura]] on the basis of a series of connections between intervals that he found and shared with [[Margo Schulter]], who took note of the following implications, here paraphrased in part by Aura.

	One of the major commatic relations is between the rastma (243/242) on one hand, which occurs in the tuning of the mode of Zalzal by [[Wikipedia: al-Farabi\|al-Farabi]] (c. 870-950) as the distinction between his steps of [[12/11]] (150.637c) and the smaller 88/81 (143.498c), and, on the other hand, the major minthma (352/351, 4.925c) described by [[Wikipedia: Avicenna\|Ibn Sina]] (c.980-1037) in noting the "resemblance" between certain complex superpartient ratios and nearby simpler superparticular ratios, e.g. 128/117 (155.562c) and the simpler 12/11, or 88/81 and the simpler 13/12 (138.573c). These comparisons relate to the adjacent intervals included in the tetrachrds al-Farabi and Ibn Sina favor to realize the 'oudist Mansur Zalzal's tuning favoring a middle third:		One of the major commatic relations is between the rastma (243/242) on one hand, which occurs in the tuning of the mode of Zalzal by [[Wikipedia: al-Farabi\|al-Farabi]] (c. 870-950) as the distinction between his steps of [[12/11]] (150.637c) and the smaller 88/81 (143.498c), and, on the other hand, the major minthma (352/351, 4.925c) described by [[Wikipedia: Avicenna\|Ibn Sina]] (c.980-1037) in noting the "resemblance" between certain complex superpartient ratios and nearby simpler superparticular ratios, e.g. 128/117 (155.562c) and the simpler 12/11, or 88/81 and the simpler 13/12 (138.573c). These comparisons relate to the adjacent intervals included in the tetrachrds al-Farabi and Ibn Sina favor to realize the 'oudist Mansur Zalzal's tuning favoring a middle third:

Aura at 16:19, 17 January 2025

2025-01-17T16:19:28Z

← Older revision		Revision as of 16:19, 17 January 2025
Line 12:		Line 12:
	In terms of comma relations, it separates [[243/242]] from [[352/351]], separates [[144/143]] from a stack of two instances of 243/242, and, is the sum of the [[frameshift comma]] and the [[tridecapyth comma]].		In terms of comma relations, it separates [[243/242]] from [[352/351]], separates [[144/143]] from a stack of two instances of 243/242, and, is the sum of the [[frameshift comma]] and the [[tridecapyth comma]].

	== Etymology ==		== Etymology and Implications ==
	The name of this comma comes from a portmanteau of "Ibn Sina" and "Alpharabian", and was given by [[Aura]] on the basis of a series of connections between intervals that he found and shared with [[Margo Schulter]], who took note of the following implications, here paraphrased here in part by Aura.		The name of this comma comes from a portmanteau of "Ibn Sina" and "Alpharabian", and was given by [[Aura]] on the basis of a series of connections between intervals that he found and shared with [[Margo Schulter]], who took note of the following implications, here paraphrased here in part by Aura.

Aura at 16:17, 17 January 2025

2025-01-17T16:17:53Z

← Older revision		Revision as of 16:17, 17 January 2025
Line 17:		Line 17:
	One of the major commatic relations is between the rastma (243/242) on one hand, which occurs in the tuning of the mode of Zalzal by [[Wikipedia: al-Farabi\|al-Farabi]] (c. 870-950) as the distinction between his steps of [[12/11]] (150.637c) and the smaller 88/81 (143.498c), and, on the other hand, the major minthma (352/351, 4.925c) described by [[Wikipedia: Avicenna\|Ibn Sina]] (c.980-1037) in noting the "resemblance" between certain complex superpartient ratios and nearby simpler superparticular ratios, e.g. 128/117 (155.562c) and the simpler 12/11, or 88/81 and the simpler 13/12 (138.573c). These comparisons relate to the adjacent intervals included in the tetrachrds al-Farabi and Ibn Sina favor to realize the 'oudist Mansur Zalzal's tuning favoring a middle third:		One of the major commatic relations is between the rastma (243/242) on one hand, which occurs in the tuning of the mode of Zalzal by [[Wikipedia: al-Farabi\|al-Farabi]] (c. 870-950) as the distinction between his steps of [[12/11]] (150.637c) and the smaller 88/81 (143.498c), and, on the other hand, the major minthma (352/351, 4.925c) described by [[Wikipedia: Avicenna\|Ibn Sina]] (c.980-1037) in noting the "resemblance" between certain complex superpartient ratios and nearby simpler superparticular ratios, e.g. 128/117 (155.562c) and the simpler 12/11, or 88/81 and the simpler 13/12 (138.573c). These comparisons relate to the adjacent intervals included in the tetrachrds al-Farabi and Ibn Sina favor to realize the 'oudist Mansur Zalzal's tuning favoring a middle third:

	0.0c---203.910c--354.547c----498.045c

			Al-Farabi:
			0.0c---203.910c--354.547c----498.045c
	1/1--------9/8-------27/22-------4/3		1/1--------9/8-------27/22-------4/3
	~~Al-Farabi:~~ 9:8--------12:11--------88:81		9:8--------12:11--------88:81
	203.910c-----150.637c---143.498		203.910c-----150.637c---143.498

	0.0c------203.910c. 342.483c 498.045c		Ibn Sina:
	1/1----------9/8-------39/32------4/3		0.0c------203.910c. 342.483c 498.045c
	~~Ibn Sina:~~ 9:8---------13:12------128:117		1/1----------9/8-------39/32------4/3
	203.910c--138.573c---155.562c		9:8---------13:12------128:117
			203.910c--138.573c---155.562c

	In effect, the Sinarabian comma serves as a kind of bridge between these two tetrachords and tunings, hence its name. More details to come.		In effect, the Sinarabian comma serves as a kind of bridge between these two tetrachords and tunings, hence its name. More details to come.

Aura at 16:14, 17 January 2025

2025-01-17T16:14:07Z

@@ Line 13: / Line 13: @@
 == Etymology ==
-The name of this comma comes from a portmanteau of "Ibn Sina" and "Alpharabian", and was given by [[Aura]] on the basis of a series of connections between intervals that he found and shared with [[Margo Schulter]], who took note of a variety of implications, the details of which will be added to this article later.
+The name of this comma comes from a portmanteau of "Ibn Sina" and "Alpharabian", and was given by [[Aura]] on the basis of a series of connections between intervals that he found and shared with [[Margo Schulter]], who took note of the following implications, here paraphrased here in part by Aura.
 [[Category:Commas named after polymaths]]